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Algebraic Concepts & Applications Flashcards

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

Read the first 7 Algebraic Concepts & Applications flashcards as text

  1. Solve for y: y/3 + 4 = 10.

    Answer: y = 18

    Subtract 4 to get y/3 = 6, then multiply by 3 to get y = 18.

  2. Expand: (x + 5)(x - 2).

    Answer: x² + 3x - 10

    Using FOIL: x² - 2x + 5x - 10 = x² + 3x - 10.

  3. A rectangle has length 2x and width x + 3. What is its perimeter in terms of x?

    Answer: 6x + 6

    Perimeter = 2(2x) + 2(x + 3) = 4x + 2x + 6 = 6x + 6.

  4. Solve for x: x² = 49.

    Answer: x = ±7

    Taking the square root of both sides gives x = 7 or x = -7.

  5. Simplify: (12x⁵)/(4x²).

    Answer: 3x³

    Divide coefficients (12/4 = 3) and subtract exponents (5 - 2 = 3) for 3x³.

  6. If 5(x - 2) = 3x + 4, what is x?

    Answer: x = 7

    5x - 10 = 3x + 4 gives 2x = 14, so x = 7.

  7. What is the value of the expression 3a + 2b when a = 4 and b = -3?

    Answer: 6

    3(4) + 2(-3) = 12 - 6 = 6.