{"id":"cb_question_bank:294d9e93-77d5-4358-9029-df59408725f6","source_id":"cb_question_bank","source_item_id":"294d9e93-77d5-4358-9029-df59408725f6","external_id":"affdca44-b865-4102-a2b3-d54b3337bd47","ibn":null,"question_id":"83f2c3bf","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.C.","skill":"Linear equations in two variables","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"y equals x plus 4 Which table gives three values of x and their corresponding values of y for the given equation?","stimulus":"","stimulus_html":null,"stem_html":"

\n\ty\n\t=\n\t\n\t\tx\n\t\t+\n\t\t4\n\t\n\n

\n

Which table gives three values of x\n and their corresponding values of y\n for the given equation?

","rationale_html":"

Choice A is correct. Substituting 0\n for x\n into the given equation yields y=0+4, or \n\ty\n\t=\n\t4\n\n. Therefore, when \n\tx\n\t=\n\t0\n\n, the corresponding value of y\n for the given equation is 4\n. Substituting 1\n for x\n into the given equation yields y=1+4, or \n\ty\n\t=\n\t5\n\n. Therefore, when \n\tx\n\t=\n\t1\n\n, the corresponding value of y\n for the given equation is 5\n. Substituting 2\n for x\n into the given equation yields y=2+4, or \n\ty\n\t=\n\t6\n\n. Therefore, when \n\tx\n\t=\n\t2\n\n, the corresponding value of y\n for the given equation is 6\n. Of the choices given, only the table in choice A gives these three values of x\n and their corresponding values of y\n for the given equation.

\n

Choice B is incorrect. This table gives three values of x\n and their corresponding values of y\n for the equation \n\ty\n\t=\n\t\n\t\t\n\t\t\t-\n\t\t\tx\n\t\t\n\t\t+\n\t\t6\n\t\n\n.

\n

Choice C is incorrect. This table gives three values of x\n and their corresponding values of y\n for the equation \n\ty\n\t=\n\t\n\t\t\n\t\t\t-\n\t\t\tx\n\t\t\n\t\t+\n\t\t2\n\t\n\n.

\n

Choice D is incorrect. This table gives three values of x\n and their corresponding values of y\n for the equation \n\ty\n\t=\n\tx\n\n.

","correct_answer":["A"],"has_media":false,"has_mathml":true,"has_table":true,"source_created_at":"2023-08-02T20:25:59.815000+00:00","source_updated_at":"2023-08-02T20:25:59.815000+00:00","options":[{"label":"A","content_html":"
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
x\ny\n
0\n4\n
1\n5\n
2\n6\n
","ord":0},{"label":"B","content_html":"
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
x\ny\n
0\n6\n
1\n5\n
2\n4\n
","ord":1},{"label":"C","content_html":"
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
x\ny\n
0\n2\n
1\n1\n
2\n0\n
","ord":2},{"label":"D","content_html":"
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
x\ny\n
0\n0\n
1\n1\n
2\n2\n
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