{"id":"cb_question_bank:a6fefdda-e000-428e-8c94-c380c31aa2dd","source_id":"cb_question_bank","source_item_id":"a6fefdda-e000-428e-8c94-c380c31aa2dd","external_id":"ba23c485-785e-419e-b55c-cb7482fba61e","ibn":null,"question_id":"ce6b52d8","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.A.","skill":"Linear equations in one variable","difficulty":"M","score_band":5,"answer_type":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"If 2 left parenthesis 3 t minus 10 right parenthesis plus t equals 40 plus 4 t , what is the value of 3 t ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">If <math alttext=\"2 left parenthesis 3 t minus 10 right parenthesis plus t equals 40 plus 4 t\"><mrow><mn>2</mn></mrow><mo>(</mo><mrow><mn>3</mn></mrow><mi>t</mi><mo>-</mo><mrow><mn>10</mn></mrow><mo>)</mo><mo>+</mo><mi>t</mi><mo>=</mo><mrow><mn>40</mn></mrow><mo>+</mo><mrow><mn>4</mn></mrow><mi>t</mi></math>, what is the value of <math alttext=\"3 t\"><mrow><mn>3</mn></mrow><mi>t</mi></math>?</p>","rationale_html":"<p>The correct answer is <math alttext=\"60\"><mn>60</mn>\n</math>. Subtracting <math alttext=\"t\"><mi>t</mi>\n</math> from both sides of the given equation yields <math alttext=\"2 left parenthesis 3 t minus 10 right parenthesis equals 40 plus 3 t\"><mn>2</mn><mo>(</mo><mn>3</mn><mi>t</mi><mo>-</mo><mn>10</mn><mo>)</mo><mo>=</mo><mn>40</mn><mo>+</mo><mn>3</mn><mi>t</mi></math>. Applying the distributive property to the left-hand side of this equation yields <math alttext=\"6 t minus 20 equals 40 plus 3 t\"><mn>6</mn><mi>t</mi><mo>-</mo><mn>20</mn><mo>=</mo><mn>40</mn><mo>+</mo><mn>3</mn><mi>t</mi></math>. Adding <math alttext=\"20\"><mn>20</mn>\n</math> to both sides of this equation yields <math alttext=\"6 t equals 60 plus 3 t\"><mn>6</mn><mi>t</mi><mo>=</mo><mn>60</mn><mo>+</mo><mn>3</mn><mi>t</mi></math>. Subtracting <math alttext=\"3 t\"><mrow>\n\t<mn>3</mn>\n\t<mi>t</mi>\n</mrow>\n</math> from both sides of this equation yields <math alttext=\"3 t equals 60\"><mn>3</mn><mi>t</mi><mo>=</mo><mn>60</mn></math>. Therefore, the value of <math alttext=\"3 t\"><mrow>\n\t<mn>3</mn>\n\t<mi>t</mi>\n</mrow>\n</math> is <math alttext=\"60\"><mn>60</mn>\n</math>.</p>","correct_answer":["60"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.809000+00:00","source_updated_at":"2023-08-02T20:25:59.809000+00:00","options":[],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}