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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: 4x + 9 = 29

    Answer: x = 5

    Subtract 9 from both sides: 4x = 20, then divide by 4: x = 5.

  2. If a wire is cut into two pieces where one piece is twice as long as the other and the total length is 48 feet, how long is the shorter piece?

    Answer: 16 feet

    Let x = shorter piece; x + 2x = 48, so 3x = 48, x = 16 feet.

  3. Solve for x: 7 - 2x = 3

    Answer: x = 2

    Subtract 7 from both sides: -2x = -4, then divide by -2: x = 2.

  4. Solve for t: t/3 - 4 = 2

    Answer: t = 18

    Add 4 to both sides: t/3 = 6, then multiply by 3: t = 18.

  5. An electrician charges a $75 service fee plus $45 per hour. A customer is billed $255. How many hours did the job take?

    Answer: 4 hours

    Set up 45h + 75 = 255, so 45h = 180, h = 4 hours.

  6. Solve for x: 6x - 4 = 2x + 12

    Answer: x = 4

    Subtract 2x: 4x - 4 = 12, add 4: 4x = 16, divide: x = 4.

  7. Solve for m: 3(m - 2) = 15

    Answer: m = 7

    Divide by 3: m - 2 = 5, then add 2: m = 7.