{"id":"cb_question_bank:8676ca19-ac42-4c5b-a518-163c27c01101","source_id":"cb_question_bank","source_item_id":"8676ca19-ac42-4c5b-a518-163c27c01101","external_id":"ff27b3f5-a00f-4258-b4c6-8f41c7c06bf0","ibn":null,"question_id":"620abf36","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":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"If 5 left parenthesis x plus 4 right parenthesis equals 4 left parenthesis x plus 4 right parenthesis plus 29 , what is the value of x plus 4 ?","stimulus":"","stimulus_html":null,"stem_html":"<p>If <math alttext=\"5 left parenthesis x plus 4 right parenthesis equals 4 left parenthesis x plus 4 right parenthesis plus 29\"><mrow><mn>5</mn></mrow><mfenced><mrow><mi>x</mi><mo>+</mo><mrow><mn>4</mn></mrow></mrow></mfenced><mo>=</mo><mrow><mn>4</mn></mrow><mfenced><mrow><mi>x</mi><mo>+</mo><mrow><mn>4</mn></mrow></mrow></mfenced><mo>+</mo><mrow><mn>29</mn></mrow></math>, what is the value of <math alttext=\"x plus 4\"><mi>x</mi><mo>+</mo><mrow><mn>4</mn></mrow></math>?</p>","rationale_html":"<p style=\"text-align: left;\">Choice C is correct. Subtracting <math alttext=\"4 left parenthesis x plus 4 right parenthesis\"><mn>4</mn><mfenced><mrow><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfenced></math> from both sides of the given equation yields <math alttext=\"1 left parenthesis x plus 4 right parenthesis equals 29\"><mn>1</mn><mfenced><mrow><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfenced><mo>=</mo><mn>29</mn></math>, or <math alttext=\"x plus 4 equals 29\"><mrow>\n\t<mrow>\n\t\t<mi>x</mi>\n\t\t<mo>+</mo>\n\t\t<mn>4</mn>\n\t</mrow>\n\t<mo>=</mo>\n\t<mn>29</mn>\n</mrow>\n</math>. Therefore, the value of <math alttext=\"x plus 4\"><mrow>\n\t<mi>x</mi>\n\t<mo>+</mo>\n\t<mn>4</mn>\n</mrow>\n</math> is <math alttext=\"29\"><mn>29</mn>\n</math>.</p>\n<p style=\"text-align: left;\">Choice A is incorrect and may result from conceptual or calculation errors.</p>\n<p style=\"text-align: left;\">Choice B is incorrect. This is the value of <math alttext=\"x\"><mi>x</mi>\n</math>, not <math alttext=\"x plus 4\"><mrow>\n\t<mi>x</mi>\n\t<mo>+</mo>\n\t<mn>4</mn>\n</mrow>\n</math>.</p>\n<p style=\"text-align: left;\">Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["C"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.808000+00:00","source_updated_at":"2023-08-02T20:25:59.808000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"negative 4\"><mo>-</mo><mn>4</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"25\"><mn>25</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"29\"><mn>29</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"33\"><mn>33</mn>\n</math></p>","ord":3}],"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}}