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Test
Math
Domain
Advanced Math
Skill
Equivalent expressions
Difficulty
Medium
ID: 7348f046
Modded SAT Question Bank by Abdullah Mallik

open parenthesis, 2 x plus 3, close parenthesis, minus, open parenthesis, x minus 7, close parenthesis

Which of the following is equivalent to the given expression?

  1. x minus 4

  2. 3 x minus 4

  3. x plus 10

  4. 2 x squared, plus 21

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Correct Answer: C
Rationale

Choice C is correct. Distributing the negative sign to the terms in the second parentheses yields open parenthesis, 2 x plus 3, close parenthesis, minus x, plus 7. This expression can be rewritten as 2 x minus x, plus 3, plus 7. Combining like terms results in x plus 10.

Choice A is incorrect and may result from not distributing the negative sign to the 7. Choice B is incorrect and may result from adding x minus 7 to 2 x plus 3 instead of subtracting x minus 7. Choice D is incorrect and may result from adding the product of 2 x and x to the product of 3 and 7.

Question Difficulty: Medium
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