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Algebraic Expressions & Equations Flashcards

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

Read the first 7 Algebraic Expressions & Equations flashcards as text

  1. Which of the following is a factor of x² − 5x + 6?

    Answer: (x − 3)

    x² − 5x + 6 = (x − 2)(x − 3), so (x − 3) is a factor.

  2. If f(x) = 2x² − x + 4, what is f(−2)?

    Answer: 14

    f(−2) = 2(4) − (−2) + 4 = 8 + 2 + 4 = 14.

  3. Which equation has no real solution?

    Answer: x² + 4 = 0

    x² = −4 has no real solutions because a squared real number is never negative.

  4. Simplify: (6x³y²) ÷ (2xy⁵)

    Answer: 3x²/y³

    Divide coefficients (6÷2 = 3) and subtract exponents: x³⁻¹ = x², y²⁻⁵ = y⁻³ = 1/y³.

  5. The expression 9x² − 6x + 1 can be written as which perfect square?

    Answer: (3x − 1)²

    (3x − 1)² = 9x² − 6x + 1 matches exactly.

  6. If 2x + y = 10 and x − y = 2, what is the value of x?

    Answer: 4

    Adding the two equations eliminates y: 3x = 12, so x = 4.

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

    Answer: x² + 8x + 16

    (x + 4)² = x² + 2(4)(x) + 16 = x² + 8x + 16.

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