Benchmark: [graspablemath.com] lodash cloneDeep vs. JSON.parse(JSON.stringify()) vs. fastest-json-copy

[graspablemath.com] lodash cloneDeep vs. JSON.parse(JSON.stringify()) vs. fastest-json-copy (version: 2)

This is like https://www.measurethat.net/Benchmarks/Show/13538/0/lodash-clonedeep-vs-jsonparsejsonstringify-vs-fastest-j , except it operates on a larger input object.

Comparing performance of: Lodash's cloneDeep vs JSON.parse(JSON.stringify()) vs recursiveDeepCopy vs fastest-json-copy npm package

Created: 4 years ago by: Registered User

Jump to the latest result

HTML Preparation code:

<script src='https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min.js'></script>

Script Preparation code:

// The pure POJO of a large file created by https://graspablemath.com/canvas
var MyObject = {"linkCoordinator":{"type":"LinkCoordinator","links":{"_b0d8295edc0844d0":{"id":"_b0d8295edc0844d0","type":"AlgebraModelLink","source":"_ca6f49eb5752216e","target":"_acffa5742f0de104","action":{"id":"_d8fb2583960dda74","name":"RemoveBracketsAction","type":"Action","priority":-1,"oldTree":"_ca6f49eb5752216e","newTree":"_acffa5742f0de104","triggerType":"tap","settings":{},"actor":"(2*2)"}},"_a383ffa01cc23667":{"id":"_a383ffa01cc23667","type":"AlgebraModelLink","source":"_8e8e4eff88583e94","target":"_a76dd20bb70c9047","action":{"id":"_e2c1eab04ca405c1","name":"CloneAction","type":"Action","priority":0,"oldTree":"_8e8e4eff88583e94","newTree":"_a76dd20bb70c9047","triggerType":"drag","settings":{}}},"_07c54dd9b27c0ffb_0":{"id":"_07c54dd9b27c0ffb_0","type":"AlgebraModelLink","source":"_63ccc3aae1ab9493","target":"_1c058c4b6764fb25","action":{"id":"_07c54dd9b27c0ffb","name":"AddSubNumbersAction","type":"Action","priority":6,"oldTree":"_63ccc3aae1ab9493","newTree":"_1c058c4b6764fb25","triggerType":"drag","settings":{"is_join_action":true,"delay":300,"side":"inside"},"nodes":"+4","target":"+3"}},"_fc9041ee0b1b8efd_0":{"id":"_fc9041ee0b1b8efd_0","type":"AlgebraModelLink","source":"_c8677524761a14b6","target":"_e56c64ceabad4e57","action":{"id":"_fc9041ee0b1b8efd","name":"AddSubNumbersAction","type":"Action","priority":6,"oldTree":"_c8677524761a14b6","newTree":"_e56c64ceabad4e57","triggerType":"tap","settings":{"is_join_action":true,"delay":300,"side":"inside"},"actor":"-3"}},"_1ec9b642b09d9b8e_0":{"id":"_1ec9b642b09d9b8e_0","type":"AlgebraModelLink","source":"_9b9564190010a437","target":"_b7126e921f8404f2","action":{"id":"_1ec9b642b09d9b8e","name":"MultiplyNumbersAction","type":"Action","priority":1,"oldTree":"_9b9564190010a437","newTree":"_b7126e921f8404f2","triggerType":"tap","settings":{"is_join_action":true,"delay":250,"side":"inside"},"actor":"*2"}},"_947509581a383ddd_0":{"id":"_947509581a383ddd_0","type":"AlgebraModelLink","source":"_bb273537bd8cb330","target":"_cc64019115ae6cbe","action":{"id":"_947509581a383ddd","name":"FractionDivideToInteger","type":"Action","priority":1,"oldTree":"_bb273537bd8cb330","newTree":"_cc64019115ae6cbe","triggerType":"tap","settings":{},"actor":"4/2"}},"_06a5f0f67621c4f6_0":{"id":"_06a5f0f67621c4f6_0","type":"AlgebraModelLink","source":"_0bd38085be361220","target":"_814d3173b7b9a4f6","action":{"id":"_06a5f0f67621c4f6","name":"AddSubNumbersAction","type":"Action","priority":6,"oldTree":"_0bd38085be361220","newTree":"_814d3173b7b9a4f6","triggerType":"drag","settings":{"is_join_action":true,"delay":300,"side":"inside"},"nodes":"+3","target":"+4"}},"_1ba5aae94c19a279_0":{"id":"_1ba5aae94c19a279_0","type":"AlgebraModelLink","source":"_814d3173b7b9a4f6","target":"_53528f2c2f9b1671","action":{"id":"_1ba5aae94c19a279","name":"CommuteAction","type":"Action","priority":-1,"oldTree":"_814d3173b7b9a4f6","newTree":"_53528f2c2f9b1671","triggerType":"drag","settings":{"side":"left-inside","is_join_action":false},"nodes":"+7","target":"8"}},"_59fb8422baec4838_0":{"id":"_59fb8422baec4838_0","type":"AlgebraModelLink","source":"_53528f2c2f9b1671","target":"_8bf6f0edad8dd627","action":{"id":"_59fb8422baec4838","name":"AddSubNumbersAction","type":"Action","priority":6,"oldTree":"_53528f2c2f9b1671","newTree":"_8bf6f0edad8dd627","triggerType":"drag","settings":{"is_join_action":true,"delay":300,"side":"inside"},"nodes":"+8","target":"+7"}},"_0f4867b241d5d35f_0":{"id":"_0f4867b241d5d35f_0","type":"AlgebraModelLink","source":"_80fd38b87c97f285","target":"_c1b1ee1e252e7c21","action":{"id":"_0f4867b241d5d35f","name":"MultiplyNumbersAction","type":"Action","priority":1,"oldTree":"_80fd38b87c97f285","newTree":"_c1b1ee1e252e7c21","triggerType":"drag","settings":{"is_join_action":true,"delay":250,"side":"inside"},"nodes":"*5:1","target":"*2"}},"_fe00be84a824214d_0":{"id":"_fe00be84a824214d_0","type":"AlgebraModelLink","source":"_c1b1ee1e252e7c21","target":"_f067e6a8b6920a1a","action":{"id":"_fe00be84a824214d","name":"MultiplyNumbersAction","type":"Action","priority":1,"oldTree":"_c1b1ee1e252e7c21","newTree":"_f067e6a8b6920a1a","triggerType":"drag","settings":{"is_join_action":true,"delay":250,"side":"inside"},"nodes":"*10","target":"*5"}},"_c9308cc339de2838_0":{"id":"_c9308cc339de2838_0","type":"AlgebraModelLink","source":"_f067e6a8b6920a1a","target":"_ad71e26e58ba9a33","action":{"id":"_c9308cc339de2838","name":"MultiplyNumbersAction","type":"Action","priority":1,"oldTree":"_f067e6a8b6920a1a","newTree":"_ad71e26e58ba9a33","triggerType":"drag","settings":{"is_join_action":true,"delay":250,"side":"inside"},"nodes":"*50","target":"*9"}},"_1cf4d1826bc45a74_0":{"id":"_1cf4d1826bc45a74_0","type":"AlgebraModelLink","source":"_4bc13b49c107bf45","target":"_83a03c53463f1dfc","action":{"id":"_1cf4d1826bc45a74","name":"AddVariablesAction","type":"Action","priority":1,"oldTree":"_4bc13b49c107bf45","newTree":"_83a03c53463f1dfc","triggerType":"tap","settings":{"is_join_action":true,"delay":300,"side":"inside"},"actor":"+4*x"}},"_59e3f6d77af44231_0":{"id":"_59e3f6d77af44231_0","type":"AlgebraModelLink","source":"_ac95e27ae09eab44","target":"_8075b98970aba847","action":{"id":"_59e3f6d77af44231","name":"AddVariablesAction","type":"Action","priority":1,"oldTree":"_ac95e27ae09eab44","newTree":"_8075b98970aba847","triggerType":"drag","settings":{"is_join_action":true,"delay":300,"side":"inside"},"nodes":"+5*x*y","target":"+3*x*y"}},"_2327adf48db4510c_0":{"id":"_2327adf48db4510c_0","type":"AlgebraModelLink","source":"_8cc0c24492ec4b22","target":"_b8779d471842497f","action":{"id":"_2327adf48db4510c","name":"FactorCommonTermsAction","type":"Action","priority":0,"oldTree":"_8cc0c24492ec4b22","newTree":"_b8779d471842497f","triggerType":"drag","settings":{"delay":600,"side":"inside","reset_x":true,"reset_y":true},"nodes":"*x:1","target":"*x","target_is_array":true}},"_49e035cc2c594b0e_0":{"id":"_49e035cc2c594b0e_0","type":"AlgebraModelLink","source":"_c74998b8521bd53c","target":"_39ade8a57e0a77bf","action":{"id":"_49e035cc2c594b0e","name":"FactorCommonTermsAction","type":"Action","priority":0,"oldTree":"_c74998b8521bd53c","newTree":"_39ade8a57e0a77bf","triggerType":"drag","settings":{"delay":600,"side":"inside","reset_x":true,"reset_y":true},"nodes":"*5:1","target":"*5","target_is_array":true}},"_346dbdcedf173358_0":{"id":"_346dbdcedf173358_0","type":"AlgebraModelLink","source":"_823095df755951fd","target":"_aff4a452ee500630","action":{"id":"_346dbdcedf173358","name":"DistributeIntoBracketsAction","type":"Action","priority":2,"oldTree":"_823095df755951fd","newTree":"_aff4a452ee500630","triggerType":"drag","settings":{"reset_x":true,"reset_y":true,"delay":300,"side":"left-inside","is_join_action":false},"nodes":"*2","target":"x+y"}},"_692fa6665647587b_0":{"id":"_692fa6665647587b_0","type":"AlgebraModelLink","source":"_aff4a452ee500630","target":"_200ab705ad2ce76b","action":{"id":"_692fa6665647587b","name":"PostInteractionSimplificationAction","type":"Action","priority":0,"oldTree":"_aff4a452ee500630","newTree":"_200ab705ad2ce76b","triggerType":"auto","settings":{"simplify_products":true,"simplify_sums":true,"simplify_multiplicative_identities":true,"simplify_additive_identities":true,"simplify_multiplicative_annihilators":true},"nodes":"(2*x+2*y);2*x;2*y"}},"_9ffe1cd579063e34_0":{"id":"_9ffe1cd579063e34_0","type":"AlgebraModelLink","source":"_82d0fba717885732","target":"_5374704bcb9b7214","action":{"id":"_9ffe1cd579063e34","name":"DistributeIntoBracketsAction","type":"Action","priority":2,"oldTree":"_82d0fba717885732","newTree":"_5374704bcb9b7214","triggerType":"drag","settings":{"reset_x":true,"reset_y":true,"delay":300,"side":"right-inside","is_join_action":false},"nodes":"*x","target":"2+3"}},"_6b1c6b10de748dae_0":{"id":"_6b1c6b10de748dae_0","type":"AlgebraModelLink","source":"_5374704bcb9b7214","target":"_788883e2b123a3bc","action":{"id":"_6b1c6b10de748dae","name":"PostInteractionSimplificationAction","type":"Action","priority":0,"oldTree":"_5374704bcb9b7214","newTree":"_788883e2b123a3bc","triggerType":"auto","settings":{"simplify_products":true,"simplify_sums":true,"simplify_multiplicative_identities":true,"simplify_additive_identities":true,"simplify_multiplicative_annihilators":true},"nodes":"(2*x+3*x);*2;*3"}},"_c516396b2c2430b1_0":{"id":"_c516396b2c2430b1_0","type":"AlgebraModelLink","source":"_cd4e82db54f9e3a5","target":"_e59d907587c06ca0","action":{"id":"_c516396b2c2430b1","name":"FractionCancelTermsAction","type":"Action","priority":0,"oldTree":"_cd4e82db54f9e3a5","newTree":"_e59d907587c06ca0","triggerType":"tap","settings":{"delay":400,"side":"inside","reset_x":true,"reset_y":true,"prev_branch":"split-mul","tap_to_cancel":true,"cancel_common_terms_after_finding_gcf":true},"actor":"(9*x)/3"}},"_0c20a28c7e0a88ef_0":{"id":"_0c20a28c7e0a88ef_0","type":"AlgebraModelLink","source":"_e59d907587c06ca0","target":"_ca9a1f14db4c7007","action":{"id":"_0c20a28c7e0a88ef","name":"FractionCancelTermsAction","type":"Action","priority":2,"oldTree":"_e59d907587c06ca0","newTree":"_ca9a1f14db4c7007","triggerType":"drag","settings":{"delay":400,"side":"inside","reset_x":true,"reset_y":true,"prev_branch":"rem-both","tap_to_cancel":true,"cancel_common_terms_after_finding_gcf":true},"nodes":"/3","target":"*3"}},"_722427ea1d479a91_0":{"id":"_722427ea1d479a91_0","type":"AlgebraModelLink","source":"_28ee32b9f7ad7531","target":"_b2b16102be079e57","action":{"id":"_722427ea1d479a91","name":"FractionCancelTermsAction","type":"Action","priority":0,"oldTree":"_28ee32b9f7ad7531","newTree":"_b2b16102be079e57","triggerType":"tap","settings":{"delay":400,"side":"inside","reset_x":true,"reset_y":true,"prev_branch":"split-mul","tap_to_cancel":true,"cancel_common_terms_after_finding_gcf":true},"actor":"(12*x)/4"}},"_d6d33a33fc1be955_0":{"id":"_d6d33a33fc1be955_0","type":"AlgebraModelLink","source":"_b2b16102be079e57","target":"_6236ed7917d63f25","action":{"id":"_d6d33a33fc1be955","name":"FractionCancelTermsAction","type":"Action","priority":2,"oldTree":"_b2b16102be079e57","newTree":"_6236ed7917d63f25","triggerType":"drag","settings":{"delay":400,"side":"inside","reset_x":true,"reset_y":true,"prev_branch":"rem-both","tap_to_cancel":true,"cancel_common_terms_after_finding_gcf":true},"nodes":"/4","target":"*4"}},"_4f90a74a581cf669_0":{"id":"_4f90a74a581cf669_0","type":"AlgebraModelLink","source":"_1f524a56ee27fda0","target":"_78f234e8b5878926","action":{"id":"_4f90a74a581cf669","name":"AddSubInvertAction","type":"Action","priority":0,"oldTree":"_1f524a56ee27fda0","newTree":"_78f234e8b5878926","triggerType":"drag","settings":{"side":"right-inside","margin":{"y":-0.5},"allow_drag_across_relation":true,"simplify_after_drag_across_relation":false,"is_join_action":false},"nodes":"+5","target":"7"}},"_a08aa08097125528_0":{"id":"_a08aa08097125528_0","type":"AlgebraModelLink","source":"_78f234e8b5878926","target":"_09034681444dcca3","action":{"id":"_a08aa08097125528","name":"AddSubNumbersAction","type":"Action","priority":6,"oldTree":"_78f234e8b5878926","newTree":"_09034681444dcca3","triggerType":"drag","settings":{"is_join_action":true,"delay":300,"side":"inside"},"nodes":"-5","target":"+7"}},"_b0305abf835c7bb9_0":{"id":"_b0305abf835c7bb9_0","type":"AlgebraModelLink","source":"_949c6469937fcb5d","target":"_f2d39d34f6d50c1f","action":{"id":"_b0305abf835c7bb9","name":"flipEquationAction","type":"Action","priority":1,"oldTree":"_949c6469937fcb5d","newTree":"_f2d39d34f6d50c1f","triggerType":"tap","settings":{},"actor":"a=b"}},"_f27ad3c13e3014c0_0":{"id":"_f27ad3c13e3014c0_0","type":"AlgebraModelLink","source":"_b0ec7f30e09479af","target":"_a982c4b144e986b6","action":{"id":"_f27ad3c13e3014c0","name":"flipEquationAction","type":"Action","priority":1,"oldTree":"_b0ec7f30e09479af","newTree":"_a982c4b144e986b6","triggerType":"tap","settings":{},"actor":"\"goodbye\"=\"hello\""}},"_882a1ad14959e048_0":{"id":"_882a1ad14959e048_0","type":"AlgebraModelLink","source":"_d1a175a33a52342b","target":"_c3ca14667ecec109","action":{"id":"_882a1ad14959e048","name":"CloneAction","type":"Action","priority":0,"oldTree":"_d1a175a33a52342b","newTree":"_c3ca14667ecec109","triggerType":"drag","settings":{}}},"_c0fda73f9127cdb3_0":{"id":"_c0fda73f9127cdb3_0","type":"AlgebraModelLink","source":"_4ce4fe7daac7d99b","target":"_ae035eaa75743f54","action":{"id":"_c0fda73f9127cdb3","name":"CloneAction","type":"Action","priority":0,"oldTree":"_4ce4fe7daac7d99b","newTree":"_ae035eaa75743f54","triggerType":"drag","settings":{}}},"_21ee19de4f42e095_0":{"id":"_21ee19de4f42e095_0","type":"AlgebraModelLink","source":"_d1a175a33a52342b","target":"_076128b0c6493cb3","action":{"id":"_21ee19de4f42e095","name":"FractionMatchExtendAction","type":"Action","priority":0,"oldTree":"_d1a175a33a52342b","newTree":"_076128b0c6493cb3","triggerType":"drag","settings":{"delay":1500,"on_release":false,"target_group":true,"no_target_box_expansion":true,"side":"right-of"},"nodes":"/2","target":"1/3"}},"_ed2dda722d80314d_0":{"id":"_ed2dda722d80314d_0","type":"AlgebraModelLink","source":"_076128b0c6493cb3","target":"_b220e40f39e937db","action":{"id":"_ed2dda722d80314d","name":"