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Algebra and Functions Flashcards

6 cards from real IBEW practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Algebra and Functions flashcards as text

  1. Solve for x: 7x + 3 = 4x + 18

    Answer: x = 5

    7x - 4x = 18 - 3 → 3x = 15 → x = 5.

  2. What is the slope of the line passing through points (2, 5) and (6, 13)?

    Answer: 2

    Slope = (13-5)/(6-2) = 8/4 = 2.

  3. Solve the quadratic: x² - 7x + 10 = 0

    Answer: x = 2 or x = 5

    Factor: (x-2)(x-5) = 0 → x = 2 or x = 5.

  4. If f(x) = 2x² - 3x + 1, find f(-1).

    Answer: 6

    f(-1) = 2(-1)² - 3(-1) + 1 = 2 + 3 + 1 = 6.

  5. Solve the inequality: 3 - 2x ≤ 9

    Answer: x ≥ -3

    -2x ≤ 6 → x ≥ -3 (flip inequality when dividing by negative).

  6. What is the y-intercept of the line y = 4x - 7?

    Answer: -7

    The y-intercept is the constant term: -7 (set x = 0: y = 4(0) - 7 = -7).