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Algebraic Reasoning and Functions Flashcards

7 cards from real TSI 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 Reasoning and Functions flashcards as text

  1. Solve for x: 3(x - 4) = 2x + 5.

    Answer: x = 17

    Distribute to get 3x - 12 = 2x + 5, then x = 17.

  2. What is the slope of the line passing through (2, 3) and (6, 11)?

    Answer: 2

    Slope = (11 - 3)/(6 - 2) = 8/4 = 2.

  3. If f(x) = 2x^2 - 3x + 1, what is f(-2)?

    Answer: 15

    f(-2) = 2(4) - 3(-2) + 1 = 8 + 6 + 1 = 15.

  4. Factor completely: x^2 - 9.

    Answer: (x - 3)(x + 3)

    This is a difference of squares: x^2 - 9 = (x - 3)(x + 3).

  5. Solve the inequality: 2x - 5 < 7.

    Answer: x < 6

    Add 5 to both sides then divide by 2 to get x < 6.

  6. What is the y-intercept of the line y = -3x + 7?

    Answer: 7

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

  7. Simplify: (2x^3)(4x^2).

    Answer: 8x^5

    Multiply coefficients (2*4=8) and add exponents (3+2=5).