SAT Math Multiple Choice Question 82: Answer and Explanation

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Question: 82

7. Which of the following is equivalent to (12x2 + 4x + 5y) + (3x2 - 2x + 3y) ?

  • A. 2x2 - 2x + 8y
  • B. 2x2 + 15x + 8y
  • C. 15x2 - 2x + 8y
  • D. 15x2 + 2x + 8y

Correct Answer: D

Explanation:

D Because the operation between the parentheses is addition, the parentheses can be removed, and the resulting expression becomes 12x2 + 4x + 5y + 3x2 - 2x + 3y. Reorder the terms so that like terms are next to each other: 12x2 + 3x2 + 4x - 2x + 5y + 3y. Combine like terms to get 15x2 + 2x + 8y. The correct answer is (D).

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