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Equivalent Expressions Flashcards

7 cards from real Bluebook SAT Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. Which of the following is equivalent to (x + 3)(x − 5)?

    Answer: x² − 2x − 15

    Using FOIL: x² − 5x + 3x − 15 = x² − 2x − 15.

  2. Which expression is equivalent to 3x² − 12x?

    Answer: 3x(x − 4)

    Factor out the GCF of 3x: 3x² − 12x = 3x(x − 4).

  3. Which of the following is equivalent to (2x − 3)²?

    Answer: 4x² − 12x + 9

    (2x − 3)² = (2x)² − 2(2x)(3) + 3² = 4x² − 12x + 9.

  4. Which expression is equivalent to (6x³y²)/(2x²y)?

    Answer: 3xy

    Divide coefficients: 6/2 = 3; subtract exponents: x³⁻² = x, y²⁻¹ = y; result = 3xy.

  5. Which of the following is equivalent to x² − 9?

    Answer: (x + 3)(x − 3)

    x² − 9 = x² − 3² is a difference of squares, which factors as (x + 3)(x − 3).

  6. Which expression is equivalent to (x² + 5x + 6)/(x + 2)?

    Answer: x + 3

    Factor the numerator: x² + 5x + 6 = (x + 2)(x + 3); cancel (x + 2): result = x + 3.

  7. Which of the following is equivalent to 5(2x − 3) − 2(x + 4)?

    Answer: 8x − 23

    Distribute: 10x − 15 − 2x − 8 = 8x − 23.