FractionMatchExtendAction","type":"Action","priority":0,"oldTree":"_076128b0c6493cb3","newTree":"_b220e40f39e937db","triggerType":"drag","settings":{"delay":1500,"on_release":false,"target_group":true,"no_target_box_expansion":true,"side":"left-of"},"nodes":"/3","target":"1/2"}},"_9d68ab1951efa0c0_0":{"id":"_9d68ab1951efa0c0_0","type":"AlgebraModelLink","source":"_b220e40f39e937db","target":"_5c65221c333b9bf7","action":{"id":"_9d68ab1951efa0c0","name":"MultiplyNumbersAction","type":"Action","priority":1,"oldTree":"_b220e40f39e937db","newTree":"_5c65221c333b9bf7","triggerType":"tap","settings":{"is_join_action":true,"delay":250,"side":"inside"},"actor":"/2"}},"_74ccc96334f81420_0":{"id":"_74ccc96334f81420_0","type":"AlgebraModelLink","source":"_5c65221c333b9bf7","target":"_cf8a7d6385899260","action":{"id":"_74ccc96334f81420","name":"CrossMultiplyFractionsAction","type":"Action","priority":1,"oldTree":"_5c65221c333b9bf7","newTree":"_cf8a7d6385899260","triggerType":"dbltap","settings":{},"actor":"+2/(3*2)"}},"_010e9af10a24a437_0":{"id":"_010e9af10a24a437_0","type":"AlgebraModelLink","source":"_c7f81eb1158d195f","target":"_9961d7c50dce518c","action":{"id":"_010e9af10a24a437","name":"CloneAction","type":"Action","priority":0,"oldTree":"_c7f81eb1158d195f","newTree":"_9961d7c50dce518c","triggerType":"drag","settings":{}}},"_9a5be5cf7d9b8ce1_0":{"id":"_9a5be5cf7d9b8ce1_0","type":"AlgebraModelLink","source":"_9961d7c50dce518c","target":"_5b44d5d45c1d5ee9","action":{"id":"_9a5be5cf7d9b8ce1","name":"CommuteAction","type":"Action","priority":-1,"oldTree":"_9961d7c50dce518c","newTree":"_5b44d5d45c1d5ee9","triggerType":"drag","settings":{"side":"left-inside","is_join_action":false},"nodes":"*(b+1)","target":"a"}},"_a253fc25bb1624e6_0":{"id":"_a253fc25bb1624e6_0","type":"AlgebraModelLink","source":"_eff0e177aa554050","target":"_427efd775abfa5df","action":{"id":"_a253fc25bb1624e6","name":"CloneAction","type":"Action","priority":0,"oldTree":"_eff0e177aa554050","newTree":"_427efd775abfa5df","triggerType":"drag","settings":{}}},"_0b780b397c2acb18_0":{"id":"_0b780b397c2acb18_0","type":"AlgebraModelLink","source":"_427efd775abfa5df","target":"_217b3b106a3e4c2a","action":{"id":"_0b780b397c2acb18","name":"CommuteAction","type":"Action","priority":-1,"oldTree":"_427efd775abfa5df","newTree":"_217b3b106a3e4c2a","triggerType":"drag","settings":{"side":"left-inside","is_join_action":false},"nodes":"*a;*b","target":"2"}},"_7737217e9fc9d95c_0":{"id":"_7737217e9fc9d95c_0","type":"AlgebraModelLink","source":"_217b3b106a3e4c2a","target":"_6311a262d6fd9472","action":{"id":"_7737217e9fc9d95c","name":"FactorCommonTermsAction","type":"Action","priority":0,"oldTree":"_217b3b106a3e4c2a","newTree":"_6311a262d6fd9472","triggerType":"drag","settings":{"delay":600,"side":"inside","reset_x":true,"reset_y":true},"nodes":"*a;*b","target":"*a:1;*b:1"}},"_eba63d21bb698c02_0":{"id":"_eba63d21bb698c02_0","type":"AlgebraModelLink","source":"_901dec5d8b983b5d","target":"_3be03dc282c2eff0","action":{"id":"_eba63d21bb698c02","name":"AddFractionsAction","type":"Action","priority":1.1,"oldTree":"_901dec5d8b983b5d","newTree":"_3be03dc282c2eff0","triggerType":"tap","settings":{"delay":250,"side":"inside"},"actor":"+4/3"}},"_0710c66d09f2cfc3_0":{"id":"_0710c66d09f2cfc3_0","type":"AlgebraModelLink","source":"_dcd5f137d48c0c71","target":"_6ffc037d71c33a28","action":{"id":"_0710c66d09f2cfc3","name":"AddFractionsAction","type":"Action","priority":1.1,"oldTree":"_dcd5f137d48c0c71","newTree":"_6ffc037d71c33a28","triggerType":"tap","settings":{"delay":250,"side":"inside"},"actor":"+4/(3*y*z)"}},"_e7fc08eced4e1faf_0":{"id":"_e7fc08eced4e1faf_0","type":"AlgebraModelLink","source":"_d004fe8e03b49d57","target":"_987a87ab567c48fd","action":{"id":"_e7fc08eced4e1faf","name":"CloneAction","type":"Action","priority":0,"oldTree":"_d004fe8e03b49d57","newTree":"_987a87ab567c48fd","triggerType":"drag","settings":{}}},"_ab2bc845ca2ee4d8_0":{"id":"_ab2bc845ca2ee4d8_0","type":"AlgebraModelLink","source":"_0c2efb06bdbe79e5","target":"_d22f7efb1ef98570","action":{"id":"_ab2bc845ca2ee4d8","name":"CloneAction","type":"Action","priority":0,"oldTree":"_0c2efb06bdbe79e5","newTree":"_d22f7efb1ef98570","triggerType":"drag","settings":{}}},"_50aa8c9f0d0e57fa_0":{"id":"_50aa8c9f0d0e57fa_0","type":"AlgebraModelLink","source":"_d22f7efb1ef98570","target":"_aeb21649027d5d95","action":{"id":"_50aa8c9f0d0e57fa","name":"FractionMatchExtendAction","type":"Action","priority":0,"oldTree":"_d22f7efb1ef98570","newTree":"_aeb21649027d5d95","triggerType":"drag","settings":{"delay":1500,"on_release":false,"target_group":true,"no_target_box_expansion":true,"side":"left-of"},"nodes":"/3","target":"1"}},"_9513b76967317b00_0":{"id":"_9513b76967317b00_0","type":"AlgebraModelLink","source":"_987a87ab567c48fd","target":"_99ad6da1d8c944f4","action":{"id":"_9513b76967317b00","name":"FractionMatchExtendAction","type":"Action","priority":0,"oldTree":"_987a87ab567c48fd","newTree":"_99ad6da1d8c944f4","triggerType":"drag","settings":{"delay":1500,"on_release":false,"target_group":true,"no_target_box_expansion":true,"side":"right-of"},"nodes":"/2","target":"1/3"}},"_1d8e405d74b8631f_0":{"id":"_1d8e405d74b8631f_0","type":"AlgebraModelLink","source":"_99ad6da1d8c944f4","target":"_6b8e1ff8e10eefd0","action":{"id":"_1d8e405d74b8631f","name":"FractionMatchExtendAction","type":"Action","priority":0,"oldTree":"_99ad6da1d8c944f4","newTree":"_6b8e1ff8e10eefd0","triggerType":"drag","settings":{"delay":1500,"on_release":false,"target_group":true,"no_target_box_expansion":true,"side":"left-of"},"nodes":"/3","target":"1/2"}},"_a2b7fc82e479605c_0":{"id":"_a2b7fc82e479605c_0","type":"AlgebraModelLink","source":"_6b8e1ff8e10eefd0","target":"_c48959cce8fb4786","action":{"id":"_a2b7fc82e479605c","name":"MultiplyNumbersAction","type":"Action","priority":1,"oldTree":"_6b8e1ff8e10eefd0","newTree":"_c48959cce8fb4786","triggerType":"tap","settings":{"is_join_action":true,"delay":250,"side":"inside"},"actor":"/2"}},"_328f3acb52db731a_0":{"id":"_328f3acb52db731a_0","type":"AlgebraModelLink","source":"_c48959cce8fb4786","target":"_d6ae50b99f36515d","action":{"id":"_328f3acb52db731a","name":"MultiplyNumbersAction","type":"Action","priority":1,"oldTree":"_c48959cce8fb4786","newTree":"_d6ae50b99f36515d","triggerType":"tap","settings":{"is_join_action":true,"delay":250,"side":"inside"},"actor":"/2"}},"_8f7cf762bd354e15_0":{"id":"_8f7cf762bd354e15_0","type":"AlgebraModelLink","source":"_813392a55a82e025","target":"_a6d606c5cf329dfa","action":{"id":"_8f7cf762bd354e15","name":"FractionDivideToNonInteger","type":"Action","priority":-1,"oldTree":"_813392a55a82e025","newTree":"_a6d606c5cf329dfa","triggerType":"dbltap","settings":{"only_integer_division":false},"actor":"3/2"}},"_b75101787a15938f_0":{"id":"_b75101787a15938f_0","type":"AlgebraModelLink","source":"_0a444e056160a795","target":"_378747ae47a09c1a","action":{"id":"_b75101787a15938f","name":"CloneAction","type":"Action","priority":0,"oldTree":"_0a444e056160a795","newTree":"_378747ae47a09c1a","triggerType":"drag","settings":{}}},"_0be630259874dc0c_0":{"id":"_0be630259874dc0c_0","type":"AlgebraModelLink","source":"_378747ae47a09c1a","target":"_6447cb27377da2ad","action":{"id":"_0be630259874dc0c","name":"FractionCancelTermsAction","type":"Action","priority":2,"oldTree":"_378747ae47a09c1a","newTree":"_6447cb27377da2ad","triggerType":"drag","settings":{"delay":400,"side":"inside","reset_x":true,"reset_y":true,"prev_branch":"rem-both","tap_to_cancel":true,"cancel_common_terms_after_finding_gcf":true},"nodes":"*2","target":"/2"}},"_383eeb1f6d14d0df_0":{"id":"_383eeb1f6d14d0df_0","type":"AlgebraModelLink","source":"_b9376e8033ccf54c","target":"_2fa1933631a2da28","action":{"id":"_383eeb1f6d14d0df","name":"CloneAction","type":"Action","priority":0,"oldTree":"_b9376e8033ccf54c","newTree":"_2fa1933631a2da28","triggerType":"drag","settings":{}}},"_4e4e677816e8d765_0":{"id":"_4e4e677816e8d765_0","type":"AlgebraModelLink","source":"_d621c4944c85d0e7","target":"_a691342d95890e4e","action":{"id":"_4e4e677816e8d765","name":"CloneAction","type":"Action","priority":0,"oldTree":"_d621c4944c85d0e7","newTree":"_a691342d95890e4e","triggerType":"drag","settings":{}}},"_29ba1f8df8c6089a_0":{"id":"_29ba1f8df8c6089a_0","type":"AlgebraModelLink","source":"_f1848108a5366806","target":"_3bea4e67dbdd95a9","action":{"id":"_29ba1f8df8c6089a","name":"CloneAction","type":"Action","priority":0,"oldTree":"_f1848108a5366806","newTree":"_3bea4e67dbdd95a9","triggerType":"drag","settings":{}}},"_201df32a7fd341c6_0":{"id":"_201df32a7fd341c6_0","type":"AlgebraModelLink","source":"_3bea4e67dbdd95a9","target":"_e3001835d8b4f2d9","action":{"id":"_201df32a7fd341c6","name":"FlipTermAcrossFractionAction","type":"Action","priority":1,"oldTree":"_3bea4e67dbdd95a9","newTree":"_e3001835d8b4f2d9","triggerType":"drag","settings":{"delay":1500,"reset_y":true,"target_group":true,"group_side":"around","no_target_box_expansion":true,"allow_term_flipping":true,"side":"right-of","margin":{"y1":0.3}},"nodes":"*c^(-3)","target":"/b"}},"_c165e5e2baa1c0fb_0":{"id":"_c165e5e2baa1c0fb_0","type":"AlgebraModelLink","source":"_2c2334f075ea1c4d","target":"_387c334a0b864f5a","action":{"id":"_c165e5e2baa1c0fb","name":"CloneAction","type":"Action","priority":0,"oldTree":"_2c2334f075ea1c4d","newTree":"_387c334a0b864f5a","triggerType":"drag","settings":{}}},"_d104598a780bf787_0":{"id":"_d104598a780bf787_0","type":"AlgebraModelLink","source":"_387c334a0b864f5a","target":"_c0ecbef071136564","action":{"id":"_d104598a780bf787","name":"FlipTermAcrossFractionAction","type":"Action","priority":1,"oldTree":"_387c334a0b864f5a","newTree":"_c0ecbef071136564","triggerType":"drag","settings":{"delay":1500,"reset_y":true,"target_group":true,"group_side":"around","no_target_box_expansion":true,"allow_term_flipping":true,"side":"right-of","margin":{"y2":0.3}},"nodes":"/c^(-1)","target":"*1"}},"_0344e974010c0e30_0":{"id":"_0344e974010c0e30_0","type":"AlgebraModelLink","source":"_a27217024571c752","target":"_2203e40175b62f6d","action":{"id":"_0344e974010c0e30","name":"CloneAction","type":"Action","priority":0,"oldTree":"_a27217024571c752","newTree":"_2203e40175b62f6d","triggerType":"drag","settings":{}}},"_99920f6379eefce4_0":{"id":"_99920f6379eefce4_0","type":"AlgebraModelLink","source":"_2203e40175b62f6d","target":"_502d90d9b998fbc6","action":{"id":"_99920f6379eefce4","name":"CommuteAction","type":"Action","priority":-1,"oldTree":"_2203e40175b62f6d","newTree":"_502d90d9b998fbc6","triggerType":"drag","settings":{"side":"left-inside","is_join_action":false},"nodes":"+y:1","target":"4*x"}},"_d37de61ef38fe36c_0":{"id":"_d37de61ef38fe36c_0","type":"AlgebraModelLink","source":"_502d90d9b998fbc6","target":"_f65fbfcda2635833","action":{"id":"_d37de61ef38fe36c","name":"AddVariablesAction","type":"Action","priority":1,"oldTree":"_502d90d9b998fbc6","newTree":"_f65fbfcda2635833","triggerType":"drag","settings":{"is_join_action":true,"delay":300,"side":"inside"},"nodes":"+y","target":"+y:1"}},"_aeb0da1bb62280ea_0":{"id":"_aeb0da1bb62280ea_0","type":"AlgebraModelLink","source":"_f65fbfcda2635833","target":"_6e34663827773c4e","action":{"id":"_aeb0da1bb62280ea","name":"AddVariablesAction","type":"Action","priority":1,"oldTree":"_f65fbfcda2635833","newTree":"_6e34663827773c4e","triggerType":"drag","settings":{"is_join_action":true,"delay":300,"side":"inside"},"nodes":"+5*x","target":"+4*x"}},"_50d9a888eff71c04_0":{"id":"_50d9a888eff71c04_0","type":"AlgebraModelLink","source":"_6e34663827773c4e","target":"_95dffef9b3a59a0a","action":{"id":"_50d9a888eff71c04","name":"AddSubNumbersAction","type":"Action","priority":6,"oldTree":"_6e34663827773c4e","newTree":"_95dffef9b3a59a0a","triggerType":"drag","settings":{"is_join_action":true,"delay":300,"side":"inside"},"nodes":"+3","target":"+9"}},"_e00858b36d0c7a13_0":{"id":"_e00858b36d0c7a13_0","type":"AlgebraModelLink","source":"_163b1501e763447f","target":"_49aaf6501d9900b8","action":{"id":"_e00858b36d0c7a13","name":"CloneAction","type":"Action","priority":0,"oldTree":"_163b1501e763447f","newTree":"_49aaf6501d9900b8","triggerType":"drag","settings":{}}},"_1399a100e8342c87_0":{"id":"_1399a100e8342c87_0","type":"AlgebraModelLink","source":"_49aaf6501d9900b8","target":"_1c3fd32b196ef632","action":{"id":"_1399a100e8342c87","name":"FractionCancelTermsAction","type":"Action","priority":2,"oldTree":"_49aaf6501d9900b8","newTree":"_1c3fd32b196ef632","triggerType":"drag","settings":{"delay":400,"side":"inside","reset_x":true,"reset_y":true,"prev_branch":"rem-both","tap_to_cancel":true,"cancel_common_terms_after_finding_gcf":true,"is_join_action":false},"nodes":"/x","target":"*x"}},"_26c40d4f6782941d_0":{"id":"_26c40d4f6782941d_0","type":"AlgebraModelLink","source":"_1c3fd32b196ef632","target":"_81350b15d8dab06e","action":{"id":"_26c40d4f6782941d","name":"FractionCancelTermsAction","type":"Action","priority":2,"oldTree":"_1c3fd32b196ef632","newTree":"_81350b15d8dab06e","triggerType":"drag","settings":{"delay":400,"side":"inside","reset_x":true,"reset_y":true,"prev_branch":"split-both","tap_to_cancel":true,"cancel_common_terms_after_finding_gcf":true},"nodes":"/10","target":"*45"}},"_ef8d736298fb1cb9_0":{"id":"_ef8d736298fb1cb9_0","type":"AlgebraModelLink","source":"_81350b15d8dab06e","target":"_878cdab9c14e95d0","action":{"id":"_ef8d736298fb1cb9","name":"FractionCancelTermsAction","type":"Action","priority":2,"oldTree":"_81350b15d8dab06e","newTree":"_878cdab9c14e95d0","triggerType":"drag","settings":{"delay":400,"side":"inside","reset_x":true,"reset_y":true,"prev_branch":"rem-both","tap_to_cancel":true,"cancel_common_terms_after_finding_gcf":true},"nodes":"/5","target":"*5"}},"_4b9b74663173d162_0":{"id":"_4b9b74663173d162_0","type":"AlgebraModelLink","source":"_878cdab9c14e95d0","target":"_c93749659891dfe9","action":{"id":"_4b9b74663173d162","name":"FractionDivideToNonInteger","type":"Action","priority":-1,"oldTree