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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 the quadratic equation: x² - 5x + 6 = 0.

    Answer: x = 2 or x = 3

    Factoring gives (x - 2)(x - 3) = 0, so x = 2 or x = 3.

  2. Simplify: (2x + 3)².

    Answer: 4x² + 12x + 9

    (2x + 3)² = 4x² + 2(2x)(3) + 9 = 4x² + 12x + 9.

  3. Three consecutive integers sum to 48. What is the largest one?

    Answer: 17

    Let the integers be n, n+1, n+2; 3n + 3 = 48 gives n = 15, so the largest is 17.

  4. What is the equation of a line with slope 4 and y-intercept -1?

    Answer: y = 4x - 1

    Slope-intercept form y = mx + b gives y = 4x - 1.

  5. Simplify the rational expression: (x² - 4)/(x - 2).

    Answer: x + 2

    Factor the numerator to (x - 2)(x + 2) and cancel (x - 2), leaving x + 2.

  6. Solve for x: 7 - 2x = 1.

    Answer: x = 3

    Subtract 7 to get -2x = -6, then divide by -2 to get x = 3.

  7. A number n is doubled and then increased by 5, giving 21. What is n?

    Answer: 8

    2n + 5 = 21 gives 2n = 16, so n = 8.