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Test
Math
Domain
Advanced Math
Skill
Equivalent expressions
Difficulty
Medium
ID: 8838a672
Modded SAT Question Bank by Abdullah Mallik

open parenthesis, 4, x cubed, minus 5, x squared, plus 3, close parenthesis, minus, open parenthesis, 6, x cubed, plus 2, x squared, minus x, close parenthesis

Which of the following expressions is equivalent to the expression above?

  1. negative 10, x cubed, minus 3, x squared, plus x, plus 3

  2. negative 2, x cubed, minus 7, x squared, plus x, plus 3

  3. negative 2, x cubed, minus 3, x squared, plus x, plus 3

  4. 10, x cubed, minus 7, x squared, minus x, plus 3

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Correct Answer: B
Rationale

Choice B is correct. Using the distributive property, the given expression can be rewritten as 4 x cubed, minus 5 x squared, plus 3, minus 6 x cubed, minus 2 x squared, plus x. Combining like terms, this expression can be rewritten as open parenthesis, 4 minus 6, close parenthesis, times x cubed, plus, open parenthesis, negative 5 minus 2, close parenthesis, times x squared, plus x, plus 3, which is equivalent to negative 2 x cubed, minus 7 x squared, plus x, plus 3.

Choices A, C, and D are incorrect and may result from an error when applying the distributive property or an error when combining like terms.

Question Difficulty: Medium
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