":"_878cdab9c14e95d0","newTree":"_c93749659891dfe9","triggerType":"dbltap","settings":{"only_integer_division":false},"actor":"9/2"}},"_4733e1ffcc31d2d9_0":{"id":"_4733e1ffcc31d2d9_0","type":"AlgebraModelLink","source":"_f9ecc04813b85808","target":"_ba443a8398340c53","action":{"id":"_4733e1ffcc31d2d9","name":"CloneAction","type":"Action","priority":0,"oldTree":"_f9ecc04813b85808","newTree":"_ba443a8398340c53","triggerType":"drag","settings":{}}},"_5c62b1460af6a0c2_0":{"id":"_5c62b1460af6a0c2_0","type":"AlgebraModelLink","source":"_ba443a8398340c53","target":"_03533ca83c309239","action":{"id":"_5c62b1460af6a0c2","name":"RemoveBracketsAction","type":"Action","priority":-1,"oldTree":"_ba443a8398340c53","newTree":"_03533ca83c309239","triggerType":"tap","settings":{},"actor":"(x)"}},"_bfdea469895056a7_0":{"id":"_bfdea469895056a7_0","type":"AlgebraModelLink","source":"_a4bb472949cdcb12","target":"_27842be37422fc9f","action":{"id":"_bfdea469895056a7","name":"CloneAction","type":"Action","priority":0,"oldTree":"_a4bb472949cdcb12","newTree":"_27842be37422fc9f","triggerType":"drag","settings":{}}},"_e2635f71cf8b5bcb_0":{"id":"_e2635f71cf8b5bcb_0","type":"AlgebraModelLink","source":"_27842be37422fc9f","target":"_83dd5b123d201f4e","action":{"id":"_e2635f71cf8b5bcb","name":"DirectSubstitutionAction","type":"Action","priority":10,"oldTree":"_27842be37422fc9f","newTree":"_83dd5b123d201f4e","triggerType":"drag","settings":{"delay":400,"on_release":true,"side":"inside","always_surround_substituted_with_parenthesis":true,"offset":{"x":629.7011291593353,"y":-14.647661351680199}},"source_am":"_5c7aa16e4868df7d","nodes":"1","target":"x","target_is_array":true}},"_e2635f71cf8b5bcb_1":{"id":"_e2635f71cf8b5bcb_1","type":"AlgebraModelLink","source":"_5c7aa16e4868df7d","target":"_83dd5b123d201f4e","action":{"id":"_e2635f71cf8b5bcb","name":"DirectSubstitutionAction","type":"Action","priority":10,"oldTree":"_27842be37422fc9f","newTree":"_83dd5b123d201f4e","triggerType":"drag","settings":{"delay":400,"on_release":true,"side":"inside","always_surround_substituted_with_parenthesis":true,"offset":{"x":629.7011291593353,"y":-14.647661351680199}},"source_am":"_5c7aa16e4868df7d","nodes":"1","target":"x","target_is_array":true}},"_a2e01ac150152061_0":{"id":"_a2e01ac150152061_0","type":"AlgebraModelLink","source":"_9a7f5e5d050777d9","target":"_6be67ace68d8ede5","action":{"id":"_a2e01ac150152061","name":"CloneAction","type":"Action","priority":0,"oldTree":"_9a7f5e5d050777d9","newTree":"_6be67ace68d8ede5","triggerType":"drag","settings":{}}},"_40b70177710f9686_0":{"id":"_40b70177710f9686_0","type":"AlgebraModelLink","source":"_6be67ace68d8ede5","target":"_a09138fbe3af04ef","action":{"id":"_40b70177710f9686","name":"CalculatePowerAction","type":"Action","priority":0,"oldTree":"_6be67ace68d8ede5","newTree":"_a09138fbe3af04ef","triggerType":"tap","settings":{},"actor":"^4"}},"_e36e13d915d6f187_0":{"id":"_e36e13d915d6f187_0","type":"AlgebraModelLink","source":"_31f87fe371e36d9a","target":"_9db97ac078d31fa3","action":{"id":"_e36e13d915d6f187","name":"CloneAction","type":"Action","priority":0,"oldTree":"_31f87fe371e36d9a","newTree":"_9db97ac078d31fa3","triggerType":"drag","settings":{}}},"_a8f31c104731e493_0":{"id":"_a8f31c104731e493_0","type":"AlgebraModelLink","source":"_9db97ac078d31fa3","target":"_ee265162f40f16be","action":{"id":"_a8f31c104731e493","name":"CalculatePowerAction","type":"Action","priority":0,"oldTree":"_9db97ac078d31fa3","newTree":"_ee265162f40f16be","triggerType":"tap","settings":{},"actor":"^(-3)"}},"_e530438ce5a1fda6_0":{"id":"_e530438ce5a1fda6_0","type":"AlgebraModelLink","source":"_9db97ac078d31fa3","target":"_cf8cf14395e6a7fe","action":{"id":"_e530438ce5a1fda6","name":"CloneAction","type":"Action","priority":0,"oldTree":"_9db97ac078d31fa3","newTree":"_cf8cf14395e6a7fe","triggerType":"drag","settings":{}}},"_e4d3605326a32098_0":{"id":"_e4d3605326a32098_0","type":"AlgebraModelLink","source":"_d098142712bc7673","target":"_24daa6d1f22903f5","action":{"id":"_e4d3605326a32098","name":"CloneAction","type":"Action","priority":0,"oldTree":"_d098142712bc7673","newTree":"_24daa6d1f22903f5","triggerType":"drag","settings":{}}},"_6303ff58ec3c1735_0":{"id":"_6303ff58ec3c1735_0","type":"AlgebraModelLink","source":"_24daa6d1f22903f5","target":"_7d5c943eb26a279f","action":{"id":"_6303ff58ec3c1735","name":"MultiplyPowersAction","type":"Action","priority":0,"oldTree":"_24daa6d1f22903f5","newTree":"_7d5c943eb26a279f","triggerType":"tap","settings":{"delay":250,"side":"inside","useFollowUpAction":false},"actor":"*x:1"}},"_5c4ecad381438ea2_0":{"id":"_5c4ecad381438ea2_0","type":"AlgebraModelLink","source":"_7d5c943eb26a279f","target":"_73eafa87799a5065","action":{"id":"_5c4ecad381438ea2","name":"MultiplyPowersAction","type":"Action","priority":0,"oldTree":"_7d5c943eb26a279f","newTree":"_73eafa87799a5065","triggerType":"tap","settings":{"delay":250,"side":"inside","useFollowUpAction":false},"actor":"*x"}},"_9aee01d99699409c_0":{"id":"_9aee01d99699409c_0","type":"AlgebraModelLink","source":"_a22563dadfe9e1f9","target":"_51b1e57e79f4bddf","action":{"id":"_9aee01d99699409c","name":"CloneAction","type":"Action","priority":0,"oldTree":"_a22563dadfe9e1f9","newTree":"_51b1e57e79f4bddf","triggerType":"drag","settings":{}}},"_e5b2dcfcab62e119_0":{"id":"_e5b2dcfcab62e119_0","type":"AlgebraModelLink","source":"_51b1e57e79f4bddf","target":"_d99f5fb6d41c0c26","action":{"id":"_e5b2dcfcab62e119","name":"MultiplyPowersAction","type":"Action","priority":0,"oldTree":"_51b1e57e79f4bddf","newTree":"_d99f5fb6d41c0c26","triggerType":"tap","settings":{"delay":250,"side":"inside","useFollowUpAction":false},"actor":"*(x+y):1"}},"_2dd20a894033497c_0":{"id":"_2dd20a894033497c_0","type":"AlgebraModelLink","source":"_54215b801022fa88","target":"_5271190f52313b25","action":{"id":"_2dd20a894033497c","name":"CloneAction","type":"Action","priority":0,"oldTree":"_54215b801022fa88","newTree":"_5271190f52313b25","triggerType":"drag","settings":{}}},"_5458d88195a612bb_0":{"id":"_5458d88195a612bb_0","type":"AlgebraModelLink","source":"_5271190f52313b25","target":"_24dbbf68bcf9e623","action":{"id":"_5458d88195a612bb","name":"MultiplyPowersAction","type":"Action","priority":0,"oldTree":"_5271190f52313b25","newTree":"_24dbbf68bcf9e623","triggerType":"tap","settings":{"delay":250,"side":"inside","useFollowUpAction":false},"actor":"x^3"}},"_d2232996f9bf8d37_0":{"id":"_d2232996f9bf8d37_0","type":"AlgebraModelLink","source":"_24dbbf68bcf9e623","target":"_49f761304cfea610","action":{"id":"_d2232996f9bf8d37","name":"AddSubNumbersAction","type":"Action","priority":6,"oldTree":"_24dbbf68bcf9e623","newTree":"_49f761304cfea610","triggerType":"drag","settings":{"is_join_action":true,"delay":300,"side":"inside"},"nodes":"+3","target":"+2"}},"_26322fc62bf60a87_0":{"id":"_26322fc62bf60a87_0","type":"AlgebraModelLink","source":"_7d4af4d8dd3dea5d","target":"_f5838399cd0790d6","action":{"id":"_26322fc62bf60a87","name":"CloneAction","type":"Action","priority":0,"oldTree":"_7d4af4d8dd3dea5d","newTree":"_f5838399cd0790d6","triggerType":"drag","settings":{}}},"_f1f79eb5c6410822_0":{"id":"_f1f79eb5c6410822_0","type":"AlgebraModelLink","source":"_f5838399cd0790d6","target":"_049ea2a40a8ae478","action":{"id":"_f1f79eb5c6410822","name":"MultiplyNumbersAction","type":"Action","priority":1,"oldTree":"_f5838399cd0790d6","newTree":"_049ea2a40a8ae478","triggerType":"drag","settings":{"is_join_action":true,"delay":250,"side":"inside"},"nodes":"*2","target":"*3"}},"_429afe5589951c6c_0":{"id":"_429afe5589951c6c_0","type":"AlgebraModelLink","source":"_383c15d33f95c4b5","target":"_be7e0ec772a6852f","action":{"id":"_429afe5589951c6c","name":"CloneAction","type":"Action","priority":0,"oldTree":"_383c15d33f95c4b5","newTree":"_be7e0ec772a6852f","triggerType":"drag","settings":{}}},"_ec3b1849e2021a57_0":{"id":"_ec3b1849e2021a57_0","type":"AlgebraModelLink","source":"_a63dcbb39fd446c8","target":"_14e5649b09b72239","action":{"id":"_ec3b1849e2021a57","name":"CloneAction","type":"Action","priority":0,"oldTree":"_a63dcbb39fd446c8","newTree":"_14e5649b09b72239","triggerType":"drag","settings":{}}},"_48dfcfddcbd1d20f_0":{"id":"_48dfcfddcbd1d20f_0","type":"AlgebraModelLink","source":"_14e5649b09b72239","target":"_0ce9a5ad35061813","action":{"id":"_48dfcfddcbd1d20f","name":"PolynomialExpansionAction","type":"Action","priority":0,"oldTree":"_14e5649b09b72239","newTree":"_0ce9a5ad35061813","triggerType":"dbltap","settings":{},"actor":"^2"}},"_950272c424fb6003_0":{"id":"_950272c424fb6003_0","type":"AlgebraModelLink","source":"_be7e0ec772a6852f","target":"_2fe1350aa1d1e56e","action":{"id":"_950272c424fb6003","name":"FactorPowerAction","type":"Action","priority":0,"oldTree":"_be7e0ec772a6852f","newTree":"_2fe1350aa1d1e56e","triggerType":"drag","settings":{"side":"outside","reset_y":true,"is_join_action":false},"nodes":"^2;^2:1","target":"(y^2*x^2)/z^2"}},"_b5bce1af25743a44_0":{"id":"_b5bce1af25743a44_0","type":"AlgebraModelLink","source":"_4f723a6b9eddfd2f","target":"_c0f1fd9e34f245f1","action":{"id":"_b5bce1af25743a44","name":"CloneAction","type":"Action","priority":0,"oldTree":"_4f723a6b9eddfd2f","newTree":"_c0f1fd9e34f245f1","triggerType":"drag","settings":{}}},"_216b0982ff3854f9_0":{"id":"_216b0982ff3854f9_0","type":"AlgebraModelLink","source":"_c0f1fd9e34f245f1","target":"_03c0f2cacd76bf43","action":{"id":"_216b0982ff3854f9","name":"FactorPowerAction","type":"Action","priority":0,"oldTree":"_c0f1fd9e34f245f1","newTree":"_03c0f2cacd76bf43","triggerType":"drag","settings":{"side":"outside","reset_y":true,"is_join_action":false},"nodes":"^2;^2:1","target":"(x^2*y^2)/(a*z^2)"}},"_d5dfe9250e821da4_0":{"id":"_d5dfe9250e821da4_0","type":"AlgebraModelLink","source":"_e706ca8d05d12d35","target":"_833d18796e2668c4","action":{"id":"_d5dfe9250e821da4","name":"CloneAction","type":"Action","priority":0,"oldTree":"_e706ca8d05d12d35","newTree":"_833d18796e2668c4","triggerType":"drag","settings":{}}}},"ggbLinks":{}},"paths":{},"objects":{"_9f17b4b3b305fffe":{"id":"_9f17b4b3b305fffe","type":"TextBox","pos":{"x":3,"y":2},"size":{"width":429},"uneditable":false,"closable":false,"font_size":18,"text":"Go to Insert &gt; Text to add your name.&nbsp;"},"_6999b9b749d6baf3":{"id":"_6999b9b749d6baf3","type":"TextBox","pos":{"x":1,"y":56},"size":{"width":581},"uneditable":false,"closable":false,"font_size":20,"text":"Click <b>once</b> on an operator to <u>combine two numbers</u>."},"_f3735fd21364c00d":{"type":"Derivation","id":"_f3735fd21364c00d","rows":[{"id":"_63ccc3aae1ab9493","type":"DerivationRow","dl":"_f3735fd21364c00d","action":null,"model":{"id":"_63ccc3aae1ab9493","type":"AlgebraModel","settings":{},"ascii":"3+4"},"row_idx":0,"hidden":true},{"id":"_1c058c4b6764fb25","type":"DerivationRow","dl":"_f3735fd21364c00d","action":"_07c54dd9b27c0ffb","model":{"id":"_1c058c4b6764fb25","type":"AlgebraModel","settings":{"locked":true},"ascii":"7"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":36,"y":106}},"_67059ac03e9c785b":{"type":"Derivation","id":"_67059ac03e9c785b","rows":[{"id":"_c8677524761a14b6","type":"DerivationRow","dl":"_67059ac03e9c785b","action":null,"model":{"id":"_c8677524761a14b6","type":"AlgebraModel","settings":{},"ascii":"2-3"},"row_idx":0,"hidden":true},{"id":"_e56c64ceabad4e57","type":"DerivationRow","dl":"_67059ac03e9c785b","action":"_fc9041ee0b1b8efd","model":{"id":"_e56c64ceabad4e57","type":"AlgebraModel","settings":{"locked":true},"ascii":"-1"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":210,"y":104}},"_50841c947c57326a":{"type":"Derivation","id":"_50841c947c57326a","rows":[{"id":"_bb273537bd8cb330","type":"DerivationRow","dl":"_50841c947c57326a","action":null,"model":{"id":"_bb273537bd8cb330","type":"AlgebraModel","settings":{},"ascii":"4/2"},"row_idx":0,"hidden":true},{"id":"_cc64019115ae6cbe","type":"DerivationRow","dl":"_50841c947c57326a","action":"_947509581a383ddd","model":{"id":"_cc64019115ae6cbe","type":"AlgebraModel","settings":{"locked":true},"ascii":"2"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":502,"y":108}},"_32eeb50b46a031e9":{"id":"_32eeb50b46a031e9","type":"TextBox","pos":{"x":0,"y":155},"size":{"width":780},"uneditable":false,"closable":false,"font_size":20,"text":"Drag and <b>smoosh</b> several numbers into each other to <u>quick add or multiply them</u>."},"_81ba1a02cdf18cbc":{"type":"Derivation","id":"_81ba1a02cdf18cbc","rows":[{"id":"_0bd38085be361220","type":"DerivationRow","dl":"_81ba1a02cdf18cbc","action":null,"model":{"id":"_0bd38085be361220","type":"AlgebraModel","settings":{},"ascii":"8+4+3"},"row_idx":0,"hidden":true},{"id":"_814d3173b7b9a4f6","type":"DerivationRow","dl":"_81ba1a02cdf18cbc","action":"_06a5f0f67621c4f6","model":{"id":"_814d3173b7b9a4f6","type":"AlgebraModel","settings":{"locked":true},"ascii":"8+7"},"row_idx":1,"hidden":true},{"id":"_53528f2c2f9b1671","type":"DerivationRow","dl":"_81ba1a02cdf18cbc","action":"_1ba5aae94c19a279","model":{"id":"_53528f2c2f9b1671","type":"AlgebraModel","settings":{"locked":true},"ascii":"7+8"},"row_idx":2,"hidden":true},{"id":"_8bf6f0edad8dd627","type":"DerivationRow","dl":"_81ba1a02cdf18cbc","action":"_59fb8422baec4838","model":{"id":"_8bf6f0edad8dd627","type":"AlgebraModel","settings":{"locked":true},"ascii":"15"},"row_idx":3,"hidden":false}],"settings":{},"pos":{"x":55,"y":214}},"_6833779cca658276":{"type":"Derivation","id":"_6833779cca658276","rows":[{"id":"_80fd38b87c97f285","type":"DerivationRow","dl":"_6833779cca658276","action":null,"model":{"id":"_80fd38b87c97f285","type":"AlgebraModel","settings":{},"ascii":"9*5*2*5"},"row_idx":0,"hidden":true},{"id":"_c1b1ee1e252e7c21","type":"DerivationRow","dl":"_6833779cca658276","action":"_0f4867b241d5d35f","model":{"id":"_c1b1ee1e252e7c21","type":"AlgebraModel","settings":{"locked":true},"ascii":"9*5*10"},"row_idx":1,"hidden":true},{"id":"_f067e6a8b6920a1a","type":"DerivationRow","dl":"_6833779cca658276","action":"_fe00be84a824214d","model":{"id":"_f067e6a8b6920a1a","type":"AlgebraModel","settings":{"locked":true},"ascii":"9*50"},"row_idx":2,"hidden":true},{"id":"_ad71e26e58ba9a33","type":"DerivationRow","dl":"_6833779cca658276","action":"_c9308cc339de2838","model":{"id":"_ad71e26e58ba9a33","type":"AlgebraModel","settings":{"locked":true},"ascii":"450"},"row_idx":3,"hidden":false}],"settings":{},"pos":{"x":346,"y":203}},"_69dd10c2854219cf":{"id":"_69dd10c2854219cf","type":"TextBox","pos":{"x":0,"y":261},"size":{"width":773},"uneditable":false,"closable":false,"font_size":20,"text":"You can <u>combine like terms</u> both by clicking or <b>smooshing</b>."