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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) = 3x - 7, what is f(4)?

    Answer: 5

    Substitute x = 4: 3(4) - 7 = 12 - 7 = 5.

  2. Solve for x: 2x + 5 = 17.

    Answer: 6

    Subtract 5 to get 2x = 12, then divide by 2 to get x = 6.

  3. If g(x) = x² + 2x, what is g(-3)?

    Answer: 3

    g(-3) = (-3)² + 2(-3) = 9 - 6 = 3.

  4. What is the slope of the line 4x - 2y = 8?

    Answer: 2

    Solve for y: y = 2x - 4, so the slope is 2.

  5. If 5(x - 2) = 3x + 4, what is x?

    Answer: 7

    Expanding gives 5x - 10 = 3x + 4, so 2x = 14 and x = 7.

  6. Which value of x makes the expression (x - 4)/(x + 2) undefined?

    Answer: -2

    A fraction is undefined when its denominator is zero, so x + 2 = 0 gives x = -2.

  7. If h(x) = 2x + 1 and h(a) = 9, what is a?

    Answer: 4

    2a + 1 = 9 gives 2a = 8, so a = 4.

Algebraic Equations and Functions Flashcards — GRE Study Cards with Answers