Math · Advanced Math

    Equivalent Expressions

    Rewrite algebraic expressions without changing their value.

    What the SAT Tests

    Equivalent-expression questions test whether you can manipulate polynomial, rational, or radical expressions into a form that reveals a key feature (like a vertex, factor, or asymptote).

    Key Tips for Equivalent Expressions

    • Factor numerator and denominator of rational expressions before simplifying.
    • Complete the square to expose a vertex; factor to expose roots.
    • Test with a small integer if you're stuck choosing between equivalent forms.

    Sample Equivalent Expressions Questions

    These are real practice questions pulled from our Digital SAT bank. Try each one before reading the highlighted correct answer.

    1. Question 1 · Easy
      , what is the value of ?
      • A. 3
      • B. 67
      • C. 7Correct
      • D. 23
    2. Question 2 · Easy
      Which expression is equivalent to ?
      • A.
      • B. Correct
      • C.
      • D.
    3. Question 3 · Easy
      If , what is the value of ?
      • A. 6
      • B. 60
      • C. 120
      • D. 470Correct

    Practice Equivalent Expressions Questions

    Drill equivalent expressions questions in the Digital SAT Math question bank, or take a full-length practice module to see how this skill appears under test conditions.

    FAQs

    What is Equivalent Expressions on the Digital SAT?

    Equivalent-expression questions test whether you can manipulate polynomial, rational, or radical expressions into a form that reveals a key feature (like a vertex, factor, or asymptote).

    How hard are equivalent expressions questions?

    Equivalent Expressions questions appear at every difficulty level on the Digital SAT Math section. The hardest versions gate access to the top scaled scores in the hard Module 2.

    How do I practice equivalent expressions?

    Use the 1600.now question bank to filter for equivalent expressions questions, solve at least 20 in a row, and review every miss with the written explanation.

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