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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: 3x - 7 = 14

    Answer: x = 7

    Add 7 to both sides: 3x = 21, then divide by 3: x = 7.

  2. An electrician earns $28 per hour plus a $50 flat fee per job. If she earned $330 on a job, how many hours did she work?

    Answer: 10 hours

    Set up 28h + 50 = 330, so 28h = 280, giving h = 10 hours.

  3. Solve for y: 5y + 3 = 3y + 11

    Answer: y = 4

    Subtract 3y from both sides: 2y + 3 = 11, then subtract 3 and divide: y = 4.

  4. If 2(x + 4) = 18, what is x?

    Answer: x = 5

    Divide both sides by 2: x + 4 = 9, then subtract 4: x = 5.

  5. Solve for x: x/4 + 6 = 10

    Answer: x = 16

    Subtract 6 from both sides: x/4 = 4, then multiply by 4: x = 16.

  6. A conduit requires two sections. One section is 3 feet longer than the other, and together they total 21 feet. How long is the shorter section?

    Answer: 9 feet

    Let x = shorter; x + (x+3) = 21, so 2x = 18, x = 9 feet.

  7. Solve for n: -3n = 24

    Answer: n = -8

    Divide both sides by -3: n = 24 ÷ (-3) = -8.