},"_1af19c62d74e4e4f":{"type":"Derivation","id":"_1af19c62d74e4e4f","rows":[{"id":"_4bc13b49c107bf45","type":"DerivationRow","dl":"_1af19c62d74e4e4f","action":null,"model":{"id":"_4bc13b49c107bf45","type":"AlgebraModel","settings":{},"ascii":"2*x+4*x"},"row_idx":0,"hidden":true},{"id":"_83a03c53463f1dfc","type":"DerivationRow","dl":"_1af19c62d74e4e4f","action":"_1cf4d1826bc45a74","model":{"id":"_83a03c53463f1dfc","type":"AlgebraModel","settings":{"locked":true},"ascii":"6*x"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":50,"y":307}},"_a3ae218c26aa1218":{"type":"Derivation","id":"_a3ae218c26aa1218","rows":[{"id":"_ac95e27ae09eab44","type":"DerivationRow","dl":"_a3ae218c26aa1218","action":null,"model":{"id":"_ac95e27ae09eab44","type":"AlgebraModel","settings":{},"ascii":"3*x*y+5*x*y"},"row_idx":0,"hidden":true},{"id":"_8075b98970aba847","type":"DerivationRow","dl":"_a3ae218c26aa1218","action":"_59e3f6d77af44231","model":{"id":"_8075b98970aba847","type":"AlgebraModel","settings":{"locked":true},"ascii":"8*x*y"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":378,"y":304}},"_3784f9d945b8b3be":{"id":"_3784f9d945b8b3be","type":"TextBox","pos":{"x":5,"y":355},"size":{"width":693},"uneditable":false,"closable":false,"font_size":20,"text":"Move identical nodes on top of each other <u>to factor</u>."},"_5dbd8806ad840811":{"type":"Derivation","id":"_5dbd8806ad840811","rows":[{"id":"_8cc0c24492ec4b22","type":"DerivationRow","dl":"_5dbd8806ad840811","action":null,"model":{"id":"_8cc0c24492ec4b22","type":"AlgebraModel","settings":{},"ascii":"2*x+3*x"},"row_idx":0,"hidden":true},{"id":"_b8779d471842497f","type":"DerivationRow","dl":"_5dbd8806ad840811","action":"_2327adf48db4510c","model":{"id":"_b8779d471842497f","type":"AlgebraModel","settings":{"locked":true},"ascii":"x*(2+3)"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":6,"y":394}},"_38cd89e1baf569c8":{"type":"Derivation","id":"_38cd89e1baf569c8","rows":[{"id":"_c74998b8521bd53c","type":"DerivationRow","dl":"_38cd89e1baf569c8","action":null,"model":{"id":"_c74998b8521bd53c","type":"AlgebraModel","settings":{},"ascii":"5*x-5*y"},"row_idx":0,"hidden":true},{"id":"_39ade8a57e0a77bf","type":"DerivationRow","dl":"_38cd89e1baf569c8","action":"_49e035cc2c594b0e","model":{"id":"_39ade8a57e0a77bf","type":"AlgebraModel","settings":{"locked":true},"ascii":"5*(x-y)"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":269,"y":386}},"_41cb38bd5d5ec2e5":{"id":"_41cb38bd5d5ec2e5","type":"TextBox","pos":{"x":9,"y":452},"size":{"width":681},"uneditable":false,"closable":false,"font_size":20,"text":"Move the x into the sum <u>to distribute</u>."},"_e1affb918e79d71c":{"type":"Derivation","id":"_e1affb918e79d71c","rows":[{"id":"_82d0fba717885732","type":"DerivationRow","dl":"_e1affb918e79d71c","action":null,"model":{"id":"_82d0fba717885732","type":"AlgebraModel","settings":{},"ascii":"x*(2+3)"},"row_idx":0,"hidden":true},{"id":"_5374704bcb9b7214","type":"DerivationRow","dl":"_e1affb918e79d71c","action":"_9ffe1cd579063e34","model":{"id":"_5374704bcb9b7214","type":"AlgebraModel","settings":{"locked":true},"ascii":"(2*x+3*x)"},"row_idx":1,"hidden":true},{"id":"_788883e2b123a3bc","type":"DerivationRow","dl":"_e1affb918e79d71c","action":"_6b1c6b10de748dae","model":{"id":"_788883e2b123a3bc","type":"AlgebraModel","settings":{"locked":true},"ascii":"2*x+3*x"},"row_idx":2,"hidden":false}],"settings":{},"pos":{"x":36,"y":506}},"_50d7ecd7dd795db0":{"type":"Derivation","id":"_50d7ecd7dd795db0","rows":[{"id":"_823095df755951fd","type":"DerivationRow","dl":"_50d7ecd7dd795db0","action":null,"model":{"id":"_823095df755951fd","type":"AlgebraModel","settings":{},"ascii":"2*(x+y)"},"row_idx":0,"hidden":true},{"id":"_aff4a452ee500630","type":"DerivationRow","dl":"_50d7ecd7dd795db0","action":"_346dbdcedf173358","model":{"id":"_aff4a452ee500630","type":"AlgebraModel","settings":{"locked":true},"ascii":"(2*x+2*y)"},"row_idx":1,"hidden":true},{"id":"_200ab705ad2ce76b","type":"DerivationRow","dl":"_50d7ecd7dd795db0","action":"_692fa6665647587b","model":{"id":"_200ab705ad2ce76b","type":"AlgebraModel","settings":{"locked":true},"ascii":"2*x+2*y"},"row_idx":2,"hidden":false}],"settings":{},"pos":{"x":266,"y":510}},"_213e8346da10fd62":{"id":"_213e8346da10fd62","type":"TextBox","pos":{"x":6,"y":554},"size":{"width":969},"uneditable":false,"closable":false,"font_size":20,"text":"<u>Shake a term</u> to replace it with an expression you enter. (Shake 9 and replace with 3*3, show keyboard)"},"_aa34ed6e8e6d218b":{"type":"Derivation","id":"_aa34ed6e8e6d218b","rows":[{"id":"_cd4e82db54f9e3a5","type":"DerivationRow","dl":"_aa34ed6e8e6d218b","action":null,"model":{"id":"_cd4e82db54f9e3a5","type":"AlgebraModel","settings":{},"ascii":"(9*x)/3"},"row_idx":0,"hidden":true},{"id":"_e59d907587c06ca0","type":"DerivationRow","dl":"_aa34ed6e8e6d218b","action":"_c516396b2c2430b1","model":{"id":"_e59d907587c06ca0","type":"AlgebraModel","settings":{"locked":true},"ascii":"(3*3*x)/3"},"row_idx":1,"hidden":true},{"id":"_ca9a1f14db4c7007","type":"DerivationRow","dl":"_aa34ed6e8e6d218b","action":"_0c20a28c7e0a88ef","model":{"id":"_ca9a1f14db4c7007","type":"AlgebraModel","settings":{"locked":true},"ascii":"3*x"},"row_idx":2,"hidden":false}],"settings":{},"pos":{"x":50,"y":604}},"_494c9636d465b8a6":{"type":"Derivation","id":"_494c9636d465b8a6","rows":[{"id":"_28ee32b9f7ad7531","type":"DerivationRow","dl":"_494c9636d465b8a6","action":null,"model":{"id":"_28ee32b9f7ad7531","type":"AlgebraModel","settings":{},"ascii":"(12*x)/4"},"row_idx":0,"hidden":true},{"id":"_b2b16102be079e57","type":"DerivationRow","dl":"_494c9636d465b8a6","action":"_722427ea1d479a91","model":{"id":"_b2b16102be079e57","type":"AlgebraModel","settings":{"locked":true},"ascii":"(4*3*x)/4"},"row_idx":1,"hidden":true},{"id":"_6236ed7917d63f25","type":"DerivationRow","dl":"_494c9636d465b8a6","action":"_d6d33a33fc1be955","model":{"id":"_6236ed7917d63f25","type":"AlgebraModel","settings":{"locked":true},"ascii":"3*x"},"row_idx":2,"hidden":false}],"settings":{},"pos":{"x":260,"y":599}},"_42fa2b08156c2e99":{"id":"_42fa2b08156c2e99","type":"TextBox","pos":{"x":8,"y":661},"size":{"width":595},"uneditable":false,"closable":false,"font_size":20,"text":"Solve equations by moving terms across the equal sign."},"_be65ef25e0a8db5c":{"type":"Derivation","id":"_be65ef25e0a8db5c","rows":[{"id":"_1f524a56ee27fda0","type":"DerivationRow","dl":"_be65ef25e0a8db5c","action":null,"model":{"id":"_1f524a56ee27fda0","type":"AlgebraModel","settings":{},"ascii":"x+5=7"},"row_idx":0,"hidden":true},{"id":"_78f234e8b5878926","type":"DerivationRow","dl":"_be65ef25e0a8db5c","action":"_4f90a74a581cf669","model":{"id":"_78f234e8b5878926","type":"AlgebraModel","settings":{"locked":true},"ascii":"x=7-5"},"row_idx":1,"hidden":true},{"id":"_09034681444dcca3","type":"DerivationRow","dl":"_be65ef25e0a8db5c","action":"_a08aa08097125528","model":{"id":"_09034681444dcca3","type":"AlgebraModel","settings":{"locked":true},"ascii":"x=2"},"row_idx":2,"hidden":false}],"settings":{},"pos":{"x":63,"y":701}},"_e62218b3ad010cfb":{"type":"Derivation","id":"_e62218b3ad010cfb","rows":[{"id":"_501c84980c5916d5","type":"DerivationRow","dl":"_e62218b3ad010cfb","action":null,"model":{"id":"_501c84980c5916d5","type":"AlgebraModel","settings":{},"ascii":"x/9=5"},"row_idx":0,"hidden":true},{"id":"_9386445aa6ba57df","type":"DerivationRow","dl":"_e62218b3ad010cfb","model":{"id":"_9386445aa6ba57df","type":"AlgebraModel","settings":{},"ascii":"x=5*9"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":302,"y":705}},"_43d86fe694c7fe41":{"id":"_43d86fe694c7fe41","type":"TextBox","pos":{"x":13,"y":762},"size":{"width":807},"uneditable":false,"closable":false,"font_size":20,"text":"Another way to work with equations is to <u>apply the same operation to both sides</u> by tapping and holding the equal sign. (Great when teaching property of equality.)"},"_e975c3599fd98a14":{"type":"Derivation","id":"_e975c3599fd98a14","rows":[{"id":"_76870db39458af51","type":"DerivationRow","dl":"_e975c3599fd98a14","action":null,"model":{"id":"_76870db39458af51","type":"AlgebraModel","settings":{},"ascii":"x+2=4"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":26,"y":842}},"_d98c23d522523f9d":{"type":"Derivation","id":"_d98c23d522523f9d","rows":[{"id":"_642fe4e4e58a0e29","type":"DerivationRow","dl":"_d98c23d522523f9d","action":null,"model":{"id":"_642fe4e4e58a0e29","type":"AlgebraModel","settings":{},"ascii":"2*x=4"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":304,"y":846}},"_8dd3557986509b9a":{"id":"_8dd3557986509b9a","type":"TextBox","pos":{"x":7,"y":911},"size":{"width":610},"uneditable":false,"closable":false,"font_size":20,"text":"Show the <u>reflexive property</u> by clicking the equal sign."},"_079c70ce77e6eaea":{"type":"Derivation","id":"_079c70ce77e6eaea","rows":[{"id":"_949c6469937fcb5d","type":"DerivationRow","dl":"_079c70ce77e6eaea","action":null,"model":{"id":"_949c6469937fcb5d","type":"AlgebraModel","settings":{},"ascii":"a=b"},"row_idx":0,"hidden":true},{"id":"_f2d39d34f6d50c1f","type":"DerivationRow","dl":"_079c70ce77e6eaea","action":"_b0305abf835c7bb9","model":{"id":"_f2d39d34f6d50c1f","type":"AlgebraModel","settings":{"locked":true},"ascii":"b=a"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":31,"y":969}},"_081e77d19bc26a03":{"type":"Derivation","id":"_081e77d19bc26a03","rows":[{"id":"_b0ec7f30e09479af","type":"DerivationRow","dl":"_081e77d19bc26a03","action":null,"model":{"id":"_b0ec7f30e09479af","type":"AlgebraModel","settings":{},"ascii":"\"goodbye\"=\"hello\""},"row_idx":0,"hidden":true},{"id":"_a982c4b144e986b6","type":"DerivationRow","dl":"_081e77d19bc26a03","action":"_f27ad3c13e3014c0","model":{"id":"_a982c4b144e986b6","type":"AlgebraModel","settings":{"locked":true},"ascii":"\"hello\"=\"goodbye\""},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":328,"y":966}},"_93f3c66f46bbbca2":{"id":"_93f3c66f46bbbca2","type":"TextBox","pos":{"x":12,"y":1022},"size":{"width":580},"uneditable":false,"closable":false,"font_size":20,"text":"<u>Move the entire fraction</u> by dragging the fraction bar."},"_578801b7bad3ac10":{"type":"Derivation","id":"_578801b7bad3ac10","rows":[{"id":"_d1a175a33a52342b","type":"DerivationRow","dl":"_578801b7bad3ac10","action":null,"model":{"id":"_d1a175a33a52342b","type":"AlgebraModel","settings":{},"ascii":"1/2+1/3"},"row_idx":0,"hidden":true},{"id":"_076128b0c6493cb3","type":"DerivationRow","dl":"_578801b7bad3ac10","action":"_21ee19de4f42e095","model":{"id":"_076128b0c6493cb3","type":"AlgebraModel","settings":{"locked":true},"ascii":"1/2+2/(3*2)"},"row_idx":1,"hidden":true},{"id":"_b220e40f39e937db","type":"DerivationRow","dl":"_578801b7bad3ac10","action":"_ed2dda722d80314d","model":{"id":"_b220e40f39e937db","type":"AlgebraModel","settings":{"locked":true},"ascii":"3/(3*2)+2/(3*2)"},"row_idx":2,"hidden":true},{"id":"_5c65221c333b9bf7","type":"DerivationRow","dl":"_578801b7bad3ac10","action":"_9d68ab1951efa0c0","model":{"id":"_5c65221c333b9bf7","type":"AlgebraModel","settings":{"locked":true},"ascii":"3/6+2/(3*2)"},"row_idx":3,"hidden":true},{"id":"_cf8a7d6385899260","type":"DerivationRow","dl":"_578801b7bad3ac10","action":"_74ccc96334f81420","model":{"id":"_cf8a7d6385899260","type":"AlgebraModel","settings":{"locked":true},"ascii":"(3*3*2)/(6*3*2)+(6*2)/(6*3*2)"},"row_idx":4,"hidden":false}],"settings":{},"pos":{"x":0,"y":1075}},"_abfc50d84e33392a":{"type":"Derivation","id":"_abfc50d84e33392a","rows":[{"id":"_4ce4fe7daac7d99b","type":"DerivationRow","dl":"_abfc50d84e33392a","action":null,"model":{"id":"_4ce4fe7daac7d99b","type":"AlgebraModel","settings":{},"ascii":"a/b*x/y"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":303,"y":1063}},"_04c98e589367db63":{"id":"_04c98e589367db63","type":"TextBox","pos":{"x":0,"y":1159},"size":{"width":624},"uneditable":false,"closable":false,"font_size":20,"text":"<u>Move bracketed expressions</u> by dragging one of the brackets."},"_22fcabd399c2873b":{"type":"Derivation","id":"_22fcabd399c2873b","rows":[{"id":"_c7f81eb1158d195f","type":"DerivationRow","dl":"_22fcabd399c2873b","action":null,"model":{"id":"_c7f81eb1158d195f","type":"AlgebraModel","settings":{},"ascii":"a*(b+1)=c"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":25,"y":1230}},"_8b7f63759a179d37":{"type":"Derivation","id":"_8b7f63759a179d37","rows":[{"id":"_7ef025996a4e38fb","type":"DerivationRow","dl":"_8b7f63759a179d37","action":null,"model":{"id":"_7ef025996a4e38fb","type":"AlgebraModel","settings":{},"ascii":"3*x=2*x+1"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":39,"y":1371}},"_d4df910c430232d6":{"id":"_d4df910c430232d6","type":"TextBox","pos":{"x":0,"y":1289},"size":{"width":608},"uneditable":false,"closable":false,"font_size":20,"text":"<u>Pick up additional terms</u> by using the <b>Shift key </b>and selecting.&nbsp; (Move 2x to the other side,&nbsp; factor out ab.)"},"_b0e48d34551df814":{"id":"_b0e48d34551df814","type":"TextBox","pos":{"x":0,"y":1433},"size":{"width":692},"uneditable":false,"closable":false,"font_size":20,"text":"Add or multiply fractions by smooshing them or clicking on the operator."