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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 system: x + y = 10 and x - y = 4.

    Answer: x = 7, y = 3

    Adding the equations gives 2x = 14, so x = 7 and y = 3.

  2. Factor: x² + 7x + 12.

    Answer: (x + 3)(x + 4)

    Find two numbers that multiply to 12 and add to 7: 3 and 4.

  3. A car rental costs $30 plus $0.20 per mile. Which expression gives the cost for m miles?

    Answer: 30 + 0.20m

    The flat fee is $30 and the per-mile charge is 0.20m, totaling 30 + 0.20m.

  4. Simplify: 2(3x - 1) - (x + 4).

    Answer: 5x - 6

    6x - 2 - x - 4 = 5x - 6.

  5. What is the y-intercept of the line y = -2x + 7?

    Answer: 7

    In slope-intercept form y = mx + b, the y-intercept b is 7.

  6. Solve for x: (x + 2)/4 = 3.

    Answer: x = 10

    Multiply both sides by 4 to get x + 2 = 12, then subtract 2 for x = 10.

  7. If the square root of x equals 6, what is x?

    Answer: 36

    Squaring both sides gives x = 6² = 36.