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Algebraic Concepts & Applications Flashcards

7 cards from real PERT 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 Concepts & Applications flashcards as text

  1. Solve for x: 3x - 7 = 2x + 5.

    Answer: x = 12

    Subtract 2x from both sides to get x - 7 = 5, then add 7 to get x = 12.

  2. Simplify: 4(2x - 3) + 5x.

    Answer: 13x - 12

    Distribute to get 8x - 12, then add 5x to get 13x - 12.

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

    Answer: 15

    f(-2) = 2(4) - 3(-2) + 1 = 8 + 6 + 1 = 15.

  4. Factor completely: x² - 9.

    Answer: (x - 3)(x + 3)

    This is a difference of squares, which factors as (x - 3)(x + 3).

  5. What is the slope of the line passing through (1, 2) and (4, 11)?

    Answer: 3

    Slope = (11 - 2)/(4 - 1) = 9/3 = 3.

  6. Solve the inequality: 2x + 3 < 11.

    Answer: x < 4

    Subtract 3 to get 2x < 8, then divide by 2 to get x < 4.

  7. Simplify the expression: (x³)(x⁴).

    Answer: x⁷

    When multiplying powers with the same base, add the exponents: 3 + 4 = 7.