},"_c77908a8a9c17262":{"type":"Derivation","id":"_c77908a8a9c17262","rows":[{"id":"_eff0e177aa554050","type":"DerivationRow","dl":"_c77908a8a9c17262","action":null,"model":{"id":"_eff0e177aa554050","type":"AlgebraModel","settings":{},"ascii":"2*a*b+3*a*b"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":324,"y":1362}},"_59cc3cb6a2be24e6":{"type":"Derivation","id":"_59cc3cb6a2be24e6","rows":[{"id":"_901dec5d8b983b5d","type":"DerivationRow","dl":"_59cc3cb6a2be24e6","action":null,"model":{"id":"_901dec5d8b983b5d","type":"AlgebraModel","settings":{},"ascii":"2/3+4/3"},"row_idx":0,"hidden":true},{"id":"_3be03dc282c2eff0","type":"DerivationRow","dl":"_59cc3cb6a2be24e6","action":"_eba63d21bb698c02","model":{"id":"_3be03dc282c2eff0","type":"AlgebraModel","settings":{"locked":true},"ascii":"6/3"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":88,"y":1478}},"_96b71132c54cead9":{"type":"Derivation","id":"_96b71132c54cead9","rows":[{"id":"_dcd5f137d48c0c71","type":"DerivationRow","dl":"_96b71132c54cead9","action":null,"model":{"id":"_dcd5f137d48c0c71","type":"AlgebraModel","settings":{},"ascii":"2/(3*y*z)+4/(3*y*z)"},"row_idx":0,"hidden":true},{"id":"_6ffc037d71c33a28","type":"DerivationRow","dl":"_96b71132c54cead9","action":"_0710c66d09f2cfc3","model":{"id":"_6ffc037d71c33a28","type":"AlgebraModel","settings":{"locked":true},"ascii":"6/(3*y*z)"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":362,"y":1480}},"_3d7ac97ee9c140d2":{"id":"_3d7ac97ee9c140d2","type":"TextBox","pos":{"x":12,"y":1566},"size":{"width":722},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px; background-color: rgb(255, 255, 255);\">When <u>adding fractions with different denominators</u>, move and hold a denominator term onto another fraction to expand it. Double-tap the plus-sign as a shortcut.</span>"},"_60b312f610b90646":{"type":"Derivation","id":"_60b312f610b90646","rows":[{"id":"_d004fe8e03b49d57","type":"DerivationRow","dl":"_60b312f610b90646","action":null,"model":{"id":"_d004fe8e03b49d57","type":"AlgebraModel","settings":{},"ascii":"1/2+1/3"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":34,"y":1649}},"_5fe1dc583b03394c":{"type":"Derivation","id":"_5fe1dc583b03394c","rows":[{"id":"_0c2efb06bdbe79e5","type":"DerivationRow","dl":"_5fe1dc583b03394c","action":null,"model":{"id":"_0c2efb06bdbe79e5","type":"AlgebraModel","settings":{},"ascii":"1+2/3"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":314,"y":1644}},"_85d7f34dd24bd5cf":{"id":"_85d7f34dd24bd5cf","type":"TextBox","pos":{"x":11,"y":1723},"size":{"width":736},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px; background-color: rgb(255, 255, 255);\">To <u>expand a fraction with any expression</u>, tap and hold on the fraction bar and <b>enter the expression. </b>(Try entering x to see what happens.&nbsp; Next try entering 3 or 7.)</span>"},"_54d8fa57970db5e1":{"type":"Derivation","id":"_54d8fa57970db5e1","rows":[{"id":"_f80eb8c49e0cf34e","type":"DerivationRow","dl":"_54d8fa57970db5e1","action":null,"model":{"id":"_f80eb8c49e0cf34e","type":"AlgebraModel","settings":{},"ascii":"2/5"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":164,"y":1809}},"_eafa3d83618ee9e0":{"type":"Derivation","id":"_eafa3d83618ee9e0","rows":[{"id":"_30bd9ed7adc6d780","type":"DerivationRow","dl":"_eafa3d83618ee9e0","action":null,"model":{"id":"_30bd9ed7adc6d780","type":"AlgebraModel","settings":{},"ascii":"2/3+4/7"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":314,"y":1805}},"_f44d6f2498429ad5":{"id":"_f44d6f2498429ad5","type":"TextBox","pos":{"x":5,"y":1906},"size":{"width":733},"uneditable":false,"closable":false,"font_size":18,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px;\">To <u>cancel a fraction</u>, move terms on top of each other. Keep dragging until the fraction is simplified.</span>"},"_7cbff12bd160f68f":{"type":"Derivation","id":"_7cbff12bd160f68f","rows":[{"id":"_6a25b277a46258b1","type":"DerivationRow","dl":"_7cbff12bd160f68f","action":null,"model":{"id":"_6a25b277a46258b1","type":"AlgebraModel","settings":{},"ascii":"6/4"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":190,"y":2004}},"_8af323e5c8b88dfc":{"type":"Derivation","id":"_8af323e5c8b88dfc","rows":[{"id":"_ca6f49eb5752216e","type":"DerivationRow","dl":"_8af323e5c8b88dfc","action":null,"model":{"id":"_ca6f49eb5752216e","type":"AlgebraModel","settings":{},"ascii":"{(2*2)}/(2*x)"},"row_idx":0,"hidden":true},{"id":"_acffa5742f0de104","type":"DerivationRow","dl":"_8af323e5c8b88dfc","action":"_d8fb2583960dda74","model":{"id":"_acffa5742f0de104","type":"AlgebraModel","settings":{"locked":true},"ascii":"(2*2)/(2*x)"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":377,"y":2005}},"_16b3b9b2c42479f1":{"id":"_16b3b9b2c42479f1","type":"TextBox","pos":{"x":0,"y":2096},"size":{"width":737},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px;\">You can also use a factor next to a fraction to cancel. (Drag the whole #2 down.)</span>"},"_7e29ca247bc75d2a":{"type":"Derivation","id":"_7e29ca247bc75d2a","rows":[{"id":"_0a444e056160a795","type":"DerivationRow","dl":"_7e29ca247bc75d2a","action":null,"model":{"id":"_0a444e056160a795","type":"AlgebraModel","settings":{},"ascii":"2*1/(2*x)"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":220,"y":2170}},"_0ab761fb7fea6e0b":{"id":"_0ab761fb7fea6e0b","type":"TextBox","pos":{"x":0,"y":2260},"size":{"width":744},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px;\">Click on the fraction bar or bottom number to divide. If the result is not an integer, you need to double-click.</span>"},"_0f5af4157b9b7d09":{"type":"Derivation","id":"_0f5af4157b9b7d09","rows":[{"id":"_813392a55a82e025","type":"DerivationRow","dl":"_0f5af4157b9b7d09","action":null,"model":{"id":"_813392a55a82e025","type":"AlgebraModel","settings":{},"ascii":"3/2"},"row_idx":0,"hidden":true},{"id":"_a6d606c5cf329dfa","type":"DerivationRow","dl":"_0f5af4157b9b7d09","action":"_8f7cf762bd354e15","model":{"id":"_a6d606c5cf329dfa","type":"AlgebraModel","settings":{"locked":true},"ascii":"1.5"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":230,"y":2386}},"_d2c6ee30ce179545":{"id":"_d2c6ee30ce179545","type":"TextBox","pos":{"x":0,"y":2482},"size":{"width":745},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px;\">If there is a sum in the top of a fraction, you can <u>split the fraction</u> by dragging a term out. (Drag out, and slightly down, the +2 to see what happens.)</span>"},"_e3a67bf6071a118a":{"type":"Derivation","id":"_e3a67bf6071a118a","rows":[{"id":"_b9376e8033ccf54c","type":"DerivationRow","dl":"_e3a67bf6071a118a","action":null,"model":{"id":"_b9376e8033ccf54c","type":"AlgebraModel","settings":{},"ascii":"(3+2)/4"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":82,"y":2594}},"_89471a464928ce1e":{"type":"Derivation","id":"_89471a464928ce1e","rows":[{"id":"_d21285c47631efc5","type":"DerivationRow","dl":"_89471a464928ce1e","action":null,"model":{"id":"_d21285c47631efc5","type":"AlgebraModel","settings":{},"ascii":"(3*x+2)/7"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":305,"y":2593}},"_7bf5a3a969fa81e6":{"id":"_7bf5a3a969fa81e6","type":"TextBox","pos":{"x":0,"y":2684},"size":{"width":741},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px;\">You can <u>move terms across the fraction bar</u> by dragging and holding them.&nbsp; <br>(Drag c above or below the fraction bar to see what happens.)</span>"},"_2c436ff18b4236d5":{"type":"Derivation","id":"_2c436ff18b4236d5","rows":[{"id":"_f1848108a5366806","type":"DerivationRow","dl":"_2c436ff18b4236d5","action":null,"model":{"id":"_f1848108a5366806","type":"AlgebraModel","settings":{},"ascii":"(a^2*c^(-3))/b"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":90,"y":2793}},"_a2c1c8bf3db97d26":{"type":"Derivation","id":"_a2c1c8bf3db97d26","rows":[{"id":"_2c2334f075ea1c4d","type":"DerivationRow","dl":"_a2c1c8bf3db97d26","action":null,"model":{"id":"_2c2334f075ea1c4d","type":"AlgebraModel","settings":{},"ascii":"1/c^(-1)"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":356,"y":2795}},"_d9b933b1ed97b0f7":{"id":"_d9b933b1ed97b0f7","type":"TextBox","pos":{"x":0,"y":2884},"size":{"width":733},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px; background-color: rgb(255, 255, 255);\">Use the same gesture to <u>move a term into the denominator</u> of a new fraction. Drag the term down, hold, then release it. (Drag x downward.)</span>"},"_86cac960997be28b":{"type":"Derivation","id":"_86cac960997be28b","rows":[{"id":"_d621c4944c85d0e7","type":"DerivationRow","dl":"_86cac960997be28b","action":null,"model":{"id":"_d621c4944c85d0e7","type":"AlgebraModel","settings":{},"ascii":"x^(-2)"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":124,"y":2987}},"_84ba6942aa214195":{"type":"Derivation","id":"_84ba6942aa214195","rows":[{"id":"_a27217024571c752","type":"DerivationRow","dl":"_84ba6942aa214195","action":null,"model":{"id":"_a27217024571c752","type":"AlgebraModel","settings":{},"ascii":"4*x+y+3+5*x+9+y"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":6,"y":3140}},"_2fe422c6ff91acc4":{"id":"_2fe422c6ff91acc4","type":"TextBox","pos":{"x":0,"y":3057},"size":{"width":735},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px;\"><u>Combine all the like terms</u> of this expression.</span>"},"_ae57703aec47a82d":{"id":"_ae57703aec47a82d","type":"TextBox","pos":{"x":0,"y":3217},"size":{"width":439},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px;\"><u>Solve</u> this equation for the variable x.</span>"},"_3577e68c2b6d25aa":{"type":"Derivation","id":"_3577e68c2b6d25aa","rows":[{"id":"_5536552073668b36","type":"DerivationRow","dl":"_3577e68c2b6d25aa","action":null,"model":{"id":"_5536552073668b36","type":"AlgebraModel","settings":{},"ascii":"5*3+x+4+1=9"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":75,"y":3303}},"_9236579aa4a24aec":{"id":"_9236579aa4a24aec","type":"TextBox","pos":{"x":0,"y":3404},"size":{"width":300},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px;\"><u>Simplify</u> this fraction.</span>"},"_520e3904fecbbab7":{"type":"Derivation","id":"_520e3904fecbbab7","rows":[{"id":"_163b1501e763447f","type":"DerivationRow","dl":"_520e3904fecbbab7","action":null,"model":{"id":"_163b1501e763447f","type":"AlgebraModel","settings":{},"ascii":"(45*x)/(10*x)"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":353,"y":3396}},"_5ed151f3081433e2":{"type":"Derivation","id":"_5ed151f3081433e2","rows":[{"id":"_f9ecc04813b85808","type":"DerivationRow","dl":"_5ed151f3081433e2","action":null,"model":{"id":"_f9ecc04813b85808","type":"AlgebraModel","settings":{},"ascii":"(x)"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":63,"y":3604}},"_5c955d42f169a92f":{"id":"_5c955d42f169a92f","type":"TextBox","pos":{"x":0,"y":3487},"size":{"width":687},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px; background-color: rgb(255, 255, 255);\">Brackets that are not to maintain the value of an expression can be removed by clicking on them. (Click on the brackets to see what happens.)</span>"},"_6a7fa3adc30fd6ef":{"type":"Derivation","id":"_6a7fa3adc30fd6ef","rows":[{"id":"_57a5951163637c48","type":"DerivationRow","dl":"_6a7fa3adc30fd6ef","action":null,"model":{"id":"_57a5951163637c48","type":"AlgebraModel","settings":{},"ascii":"x+(y*z)"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":329,"y":3600}},"_485bf58bda8df08e":{"id":"_485bf58bda8df08e","type":"TextBox","pos":{"x":2,"y":3680},"size":{"width":691},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px;\">Drag from a solved variable to <u>substitute the variable value into an expression</u>.</span>"},"_6c05638c820196a5":{"type":"Derivation","id":"_6c05638c820196a5","rows":[{"id":"_5c7aa16e4868df7d","type":"DerivationRow","dl":"_6c05638c820196a5","action":null,"model":{"id":"_5c7aa16e4868df7d","type":"AlgebraModel","settings":{},"ascii":"x=1"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":36,"y":3775}},"_8f8a26fd795e0442":{"type":"Derivation","id":"_8f8a26fd795e0442","rows":[{"id":"_a4bb472949cdcb12","type":"DerivationRow","dl":"_8f8a26fd795e0442","action":null,"model":{"id":"_a4bb472949cdcb12","type":"AlgebraModel","settings":{},"ascii":"5*x^2+6*x+7"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":277,"y":3772}},"_7f4b871007f3ca66":{"type":"Derivation","id":"_7f4b871007f3ca66","rows":[{"id":"_9a7f5e5d050777d9","type":"DerivationRow","dl":"_7f4b871007f3ca66","action":null,"model":{"id":"_9a7f5e5d050777d9","type":"AlgebraModel","settings":{},"ascii":"2^4"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":62,"y":3942}},"_1ef60bd6636d5790":{"id":"_1ef60bd6636d5790","type":"TextBox","pos":{"x":0,"y":3844},"size":{"width":614},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px; background-color: rgb(255, 255, 255);\"><u>Evaluate powers</u> by clicking the base or exponent.&nbsp; <br>(See if you can make the second expression 1/8 th)</span>"},"_7b9dcfb4af1c8a0c":{"type":"Derivation","id":"_7b9dcfb4af1c8a0c","rows":[{"id":"_31f87fe371e36d9a","type":"DerivationRow","dl":"_7b9dcfb4af1c8a0c","action":null,"model":{"id":"_31f87fe371e36d9a","type":"AlgebraModel","settings":{},"ascii":"2^(-3)"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":261,"y":3946}},"_ec3c73b6f475afb6":{"id":"_ec3c73b6f475afb6","type":"TextBox","pos":{"x":12,"y":4011},"size":{"width":618},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px;\">Like variables in a product can be combined into a power term. For sums, tap to combine and drag to distribute.</span>"},"_0e6c360ae4bb54f4":{"type":"Derivation","id":"_0e6c360ae4bb54f4","rows":[{"id":"_d098142712bc7673","type":"DerivationRow","dl":"_0e6c360ae4bb54f4","action":null,"model":{"id":"_d098142712bc7673","type":"AlgebraModel","settings":{},"ascii":"x*x*x"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":50,"y":4117}},"_7b311e51e6f89eb4":{"type":"Derivation","id":"_7b311e51e6f89eb4","rows":[{"id":"_a22563dadfe9e1f9","type":"DerivationRow","dl":"_7b311e51e6f89eb4","action":null,"model":{"id":"_a22563dadfe9e1f9","type":"AlgebraModel","settings":{},"ascii":"(x+y)*(x+y)"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":344,"y":4113}},"_21034252fbda4202":{"id":"_21034252fbda4202","type":"TextBox","pos":{"x":0,"y":4188},"size":{"width":620},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px; background-color: rgb(255, 255, 255);\">Powers in a product with the same base can be combined, and the exponent can be further simplified. (Try simplifying in one move.)