{"@context":"https://schema.org/","@type":"Quiz","name":"

Which expression is equivalent to $\\frac{8x(x-7)-3(x-7)}{2x-14}$, where $x>7$?

","hasPart":{"@type":"Question","typicalAgeRange":"12-22","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"SAT"},{"@type":"AlignmentObject","alignmentType":"educationalLevel","targetName":"SAT","educationalFramework":"Common Core","targetUrl":"https://classnotes.xyz/mcqs/sat-math-advanced-math-multiple-choice-question-3"}],"about":{"@type":"Thing","name":"Math, Advanced Math, Duplicate"},"educationalLevel":"intermediate","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","assesses":["Math","Advanced Math","Duplicate"],"name":"

Which expression is equivalent to $\\frac{8x(x-7)-3(x-7)}{2x-14}$, where $x>7$?

","comment":{"@type":"Comment","text":"

Choice B is correct. The given expression has a common factor of 2 in the denominator, so the expression can be rewritten as $\\frac{8x(x-7)-3(x-7)}{2(x-7)}$. The three terms in this expression have a common factor of $(x-7)$. Since it's given that $x>7$, $x$ can't be equal to 7, which means $(x-7)$ can't be equal to 0. Therefore, each term in the expression, $\\frac{8x(x-7)-3(x-7)}{2(x-7)}$, can be divided by $(x-7)$, which gives $\\frac{8x-3}{2}$.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors

"},"encodingFormat":"text/markdown","text":"

Which expression is equivalent to $\\frac{8x(x-7)-3(x-7)}{2x-14}$, where $x>7$?

","suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/html","text":"

$\\frac{x-7}{5}$

"},{"@type":"Answer","position":2,"encodingFormat":"text/html","text":"

$\\frac{8x^{2}-3x-14}{2x-14}$

"},{"@type":"Answer","position":3,"encodingFormat":"text/html","text":"

$\\frac{8x^{2}-3x-77}{2x-14}$

"}],"acceptedAnswer":{"@type":"Answer","position":1,"encodingFormat":"text/html","text":"

$\\frac{8x-3}{2}$

","comment":{"@type":"Comment","text":"

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors

"},"answerExplanation":{"@type":"Comment","text":"

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors

"}}},"url":"https://classnotes.xyz/mcqs/sat-math-advanced-math-multiple-choice-question-3"}

Which expression is equivalent to $\frac{8x(x-7)-3(x-7)}{2x-14}$, where $x>7$?