{"id":"cb_question_bank:c2cd1ecd-e898-41c6-bca9-5929a5b9e13f","source_id":"cb_question_bank","source_item_id":"c2cd1ecd-e898-41c6-bca9-5929a5b9e13f","external_id":"b5bc3c68-cf0b-420c-894c-67a87a23e1b4","ibn":null,"question_id":"029c2dc2","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.C.","skill":"Linear equations in two variables","difficulty":"E","score_band":3,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A teacher is creating an assignment worth 70 points. The assignment will consist of questions worth 1 point and questions worth 3 points. Which equation represents this situation, where x represents the number of 1 -point questions and y represents the number of 3 -point questions?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">A teacher is creating an assignment worth <math alttext=\"70\"><mn>70</mn>\n</math> points. The assignment will consist of questions worth <math alttext=\"1\"><mn>1</mn>\n</math> point and questions worth <math alttext=\"3\"><mn>3</mn>\n</math> points. Which equation represents this situation, where <math alttext=\"x\"><mi>x</mi>\n</math> represents the number of <math alttext=\"1\"><mn>1</mn>\n</math>-point questions and <math alttext=\"y\"><mi>y</mi>\n</math> represents the number of <math alttext=\"3\"><mn>3</mn>\n</math>-point questions?</p>","rationale_html":"<p style=\"text-align: left;\">Choice D is correct. Since <math alttext=\"x\"><mi>x</mi>\n</math> represents the number of <math alttext=\"1\"><mn>1</mn>\n</math>-point questions and <math alttext=\"y\"><mi>y</mi>\n</math> represents the number of <math alttext=\"3\"><mn>3</mn>\n</math>-point questions, the assignment is worth a total of <math alttext=\"1 dot x plus 3 dot y\"><mn>1</mn><mo>·</mo><mi>x</mi><mo>+</mo><mn>3</mn><mo>·</mo><mi>y</mi></math>, or&nbsp;<math alttext=\"x plus 3 y\"><mi>x</mi><mo>+</mo><mn>3</mn><mi>y</mi></math>, points. Since the assignment is worth <math alttext=\"70\"><mn>70</mn>\n</math> points, the equation <math alttext=\"x plus 3 y equals 70\"><mi>x</mi><mo>+</mo><mn>3</mn><mi>y</mi><mo>=</mo><mn>70</mn></math> represents this situation.</p>\n<p style=\"text-align: left;\">Choice A is incorrect and may result from conceptual errors.</p>\n<p style=\"text-align: left;\">Choice B is incorrect and may result from conceptual errors.</p>\n<p style=\"text-align: left;\">Choice C is incorrect and may result from conceptual errors.</p>","correct_answer":["D"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.813000+00:00","source_updated_at":"2023-08-02T20:25:59.813000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"4 x y equals 70\"><mrow>\n\t<mrow>\n\t\t<mn>4</mn>\n\t\t<mi>x</mi>\n\t\t<mi>y</mi>\n\t</mrow>\n\t<mo>=</mo>\n\t<mn>70</mn>\n</mrow>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"4 left parenthesis x plus y right parenthesis equals 70\"><mn>4</mn><mfenced><mrow><mi>x</mi><mo>+</mo><mi>y</mi></mrow></mfenced><mo>=</mo><mn>70</mn></math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"3 x plus y equals 70\"><mrow>\n\t<mrow>\n\t\t<mrow>\n\t\t\t<mn>3</mn>\n\t\t\t<mi>x</mi>\n\t\t</mrow>\n\t\t<mo>+</mo>\n\t\t<mi>y</mi>\n\t</mrow>\n\t<mo>=</mo>\n\t<mn>70</mn>\n</mrow>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"x plus 3 y equals 70\"><mrow>\n\t<mrow>\n\t\t<mi>x</mi>\n\t\t<mo>+</mo>\n\t\t<mrow>\n\t\t\t<mn>3</mn>\n\t\t\t<mi>y</mi>\n\t\t</mrow>\n\t</mrow>\n\t<mo>=</mo>\n\t<mn>70</mn>\n</mrow>\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}}