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

3 more than 8 times a number $x$ is equal to 83. Which equation represents this situation?

","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-algebra-multiple-choice-question-79"}],"about":{"@type":"Thing","name":"Math, Algebra, Duplicate"},"educationalLevel":"intermediate","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","assesses":["Math","Algebra","Duplicate"],"name":"

3 more than 8 times a number $x$ is equal to 83. Which equation represents this situation?

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

Choice D is correct. The given phrase \"8 times a number $x$\" can be represented by the expression $8x$. The given phrase \"3 more than\" indicates an increase of 3 to a quantity. Therefore \"3 more than 8 times a number $x$\" can be represented by the expression $8x+3$. Since it's given that 3 more than 8 times a number $x$ is equal to 83, it follows that $8x+3$ is equal to 83, or $8x+3=83$. Therefore, the equation that represents this situation is $8x+3=83$.

Choice A is incorrect. This equation represents 3 times the quantity 8 times a number $x$ is equal to 83

Choice B is incorrect. This equation represents 8 times a number $x$ is equal to 3 more than 83.

Choice C is incorrect. This equation represents 8 more than 3 times a number $x$ is equal to 83.

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

3 more than 8 times a number $x$ is equal to 83. Which equation represents this situation?

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

$(3)(8)x=83$

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

$8x=83+3$

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

$3x+8=83$

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

$8x+3=83$

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

Choice A is incorrect. This equation represents 3 times the quantity 8 times a number $x$ is equal to 83

Choice B is incorrect. This equation represents 8 times a number $x$ is equal to 3 more than 83.

Choice C is incorrect. This equation represents 8 more than 3 times a number $x$ is equal to 83.

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

Choice A is incorrect. This equation represents 3 times the quantity 8 times a number $x$ is equal to 83

Choice B is incorrect. This equation represents 8 times a number $x$ is equal to 3 more than 83.

Choice C is incorrect. This equation represents 8 more than 3 times a number $x$ is equal to 83.

"}}},"url":"https://classnotes.xyz/mcqs/sat-math-algebra-multiple-choice-question-79"}