</span>"},"_846ff47758b0574e":{"type":"Derivation","id":"_846ff47758b0574e","rows":[{"id":"_54215b801022fa88","type":"DerivationRow","dl":"_846ff47758b0574e","action":null,"model":{"id":"_54215b801022fa88","type":"AlgebraModel","settings":{},"ascii":"x^2*x^3"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":49,"y":4295}},"_9ad35381b647735a":{"type":"Derivation","id":"_9ad35381b647735a","rows":[{"id":"_27ee4afbcdc72c3c","type":"DerivationRow","dl":"_9ad35381b647735a","action":null,"model":{"id":"_27ee4afbcdc72c3c","type":"AlgebraModel","settings":{},"ascii":"(x*y)^3*(x*y)^5*(x*y)^9"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":307,"y":4292}},"_a650a1463735ecf4":{"id":"_a650a1463735ecf4","type":"TextBox","pos":{"x":0,"y":4365},"size":{"width":624},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px; background-color: rgb(255, 255, 255);\">Exponents on different levels can be combined by dragging them next to each other.</span>"},"_5d30512d8016a73b":{"type":"Derivation","id":"_5d30512d8016a73b","rows":[{"id":"_b0af19b9d8a7151d","type":"DerivationRow","dl":"_5d30512d8016a73b","action":null,"model":{"id":"_b0af19b9d8a7151d","type":"AlgebraModel","settings":{},"ascii":"(x^2)^3"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":97,"y":4468}},"_ab3870c2693bf422":{"id":"_ab3870c2693bf422","type":"TextBox","pos":{"x":0,"y":4548},"size":{"width":628},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px;\">A power with a sum as exponent can be <u>split into a product of powers</u>.</span>"},"_37d4d7c51ae63667":{"type":"Derivation","id":"_37d4d7c51ae63667","rows":[{"id":"_cef07556b4944f89","type":"DerivationRow","dl":"_37d4d7c51ae63667","action":null,"model":{"id":"_cef07556b4944f89","type":"AlgebraModel","settings":{},"ascii":"x^(2+3)"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":103,"y":4626}},"_35b09deb6dc98cba":{"type":"Derivation","id":"_35b09deb6dc98cba","rows":[{"id":"_d107c17674ba2ab3","type":"DerivationRow","dl":"_35b09deb6dc98cba","action":null,"model":{"id":"_d107c17674ba2ab3","type":"AlgebraModel","settings":{},"ascii":"x^(a+b+c)"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":439,"y":4627}},"_dbd6411033138599":{"id":"_dbd6411033138599","type":"TextBox","pos":{"x":0,"y":4701},"size":{"width":621},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px; background-color: rgb(255, 255, 255);\">Exponents can be distributed into products.</span>"},"_4d0e351bcf196feb":{"type":"Derivation","id":"_4d0e351bcf196feb","rows":[{"id":"_7d4af4d8dd3dea5d","type":"DerivationRow","dl":"_4d0e351bcf196feb","action":null,"model":{"id":"_7d4af4d8dd3dea5d","type":"AlgebraModel","settings":{},"ascii":"(2*3)^4"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":106,"y":4781}},"_87b0976c938c8e13":{"id":"_87b0976c938c8e13","type":"TextBox","pos":{"x":0,"y":4854},"size":{"width":617},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px;\">Exponents can similarly be collected and brought out of products.</span>"},"_4fb7abcbeaecb52a":{"type":"Derivation","id":"_4fb7abcbeaecb52a","rows":[{"id":"_383c15d33f95c4b5","type":"DerivationRow","dl":"_4fb7abcbeaecb52a","action":null,"model":{"id":"_383c15d33f95c4b5","type":"AlgebraModel","settings":{},"ascii":"(y^2*x^2)/z^2"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":122,"y":4930}},"_cebbdca3e0c51f8f":{"type":"Derivation","id":"_cebbdca3e0c51f8f","rows":[{"id":"_4f723a6b9eddfd2f","type":"DerivationRow","dl":"_cebbdca3e0c51f8f","action":null,"model":{"id":"_4f723a6b9eddfd2f","type":"AlgebraModel","settings":{},"ascii":"(x^2*y^2)/(a*z^2)"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":357,"y":4933}},"_520ca09712be091d":{"id":"_520ca09712be091d","type":"TextBox","pos":{"x":5,"y":5025},"size":{"width":631},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px;\">If a sum is the base of a power, power can be evaluated by double-tapping on the exponent.</span>"},"_2e743b4bbd2f52fa":{"type":"Derivation","id":"_2e743b4bbd2f52fa","rows":[{"id":"_a63dcbb39fd446c8","type":"DerivationRow","dl":"_2e743b4bbd2f52fa","action":null,"model":{"id":"_a63dcbb39fd446c8","type":"AlgebraModel","settings":{},"ascii":"(a+b)^2"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":69,"y":5135}},"_948ef78f3805ea68":{"type":"Derivation","id":"_948ef78f3805ea68","rows":[{"id":"_28787a0d84a4fb9c","type":"DerivationRow","dl":"_948ef78f3805ea68","action":null,"model":{"id":"_28787a0d84a4fb9c","type":"AlgebraModel","settings":{},"ascii":"(a+b)^3"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":359,"y":5133}},"_ecec7021ba31d3f7":{"id":"_ecec7021ba31d3f7","type":"TextBox","pos":{"x":3,"y":5208},"size":{"width":659},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px; background-color: rgb(255, 255, 255);\">Try to solve this equation using a single, long mouse gesture. Don't worry if you find this tricky, you can always do things in several steps later!</span>"},"_d6eb32d2df5a1399":{"type":"Derivation","id":"_d6eb32d2df5a1399","rows":[{"id":"_5437d7d44b09fa9f","type":"DerivationRow","dl":"_d6eb32d2df5a1399","action":null,"model":{"id":"_5437d7d44b09fa9f","type":"AlgebraModel","settings":{},"ascii":"(3+4+7)/7*x=2"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":27,"y":5311}},"_03d385437ee87bc1":{"type":"Derivation","id":"_03d385437ee87bc1","rows":[{"id":"_5edf1036cb070883","type":"DerivationRow","dl":"_03d385437ee87bc1","action":null,"model":{"id":"_5edf1036cb070883","type":"AlgebraModel","settings":{},"ascii":"x*y+x*z=5*x"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":332,"y":5313}},"_fae8ea618cd14d87":{"id":"_fae8ea618cd14d87","type":"TextBox","pos":{"x":0,"y":5405},"size":{"width":641},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px; background-color: rgb(255, 255, 255);\">To split off a -1 from a negative term, pull the negative sign <u>slightly</u> to the left and hold it there.</span>"},"_e3b8bdd66c597df4":{"type":"Derivation","id":"_e3b8bdd66c597df4","rows":[{"id":"_e706ca8d05d12d35","type":"DerivationRow","dl":"_e3b8bdd66c597df4","action":null,"model":{"id":"_e706ca8d05d12d35","type":"AlgebraModel","settings":{},"ascii":"-x"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":90,"y":5509}},"_a74c359a266d4d53":{"type":"Derivation","id":"_a74c359a266d4d53","rows":[{"id":"_3bd8bdc97d0c4507","type":"DerivationRow","dl":"_a74c359a266d4d53","action":null,"model":{"id":"_3bd8bdc97d0c4507","type":"AlgebraModel","settings":{},"ascii":"-7"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":272,"y":5513}},"_2102f42c17a40360":{"id":"_2102f42c17a40360","type":"TextBox","pos":{"x":8,"y":5579},"size":{"width":644},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px;\">For the reverse action (multiplying a term with -1) either drag the -1 onto the term or click / tap on it.</span>"},"_7bc94b67e99bbdec":{"type":"Derivation","id":"_7bc94b67e99bbdec","rows":[{"id":"_0fdacbdfeb64cf7e","type":"DerivationRow","dl":"_7bc94b67e99bbdec","action":null,"model":{"id":"_0fdacbdfeb64cf7e","type":"AlgebraModel","settings":{},"ascii":"-1*x"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":86,"y":5683}},"_54e4d2500d917bb0":{"type":"Derivation","id":"_54e4d2500d917bb0","rows":[{"id":"_1af295752cb15e19","type":"DerivationRow","dl":"_54e4d2500d917bb0","action":null,"model":{"id":"_1af295752cb15e19","type":"AlgebraModel","settings":{},"ascii":"-1*7"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":242,"y":5680}},"_a2e4c30a775dd838":{"id":"_a2e4c30a775dd838","type":"TextBox","pos":{"x":5,"y":5729},"size":{"width":640},"uneditable":false,"closable":false,"font_size":20,"text":"<span style=\"color: rgb(85, 85, 85); font-size: 18.4px; background-color: rgb(255, 255, 255);\">You can move a -1 into the denominator of a fraction.</span>"},"_5a9a862a6ce5ecca":{"type":"Derivation","id":"_5a9a862a6ce5ecca","rows":[{"id":"_ea9be780483441c2","type":"DerivationRow","dl":"_5a9a862a6ce5ecca","action":null,"model":{"id":"_ea9be780483441c2","type":"AlgebraModel","settings":{},"ascii":"-1*x/y"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":124,"y":5782}},"_b4da81e44c97f0e9":{"id":"_b4da81e44c97f0e9","type":"TextBox","pos":{"x":0,"y":5858},"size":{"width":300},"uneditable":false,"closable":false,"font_size":20,"text":"Use Formulas."},"_87ac8e5712d39c0c":{"type":"Derivation","id":"_87ac8e5712d39c0c","rows":[{"id":"_8e8e4eff88583e94","type":"DerivationRow","dl":"_87ac8e5712d39c0c","action":null,"model":{"id":"_8e8e4eff88583e94","type":"AlgebraModel","settings":{},"ascii":"3*x^2+12*x+36=0"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":0,"y":5941}},"_6920f35415abdfc4":{"type":"Derivation","id":"_6920f35415abdfc4","rows":[{"id":"_995f2339a2ea42a4","type":"DerivationRow","dl":"_6920f35415abdfc4","action":null,"model":{"id":"_995f2339a2ea42a4","type":"AlgebraModel","settings":{},"ascii":"p^2-4^2"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":3,"y":6210}},"_3e87945c0ac58bdb":{"type":"Derivation","id":"_3e87945c0ac58bdb","rows":[{"id":"_a76dd20bb70c9047","type":"DerivationRow","dl":"_3e87945c0ac58bdb","action":"_e2c1eab04ca405c1","model":{"id":"_a76dd20bb70c9047","type":"AlgebraModel","settings":{"locked":true},"ascii":"3*x^2+12*x+36=0"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":551,"y":5943}},"_ac10ef38252d7907":{"type":"Derivation","id":"_ac10ef38252d7907","rows":[{"id":"_9b9564190010a437","type":"DerivationRow","dl":"_ac10ef38252d7907","action":null,"model":{"id":"_9b9564190010a437","type":"AlgebraModel","settings":{},"ascii":"4*2"},"row_idx":0,"hidden":true},{"id":"_b7126e921f8404f2","type":"DerivationRow","dl":"_ac10ef38252d7907","action":"_1ec9b642b09d9b8e","model":{"id":"_b7126e921f8404f2","type":"AlgebraModel","settings":{"locked":true},"ascii":"8"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":371,"y":105}},"_d7b3c374aafa92cd":{"id":"_d7b3c374aafa92cd","type":"TextBox","pos":{"x":933,"y":63},"size":{"width":300},"uneditable":false,"closable":false,"font_size":26,"text":"Kathy <u>Keefe</u><div><br></div>"},"_088b32bfb8ea795c":{"type":"Derivation","id":"_088b32bfb8ea795c","rows":[{"id":"_c3ca14667ecec109","type":"DerivationRow","dl":"_088b32bfb8ea795c","action":"_882a1ad14959e048","model":{"id":"_c3ca14667ecec109","type":"AlgebraModel","settings":{"locked":true},"ascii":"1/2+1/3"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":496,"y":1061}},"_02d21b23f2dce8a7":{"type":"Derivation","id":"_02d21b23f2dce8a7","rows":[{"id":"_ae035eaa75743f54","type":"DerivationRow","dl":"_02d21b23f2dce8a7","action":"_c0fda73f9127cdb3","model":{"id":"_ae035eaa75743f54","type":"AlgebraModel","settings":{"locked":true},"ascii":"a/b*x/y"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":768,"y":1059}},"_c4c686f5d3bbcfc7":{"type":"Derivation","id":"_c4c686f5d3bbcfc7","rows":[{"id":"_9961d7c50dce518c","type":"DerivationRow","dl":"_c4c686f5d3bbcfc7","action":"_010e9af10a24a437","model":{"id":"_9961d7c50dce518c","type":"AlgebraModel","settings":{"locked":true},"ascii":"a*(b+1)=c"},"row_idx":0,"hidden":true},{"id":"_5b44d5d45c1d5ee9","type":"DerivationRow","dl":"_c4c686f5d3bbcfc7","action":"_9a5be5cf7d9b8ce1","model":{"id":"_5b44d5d45c1d5ee9","type":"AlgebraModel","settings":{"locked":true},"ascii":"(b+1)*a=c"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":517,"y":1224}},"_59ca1cb9f6cd2a49":{"type":"Derivation","id":"_59ca1cb9f6cd2a49","rows":[{"id":"_427efd775abfa5df","type":"DerivationRow","dl":"_59ca1cb9f6cd2a49","action":"_a253fc25bb1624e6","model":{"id":"_427efd775abfa5df","type":"AlgebraModel","settings":{"locked":true},"ascii":"2*a*b+3*a*b"},"row_idx":0,"hidden":false},{"id":"_217b3b106a3e4c2a","type":"DerivationRow","dl":"_59ca1cb9f6cd2a49","action":"_0b780b397c2acb18","model":{"id":"_217b3b106a3e4c2a","type":"AlgebraModel","settings":{"locked":true},"ascii":"a*b*2+3*a*b"},"row_idx":1,"hidden":false},{"id":"_6311a262d6fd9472","type":"DerivationRow","dl":"_59ca1cb9f6cd2a49","action":"_7737217e9fc9d95c","model":{"id":"_6311a262d6fd9472","type":"AlgebraModel","settings":{"locked":true},"ascii":"(2+3)*a*b"},"row_idx":2,"hidden":false}],"settings":{},"pos":{"x":760,"y":1270}},"_69ae712960443437":{"type":"Derivation","id":"_69ae712960443437","rows":[{"id":"_987a87ab567c48fd","type":"DerivationRow","dl":"_69ae712960443437","action":"_e7fc08eced4e1faf","model":{"id":"_987a87ab567c48fd","type":"AlgebraModel","settings":{"locked":true},"ascii":"1/2+1/3"},"row_idx":0,"hidden":false},{"id":"_99ad6da1d8c944f4","type":"DerivationRow","dl":"_69ae712960443437","action":"_9513b76967317b00","model":{"id":"_99ad6da1d8c944f4","type":"AlgebraModel","settings":{"locked":true},"ascii":"1/2+2/(3*2)"},"row_idx":1,"hidden":true},{"id":"_6b8e1ff8e10eefd0","type":"DerivationRow","dl":"_69ae712960443437","action":"_1d8e405d74b8631f","model":{"id":"_6b8e1ff8e10eefd0","type":"AlgebraModel","settings":{"locked":true},"ascii":"3/(3*2)+2/(3*2)"},"row_idx":2,"hidden":false},{"id":"_c48959cce8fb4786","type":"DerivationRow","dl":"_69ae712960443437","action":"_a2b7fc82e479605c","model":{"id":"_c48959cce8fb4786","type":"AlgebraModel","settings":{"locked":true},"ascii":"3/6+2/(3*2)"},"row_idx":3,"hidden":true},{"id":"_d6ae50b99f36515d","type":"DerivationRow","dl":"_69ae712960443437","action":"_328f3acb52db731a","model":{"id":"_d6ae50b99f36515d","type":"AlgebraModel","settings":{"locked":true},"ascii":"3/6+2/6"},"row_idx":4,"hidden":false}],"settings":{},"pos":{"x":757,"y":1524}},"_fa40261e78670717":{"type":"Derivation","id":"_fa40261e78670717","rows":[{"id":"_d22f7efb1ef98570","type":"DerivationRow","dl":"_fa40261e78670717","action":"_ab2bc845ca2ee4d8","model":{"id":"_d22f7efb1ef98570","type":"AlgebraModel","settings":{"locked":true},"ascii":"1+2/3"},"row_idx":0,"hidden":false},{"id":"_aeb21649027d5d95","type":"DerivationRow","dl":"_fa40261e78670717","action":"_50aa8c9f0d0e57fa","model":{"id":"_aeb21649027d5d95","type":"AlgebraModel","settings":{"locked":true},"ascii":"3/3+2/3"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":1248,"y":1583}},"_548dab041c8112df":{"type":"Derivation","id":"_548dab041c8112df","rows":[{"id":"_378747ae47a09c1a","type":"DerivationRow","dl":"_548dab041c8112df","action":"_b75101787a15938f","model":{"id":"_378747ae47a09c1a","type":"AlgebraModel","settings":{"locked":true},"ascii":"2*1/(2*x)"},"row_idx":0,"hidden":true},{"id":"_6447cb27377da2ad","type":"DerivationRow","dl":"_548dab041c8112df","action":"_0be630259874dc0c","model":{"id":"_6447cb27377da2ad","type":"AlgebraModel","settings":{"locked":true},"ascii":"1/x"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":676,"y":2120}},"_1f96879f98d86772":{"type":"Derivation","id":"_1f96879f98d86772","rows":[{"id":"_2fa1933631a2da28","type":"DerivationRow","dl":"_1f96879f98d86772","action":"_383eeb1f6d14d0df","model":{"id":"_2fa1933631a2da28","type":"AlgebraModel","settings":{"locked":true},"ascii":"(3+2)/4"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":507,"y":2556}},"_3e0b8a98e481f36b":{"type":"Derivation","id":"_3e0b8a98e481f36b","rows":[{"id":"_a691342d95890e4e","type":"DerivationRow","dl":"_3e0b8a98e481f36b","action":"_4e4e677816e8d765","model":{"id":"_a691342d95890e4e","type":"AlgebraModel","settings":{"locked":true},"ascii":"x^(-2)"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":552,"y":2937}},"_ac0ba77f52c5bed2":{"type":"Derivation","id":"_ac0ba77f52c5bed2","rows":[{"id":"_3bea4e67dbdd95a9","type":"DerivationRow","dl":"_ac0ba77f52c5bed2","action":"_29ba1f8df8c6089a","model":{"id":"_3bea4e67dbdd95a9","type":"AlgebraModel","settings":{"locked":true},"ascii":"(a^2*c^(-3))/b"},"row_idx":0,"hidden":true},{"id":"_e3001835d8b4f2d9","type":"DerivationRow","dl":"_ac0ba77f52c5bed2","action":"_201df32a7fd341c6","model":{"id":"_e3001835d8b4f2d9","type":"AlgebraModel","settings":{"locked":true},"ascii":"a^2/(b*c^3)"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":537,"y":2736}},"_e68990f6b84ba611":{"type":"Derivation","id":"_e68990f6b84ba611","rows":[{"id":"_387c334a0b864f5a","type":"DerivationRow","dl":"_e68990f6b84ba611","action":"_c165e5e2baa1c0fb","model":{"id":"_387c334a0b864f5a","type":"AlgebraModel","settings":{"locked":true},"ascii":"1/c^(-1)"},"row_idx":0,"hidden":false},{"id":"_c0ecbef071136564","type":"DerivationRow","dl":"_e68990f6b84ba611","action":"_d104598a780bf787","model":{"id":"_c0ecbef071136564","type":"AlgebraModel","settings":{"locked":true},"ascii":"c"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":710,"y":2728}},"_1263ea95edfd913a":{"type":"Derivation","id":"_1263ea95edfd913a","rows":[{"id":"_2203e40175b62f6d","type":"DerivationRow","dl":"_1263ea95edfd913a","action":"_0344e974010c0e30","model":{"id":"_2203e40175b62f6d","type":"AlgebraModel","settings":{"locked":true},"ascii":"4*x+y+3+5*x+9+y"},"row_idx":0,"hidden":false},{"id":"_502d90d9b998fbc6","type":"DerivationRow","dl":"_1263ea95edfd913a","action":"_99920f6379eefce4","model":{"id":"_502d90d9b998fbc6","type":"AlgebraModel","settings":{"locked":true},"ascii":"y+4*x+y+3+5*x+9"},"row_idx":1,"hidden":true},{"id":"_f65fbfcda2635833","type":"DerivationRow","dl":"_1263ea95edfd913a","action":"_d37de61ef38fe36c","model":{"id":"_f65fbfcda2635833","type":"AlgebraModel","settings":{"locked":true},"ascii":"4*x+2*y+3+5*x+9"},"row_idx":2,"hidden":true},{"id":"_6e34663827773c4e","type":"DerivationRow","dl":"_1263ea95edfd913a","action":"_aeb0da1bb62280ea","model":{"id":"_6e34663827773c4e","type":"AlgebraModel","settings":{"locked":true},"ascii":"9*x+2*y+3+9"},"row_idx":3,"hidden":false},{"id":"_95dffef9b3a59a0a","type":"DerivationRow","dl":"_1263ea95edfd913a","action":"_50d9a888eff71c04","model":{"id":"_95dffef9b3a59a0a","type":"AlgebraModel","settings":{"locked":true},"ascii":"9*x+2*y+12"},"row_idx":4,"hidden":false}],"settings":{},"pos":{"x":505,"y":3071}},"_5d17d34bb3657321":{"type":"Derivation","id":"_5d17d34bb3657321","rows":[{"id":"_49aaf6501d9900b8","type":"DerivationRow","dl":"_5d17d34bb3657321","action":"_e00858b36d0c7a13","model":{"id":"_49aaf6501d9900b8","type":"AlgebraModel","settings":{"locked":true},"ascii":"(45*x)/(10*x)"},"row_idx":0,"hidden":true},{"id":"_1c3fd32b196ef632","type":"DerivationRow","dl":"_5d17d34bb3657321","action":"_1399a100e8342c87","model":{"id":"_1c3fd32b196ef632","type":"AlgebraModel","settings":{"locked":true},"ascii":"45/10"},"row_idx":1,"hidden":true},{"id":"_81350b15d8dab06e","type":"DerivationRow","dl":"_5d17d34bb3657321","action":"_26c40d4f6782941d","model":{"id":"_81350b15d8dab06e","type":"AlgebraModel","settings":{"locked":true},"ascii":"(9*5)/(2*5)"},"row_idx":2,"hidden":true},{"id":"_878cdab9c14e95d0","type":"DerivationRow","dl":"_5d17d34bb3657321","action":"_ef8d736298fb1cb9","model":{"id":"_878cdab9c14e95d0","type":"AlgebraModel","settings":{"locked":true},"ascii":"9/2"},"row_idx":3,"hidden":true},{"id":"_c93749659891dfe9","type":"DerivationRow","dl":"_5d17d34bb3657321","action":"_4b9b74663173d162","model":{"id":"_c93749659891dfe9","type":"AlgebraModel","settings":{"locked":true},"ascii":"4.5"},"row_idx":4,"hidden":false}],"settings":{},"pos":{"x":599,"y":3390}},"_f8be7522ad6761d7":{"type":"Derivation","id":"_f8be7522ad6761d7","rows":[{"id":"_ba443a8398340c53","type":"DerivationRow","dl":"_f8be7522ad6761d7","action":"_4733e1ffcc31d2d9","model":{"id":"_ba443a8398340c53","type":"AlgebraModel","settings":{"locked":true},"ascii":"(x)"},"row_idx":0,"hidden":true},{"id":"_03533ca83c309239","type":"DerivationRow","dl":"_f8be7522ad6761d7","action":"_5c62b1460af6a0c2","model":{"id":"_03533ca83c309239","type":"AlgebraModel","settings":{"locked":true},"ascii":"x"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":570,"y":3599}},"_b074b7ec3f8c4331":{"type":"Derivation","id":"_b074b7ec3f8c4331","rows":[{"id":"_27842be37422fc9f","type":"DerivationRow","dl":"_b074b7ec3f8c4331","action":"_bfdea469895056a7","model":{"id":"_27842be37422fc9f","type":"AlgebraModel","settings":{"locked":true},"ascii":"5*x^2+6*x+7"},"row_idx":0,"hidden":true},{"id":"_83dd5b123d201f4e","type":"DerivationRow","dl":"_b074b7ec3f8c4331","action":"_e2635f71cf8b5bcb","model":{"id":"_83dd5b123d201f4e","type":"AlgebraModel","settings":{"locked":true},"ascii":"5*(1)^2+6*(1)+7"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":592,"y":3758}},"_3ec775eb2be11454":{"type":"Derivation","id":"_3ec775eb2be11454","rows":[{"id":"_6be67ace68d8ede5","type":"DerivationRow","dl":"_3ec775eb2be11454","action":"_a2e01ac150152061","model":{"id":"_6be67ace68d8ede5","type":"AlgebraModel","settings":{"locked":true},"ascii":"2^4"},"row_idx":0,"hidden":true},{"id":"_a09138fbe3af04ef","type":"DerivationRow","dl":"_3ec775eb2be11454","action":"_40b70177710f9686","model":{"id":"_a09138fbe3af04ef","type":"AlgebraModel","settings":{"locked":true},"ascii":"16"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":481,"y":3927}},"_6086b3c8eb78f585":{"type":"Derivation","id":"_6086b3c8eb78f585","rows":[{"id":"_9db97ac078d31fa3","type":"DerivationRow","dl":"_6086b3c8eb78f585","action":"_e36e13d915d6f187","model":{"id":"_9db97ac078d31fa3","type":"AlgebraModel","settings":{"locked":true},"ascii":"2^(-3)"},"row_idx":0,"hidden":false},{"id":"_ee265162f40f16be","type":"DerivationRow","dl":"_6086b3c8eb78f585","action":"_a8f31c104731e493","model":{"id":"_ee265162f40f16be","type":"AlgebraModel","settings":{"locked":true},"ascii":"0.125"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":654,"y":3913}},"_68858ba222a65b6b":{"type":"Derivation","id":"_68858ba222a65b6b","rows":[{"id":"_cf8cf14395e6a7fe","type":"DerivationRow","dl":"_68858ba222a65b6b","action":"_e530438ce5a1fda6","model":{"id":"_cf8cf14395e6a7fe","type":"AlgebraModel","settings":{"locked":true},"ascii":"2^(-3)"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":853,"y":3881}},"_fe7b23b96ad347c4":{"type":"Derivation","id":"_fe7b23b96ad347c4","rows":[{"id":"_24daa6d1f22903f5","type":"DerivationRow","dl":"_fe7b23b96ad347c4","action":"_e4d3605326a32098","model":{"id":"_24daa6d1f22903f5","type":"AlgebraModel","settings":{"locked":true},"ascii":"x*x*x"},"row_idx":0,"hidden":false},{"id":"_7d5c943eb26a279f","type":"DerivationRow","dl":"_fe7b23b96ad347c4","action":"_6303ff58ec3c1735","model":{"id":"_7d5c943eb26a279f","type":"AlgebraModel","settings":{"locked":true},"ascii":"x^2*x"},"row_idx":1,"hidden":true},{"id":"_73eafa87799a5065","type":"DerivationRow","dl":"_fe7b23b96ad347c4","action":"_5c4ecad381438ea2","model":{"id":"_73eafa87799a5065","type":"AlgebraModel","settings":{"locked":true},"ascii":"x^3"},"row_idx":2,"hidden":false}],"settings":{},"pos":{"x":682,"y":4069}},"_cb334a7fae2903d9":{"type":"Derivation","id":"_cb334a7fae2903d9","rows":[{"id":"_51b1e57e79f4bddf","type":"DerivationRow","dl":"_cb334a7fae2903d9","action":"_9aee01d99699409c","model":{"id":"_51b1e57e79f4bddf","type":"AlgebraModel","settings":{"locked":true},"ascii":"(x+y)*(x+y)"},"row_idx":0,"hidden":false},{"id":"_d99f5fb6d41c0c26","type":"DerivationRow","dl":"_cb334a7fae2903d9","action":"_e5b2dcfcab62e119","model":{"id":"_d99f5fb6d41c0c26","type":"AlgebraModel","settings":{"locked":true},"ascii":"(x+y)^2"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":947,"y":4019}},"_6f901005a79bef6f":{"type":"Derivation","id":"_6f901005a79bef6f","rows":[{"id":"_5271190f52313b25","type":"DerivationRow","dl":"_6f901005a79bef6f","action":"_2dd20a894033497c","model":{"id":"_5271190f52313b25","type":"AlgebraModel","settings":{"locked":true},"ascii":"x^2*x^3"},"row_idx":0,"hidden":false},{"id":"_24dbbf68bcf9e623","type":"DerivationRow","dl":"_6f901005a79bef6f","action":"_5458d88195a612bb","model":{"id":"_24dbbf68bcf9e623","type":"AlgebraModel","settings":{"locked":true},"ascii":"x^(2+3)"},"row_idx":1,"hidden":false},{"id":"_49f761304cfea610","type":"DerivationRow","dl":"_6f901005a79bef6f","action":"_d2232996f9bf8d37","model":{"id":"_49f761304cfea610","type":"AlgebraModel","settings":{"locked":true},"ascii":"x^5"},"row_idx":2,"hidden":false}],"settings":{},"pos":{"x":766,"y":4195}},"_bb0ccb5c9473cbd6":{"type":"Derivation","id":"_bb0ccb5c9473cbd6","rows":[{"id":"_f5838399cd0790d6","type":"DerivationRow","dl":"_bb0ccb5c9473cbd6","action":"_26322fc62bf60a87","model":{"id":"_f5838399cd0790d6","type":"AlgebraModel","settings":{"locked":true},"ascii":"(2*3)^4"},"row_idx":0,"hidden":false},{"id":"_049ea2a40a8ae478","type":"DerivationRow","dl":"_bb0ccb5c9473cbd6","action":"_f1f79eb5c6410822","model":{"id":"_049ea2a40a8ae478","type":"AlgebraModel","settings":{"locked":true},"ascii":"6^4"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":438,"y":4730}},"_80a2d9e59df49dd8":{"type":"Derivation","id":"_80a2d9e59df49dd8","rows":[{"id":"_be7e0ec772a6852f","type":"DerivationRow","dl":"_80a2d9e59df49dd8","action":"_429afe5589951c6c","model":{"id":"_be7e0ec772a6852f","type":"AlgebraModel","settings":{"locked":true},"ascii":"(y^2*x^2)/z^2"},"row_idx":0,"hidden":true},{"id":"_2fe1350aa1d1e56e","type":"DerivationRow","dl":"_80a2d9e59df49dd8","action":"_950272c424fb6003","model":{"id":"_2fe1350aa1d1e56e","type":"AlgebraModel","settings":{"locked":true},"ascii":"(y*x)^2/z^2"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":634,"y":4868}},"_7535dba59315d393":{"type":"Derivation","id":"_7535dba59315d393","rows":[{"id":"_14e5649b09b72239","type":"DerivationRow","dl":"_7535dba59315d393","action":"_ec3b1849e2021a57","model":{"id":"_14e5649b09b72239","type":"AlgebraModel","settings":{"locked":true},"ascii":"(a+b)^2"},"row_idx":0,"hidden":false},{"id":"_0ce9a5ad35061813","type":"DerivationRow","dl":"_7535dba59315d393","action":"_48dfcfddcbd1d20f","model":{"id":"_0ce9a5ad35061813","type":"AlgebraModel","settings":{"locked":true},"ascii":"a^2+2*a*b+b^2"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":661,"y":5079}},"_5c76359d4e33f85c":{"type":"Derivation","id":"_5c76359d4e33f85c","rows":[{"id":"_c0f1fd9e34f245f1","type":"DerivationRow","dl":"_5c76359d4e33f85c","action":"_b5bce1af25743a44","model":{"id":"_c0f1fd9e34f245f1","type":"AlgebraModel","settings":{"locked":true},"ascii":"(x^2*y^2)/(a*z^2)"},"row_idx":0,"hidden":false},{"id":"_03c0f2cacd76bf43","type":"DerivationRow","dl":"_5c76359d4e33f85c","action":"_216b0982ff3854f9","model":{"id":"_03c0f2cacd76bf43","type":"AlgebraModel","settings":{"locked":true},"ascii":"(x*y)^2/(a*z^2)"},"row_idx":1,"hidden":false}],"settings":{},"pos":{"x":906,"y":4851}},"_df857c07a4311d5d":{"type":"Derivation","id":"_df857c07a4311d5d","rows":[{"id":"_833d18796e2668c4","type":"DerivationRow","dl":"_df857c07a4311d5d","action":"_d5dfe9250e821da4","model":{"id":"_833d18796e2668c4","type":"AlgebraModel","settings":{"locked":true},"ascii":"-x"},"row_idx":0,"hidden":false}],"settings":{},"pos":{"x":663,"y":5472}},"_547b739afcc8d207":{"ggb_app_name":"graphing","pos":{"x":1071,"y":240},"size":{"width":600,"height":400},"type":"GeoGebraCanvasElement","id":"_547b739afcc8d207","ggb_base64":"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"},"_3bc3899bc4badf35":{"zIndex":2,"type":"GeoGebraPanel","id":"_3bc3899bc4badf35","pos":{"x":892,"y":150},"size":{"width":120,"height":500},"ggbElement":"_547b739afcc8d207","links":[]},"_16ecb9568dc64a4a":{"ggb_app_name":"geometry","size":{"width":600,"height":400},"zIndex":3,"type":"GeoGebraCanvasElement","id":"_16ecb9568dc64a4a","pos":{"x":447,"y":335},"ggb_base64":"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"},"_a5d0c605ca61fbc1":{"zIndex":4,"type":"GeoGebraPanel","id":"_a5d0c605ca61fbc1","pos":{"x":584,"y":142},"size":{"width":120,"height":500},"ggbElement":"_16ecb9568dc64a4a","links":[]}},"referenced_deleted_models":{}};

