{"id":"cb_practice_pdf:t7-math-m1-q7","source_id":"cb_practice_pdf","source_item_id":"t7-math-m1-q7","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"spr","answer_source":"rationale","layout_warning":null,"form_id":"cb_practice_pdf:test-7","module_number":1,"position":7,"stem":"- -_is_an -_x-coordinate_of_an_x-intercept_of_the - - - - - - - What = 3(x−14)(x+5)(x+4) graph of y in the xy-plane?","stimulus":"","stimulus_html":null,"stem_html":"<p>- -_is_an -_x-coordinate_of_an_x-intercept_of_the - - - - - - - What = 3(x−14)(x+5)(x+4) graph of y in the xy-plane?</p>","rationale_html":"<p>14 - - The correct answer is either , 5, or 4. The x-intercepts of a graph in the xy-plane are the points at which the graph intersects the x-axis, or when the value of y is 0. Substituting 0 for y in the given equation yields 0=3 -14 +5 +4 ^x h^x h^hx . Dividing both sides of this equation by 3 yields 0= -14 +5 +4 ^x h^x h^hx . Applying the zero product property to this equation -14=0 +5=0 +4=0 14 yields three equations: x , x , and x . Adding to both -14=0 =14 sides of the equation x yields x , subtracting 5 from both sides of +5=0 =- the equation x yields x 5, and subtracting 4 from both sides of the +4=0 =- equation x yields x 4. Therefore, the x-coordinates of the x-intercepts 14 - - of the graph of the given equation are , 5, and 4. Note that 14, -5, and -4 are examples of ways to enter a correct answer. 32 SAT PRACTICE TEST #7 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1</p>","correct_answer":["5","4"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}