Practice Test GeeksBluebook SAT Practice Test
← All Bluebook SAT Test Flashcard Decks

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.

Read the first 7 Equivalent Expressions flashcards as text

  1. Which of the following is equivalent to (x − 2)(x² + 2x + 4)?

    Answer: x³ − 8

    This is the difference of cubes factored: (x−2)(x²+2x+4) = x³−2³ = x³−8.

  2. Which expression is equivalent to 18x³ − 12x² + 6x?

    Answer: 6x(3x² − 2x + 1)

    GCF is 6x; factoring out gives 6x(3x²−2x+1). The other options are incorrect or un-simplified.

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

    Answer: 40x

    Use a²−b² = (a+b)(a−b): a+b = (5x+2)+(5x−2)=10x, a−b = (5x+2)−(5x−2)=4; product = 40x.

  4. Which of the following is equivalent to (3x²y³)² / (9xy)?

    Answer: x³y⁵

    Numerator: (3x²y³)² = 9x⁴y⁶; divide by 9xy: 9x⁴y⁶/(9xy) = x³y⁵.

  5. Which expression is equivalent to (2x − 5)(2x + 5) + 25?

    Answer: 4x²

    (2x−5)(2x+5) = 4x²−25; add 25: 4x²−25+25 = 4x².

  6. Which of the following is equivalent to x^(3/2) / x^(1/2)?

    Answer: x

    Subtract exponents: 3/2 − 1/2 = 2/2 = 1, so the result is x¹ = x.

  7. Which of the following is equivalent to (x + h)² − x²?

    Answer: 2xh + h²

    Expand (x+h)² = x²+2xh+h²; subtract x² to get 2xh+h².