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Basic Algebra and Equations Flashcards

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

Read the first 7 Basic Algebra and Equations flashcards as text

  1. Solve for k: 9 - 2k = 3

    Answer: 3

    Subtracting 9 from both sides: -2k = -6 → k = 3.

  2. A wire is cut into two pieces. One piece is 4 times longer than the other. The total length is 60 m. How long is the shorter piece?

    Answer: 12 m

    Let shorter = x; x + 4x = 60 → 5x = 60 → x = 12 m.

  3. Evaluate 2x² - x when x = 3.

    Answer: 15

    2(3²) - 3 = 2(9) - 3 = 18 - 3 = 15.

  4. An elevator pit has depth d. If d + 1.2 = 2.7 m, what is d?

    Answer: 1.5 m

    d = 2.7 - 1.2 = 1.5 m.

  5. If 3x + 2y = 22 and x = 4, find y.

    Answer: 5

    3(4) + 2y = 22 → 12 + 2y = 22 → 2y = 10 → y = 5.

  6. Solve for x: (x + 3)/4 = 5

    Answer: 17

    Multiplying both sides by 4: x + 3 = 20 → x = 17.

  7. A hoisting motor uses P kilowatts. After adding a 3 kW auxiliary load the total is 15 kW. Find P.

    Answer: 12 kW

    P + 3 = 15 → P = 12 kW.