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Test
Math
Domain
Advanced Math
Skill
Equivalent expressions
Difficulty
Easy
ID: 9ed9f54d
Modded SAT Question Bank by Abdullah Mallik

Which of the following is equivalent to 2 times, open parenthesis, x squared minus x, close parenthesis, plus 3 times, open parenthesis, x squared minus x, close parenthesis ?

  1. 5 x squared, minus 5 x

  2. 5 x squared, plus 5 x

  3. 5x

  4. 5x2

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Correct Answer: A
Rationale

Choice A is correct. Since open parenthesis, x squared, minus x, close parenthesis is a common term in the original expression, like terms can be added: 2 times, open parenthesis, x squared, minus x, close parenthesis, plus, 3 times, open parenthesis, x squared, minus x, close parenthesis, equals, 5 times, open parenthesis, x squared, minus x, close parenthesis. Distributing the constant term 5 yields 5 x squared, minus 5 x.

Choice B is incorrect and may result from not distributing the negative signs in the expressions within the parentheses. Choice C is incorrect and may result from not distributing the negative signs in the expressions within the parentheses and from incorrectly eliminating the x squared-term. Choice D is incorrect and may result from incorrectly eliminating the x-term.

Question Difficulty: Easy
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