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Digital SAT Math Algebra Practice 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 Digital SAT Math Algebra Practice flashcards as text

  1. A system of equations is given: 2x + y = 7 and x − y = 2. What is the value of x + y?

    Answer: 4

    Adding both equations: 3x = 9, so x = 3. Substitute into x − y = 2: y = 1. Therefore x + y = 4.

  2. The function g is defined by g(x) = (x + 3)² − 4. For what value of x does g(x) reach its minimum?

    Answer: −3

    The vertex form (x + 3)² − 4 has its minimum at x = −3 (where the squared term equals zero).

  3. If f(x) = 3x − 2 and g(x) = x² + 1, what is f(g(2))?

    Answer: 13

    g(2) = 4 + 1 = 5. Then f(5) = 3(5) − 2 = 13.

  4. The graph of y = kx + 3 passes through the point (2, 9). What is the value of k?

    Answer: 3

    Substitute (2, 9): 9 = 2k + 3 → 2k = 6 → k = 3.

  5. Which of the following inequalities is equivalent to −3x + 6 ≤ 15?

    Answer: x ≥ −3

    Subtract 6: −3x ≤ 9. Divide by −3 (flip inequality): x ≥ −3.

  6. If a linear function passes through (0, −4) and has slope 2, at which x-value does it cross the x-axis?

    Answer: 2

    Equation: y = 2x − 4. Set y = 0: 2x − 4 = 0 → x = 2.

  7. If p and q are positive integers and 2p + 3q = 17, which of the following could be the value of p?

    Answer: 7

    If p = 7: 2(7) + 3q = 17 → 14 + 3q = 17 → 3q = 3 → q = 1, a positive integer.