var myCopy = null;
///////////////////////////////////////////////////////////////////
function recursiveDeepCopy(o) {
    var newO,
      i;
  
    if (typeof o !== 'object') {
      return o;
    }
    if (!o) {
      return o;
    }
  
    if ('[object Array]' === Object.prototype.toString.apply(o)) {
      newO = [];
      for (i = 0; i < o.length; i += 1) {
        newO[i] = recursiveDeepCopy(o[i]);
      }
      return newO;
    }
  
    newO = {};
    for (i in o) {
      if (o.hasOwnProperty(i)) {
        newO[i] = recursiveDeepCopy(o[i]);
      }
    }
    return newO;
  }
//////////////////////////////////////////////////////////////////
// Use https://www.npmjs.com/package/fastest-json-copy
// Instead of the code below! It is the same thing, just minified.
var isArray=Array.isArray;function fastestJsonCopy(r){if(!r)return r;if(isArray(r)){for(var e=[],o=r.length,t=0;t<o;t++)e.push(fastestJsonCopy(r[t]));return e}if("object"==typeof r){var y=Object.keys(r),a=(o=y.length,{});for(t=0;t<o;t++){var c=y[t];a[c]=fastestJsonCopy(r[c])}return a}return r}

Tests:

Lodash's cloneDeep
myCopy = _.cloneDeep(MyObject);
JSON.parse(JSON.stringify())
myCopy = JSON.parse(JSON.stringify(MyObject));
recursiveDeepCopy
myCopy = recursiveDeepCopy(MyObject);
fastest-json-copy npm package
myCopy = fastestJsonCopy(MyObject);

Rendered benchmark preparation results:

Suite status: <idle, ready to run>

Previous results

Test case name	Result
Lodash's cloneDeep
JSON.parse(JSON.stringify())
recursiveDeepCopy
fastest-json-copy npm package

Fastest: N/A

Slowest: N/A

Latest run results:

No previous run results

This benchmark does not have any results yet. Be the first one to run it!

Autogenerated LLM Summary (model llama3.2:3b, generated one year ago):

LLMs can make mistakes. Check important info.

Related benchmarks: