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Algebraic Equations and Functions Flashcards

7 cards from real GRE 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 Equations and Functions flashcards as text

  1. If f(x) = 2x - 6, what is the value of x when f(x) = 0?

    Answer: 3

    2x - 6 = 0 gives 2x = 6, so x = 3.

  2. Solve for x: x² = 49.

    Answer: x = ±7

    Taking the square root of both sides gives x = 7 or x = -7.

  3. What is the vertex of the parabola f(x) = (x - 2)² + 3?

    Answer: (2, 3)

    In vertex form (x - h)² + k, the vertex is (h, k) = (2, 3).

  4. Simplify the expression: 4(x + 3) - 2(x - 1).

    Answer: 2x + 14

    Distributing gives 4x + 12 - 2x + 2 = 2x + 14.

  5. If 2^(x+1) = 16, what is x?

    Answer: 3

    Since 16 = 2⁴, x + 1 = 4 gives x = 3.

  6. A function f satisfies f(x) = 5x + b and f(2) = 13. What is b?

    Answer: 3

    5(2) + b = 13 gives 10 + b = 13, so b = 3.

  7. What is the solution to the proportion x/8 = 3/4?

    Answer: 6

    Cross-multiplying gives 4x = 24, so x = 6.