Question Bank / Math / Equivalent Expressions

Equivalent expressions SAT question

Math · Advanced Math · Medium · Answer it here, explanation included.

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?

ExplanationShow

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.

Drill this skill on Aceit

Adaptive practice, a daily plan, and score tracking take a free account so we can save your work.

Practice this skill

More Equivalent expressions questions