{"id":"cb_question_bank:56a86147-95c9-4989-8d6b-6713f62d6319","source_id":"cb_question_bank","source_item_id":"56a86147-95c9-4989-8d6b-6713f62d6319","external_id":null,"ibn":"11158-DC","question_id":"ed92fb68","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.D.","skill":"Systems of two linear equations in two variables","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"If the system of equations above has solution the ordered pair x comma y , what is the value of x plus y ?","stimulus":"4 x plus 5 y, equals 100, and, 5 x plus 4 y, equals 62","stimulus_html":"<div class=\"stimulus_reference \">\n        <p class=\"standalone_statement style:1 \">\n          <span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/884adefe2170d29bf2f9dac4c2a3f7a8ea79fe2171ae3eb5c29fe3aaf63f06ec\" alt=\"4 x plus 5 y, equals 100, \nand, \n5 x plus 4 y, equals 62\n\"></span></span>\n        </p>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">If the system of equations above has solution <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/057e200d3c63fad8e09cdb26b2c6eba6928070fc357775850da3c008e193a433\" alt=\"the ordered pair x comma y \"></span></span>, what is the value of <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/fe8223db9ce4beeb871b0dcdb2aa67c49e1ad6f67c3c8789a63794e215fcf6ba\" alt=\"x plus y\"></span></span> ?</p>\n","rationale_html":"<p>Choice C is correct. Adding the given equations yields 9<span class=\"italic\">x</span> + 9<span class=\"italic\">y</span> = 162. Dividing each side of the equation 9<span class=\"italic\">x</span> + 9<span class=\"italic\">y</span> = 162 by 9 gives <span class=\"italic\">x</span> + <span class=\"italic\">y</span> = 18.</p><p>Choice A is incorrect and may result from incorrectly adding the equations. Choice&nbsp;B is incorrect and may result from conceptual or computational errors. Choice D is incorrect. This value is equivalent to <span class=\"italic\">y</span> – <span class=\"italic\">x.</span></p><p></p>\n","correct_answer":["C"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.638000+00:00","source_updated_at":"2023-08-02T20:25:59.638000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">0</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">9</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">18</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">38</p>\n","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}}