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Solving Linear Equations Flashcards

7 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 7 Solving Linear Equations flashcards as text
  1. Solve for x: 9x = 63

    Answer: x = 7

    Divide both sides by 9: x = 63 ÷ 9 = 7.

  2. Two circuits carry currents that sum to 30 amps. If one carries 6 more amps than the other, how many amps does the smaller circuit carry?

    Answer: 12 amps

    Let x = smaller; x + (x+6) = 30, so 2x = 24, x = 12 amps.

  3. Solve for x: 2x/5 = 8

    Answer: x = 20

    Multiply both sides by 5: 2x = 40, then divide by 2: x = 20.

  4. Solve for y: 4y - 3 = 2y + 7

    Answer: y = 5

    Subtract 2y: 2y - 3 = 7, add 3: 2y = 10, divide: y = 5.

  5. If 5(x - 1) = 20, what is x?

    Answer: x = 5

    Divide by 5: x - 1 = 4, then add 1: x = 5.

  6. A pipe runs 15 feet longer than half the total length of a trench. If the trench is 50 feet long, how long is the pipe?

    Answer: 40 feet

    Pipe = 50/2 + 15 = 25 + 15 = 40 feet.

  7. Solve for x: -5x + 10 = -15

    Answer: x = 5

    Subtract 10: -5x = -25, then divide by -5: x = 5.