Free SAT Equivalent Expressions Mock

Let’s solve the fancy math twin-Equivalent Expressions and ace SAT math! Take a quick SAT practice test on Equivalent Expressions to level up your skills, tackle tougher problems, and discover your strengths.

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Algebra Expressions Quiz

Equivalent Expressions

Which expression is equivalent to 3x³ − 2x?

A 3x(x² - 2) B 2x(3x² - 1) C x(3x² - 2) D x²(3x - 2)

Which of the following is equivalent to the expression x² − 4x + 1?

A (x - 2)² + 3 B (x - 2)² - 3 C (x + 2)² + 3 D (x + 2)² - 3

Which expression is equivalent to (a¹²b⁻⁶c¹⁸)³, where a, b, and c are positive constants?

A a¹⁸ b⁻⁹ c²⁷ B a⁸ b⁻⁴ c¹² C a²¹⁶ b⁻²⁷ c⁷²⁹ D a⁶ b⁻³ c⁹

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How to solve questions from Equivalent Expressions?

Pick Numbers Strategy

Plug in simple values for variables in both the original and answer choices to quickly check for equivalence

Distribute and Simplify

Carefully distribute coefficients and combine like terms to rewrite the expression in a simpler, equivalent form

Check All Values

Remember, expressions are only equivalent if they yield the same result for every possible variable value, not just one

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Why Equivalent Expressions matter for SAT?

EdisonOS conducted a detailed Bluebook analysis to help tutors design SAT tests mirroring official Bluebook test challenges. Findings show Advanced Math dominates SAT Math after algebra, and Equivalent Expressions share 2-4 questions making all Advanced Math topics essential for students to include in their study plan.

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Avoid These Common Mistakes In Equivalent Expressions!

Forgetting Distribution

Students often miss distributing coefficients to every term inside parentheses

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Sign Errors

Incorrectly handling positive and negative signs during distribution leads to wrong answers

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Only Testing Once

Testing just one variable value can be misleading if expressions accidentally match at that point but are not truly equivalent

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Ignoring Like Terms

Failing to combine like terms after distributing can leave expressions un-simplified and incorrect

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