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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. Two resistors of 6Ω and 3Ω are connected in parallel. Using the formula 1/R_total = 1/R₁ + 1/R₂, what is the total resistance?

    Answer: 2 Ω

    1/R = 1/6 + 1/3 = 1/6 + 2/6 = 3/6 = 1/2. R = 2 Ω.

  2. If a line has slope 3 and passes through point (1, 4), what is its equation in slope-intercept form?

    Answer: y = 3x + 1

    y - 4 = 3(x - 1) → y = 3x - 3 + 4 → y = 3x + 1.

  3. Solve the system of equations: 2x + y = 11 and x - y = 1. What is y?

    Answer: 3

    Add: 3x = 12 → x = 4. Then y = x - 1 = 3.

  4. The power formula is P = I²R. If current I = 3A and resistance R = 8Ω, what is the power?

    Answer: 72 W

    P = I²R = (3)² × 8 = 9 × 8 = 72 W.

  5. Solve: √(x + 5) = 4

    Answer: x = 11

    Square both sides: x + 5 = 16. x = 11.

  6. A ladder leans against a wall. The base is 6 feet from the wall and the ladder is 10 feet long. Using a² + b² = c², how high does it reach?

    Answer: 8 feet

    6² + h² = 10² → 36 + h² = 100 → h² = 64 → h = 8 feet.