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Math: Algebra Flashcards

7 cards from real ACT 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. If 3x + 7 = 22, what is the value of x?

    Answer: 5

    Subtract 7 from both sides to get 3x = 15, then divide by 3 to find x = 5.

  2. Which expression is equivalent to 2(x + 3) − 4x?

    Answer: −2x + 6

    Distribute to get 2x + 6 − 4x, then combine like terms to get −2x + 6.

  3. What are the solutions to x² − 5x + 6 = 0?

    Answer: x = 2 and x = 3

    Factor as (x − 2)(x − 3) = 0, giving x = 2 or x = 3.

  4. If 4x − 2y = 10 and x = 3, what is the value of y?

    Answer: 1

    Substitute x = 3 to get 12 − 2y = 10, then solve to find y = 1.

  5. What is the slope of the line passing through the points (2, 3) and (6, 11)?

    Answer: 2

    Slope = (y₂ − y₁)/(x₂ − x₁) = (11 − 3)/(6 − 2) = 8/4 = 2.

  6. Which values of x satisfy |2x − 4| = 6?

    Answer: x = −1 or x = 5

    Set 2x − 4 = 6 (giving x = 5) and 2x − 4 = −6 (giving x = −1).

  7. If f(x) = 3x² − 2x + 1, what is the value of f(2)?

    Answer: 9

    f(2) = 3(4) − 2(2) + 1 = 12 − 4 + 1 = 9.