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TSI - Texas Success Initiative Algebraic Reasoning and Functions Questions and Answers 2 Flashcards

6 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 6 TSI - Texas Success Initiative Algebraic Reasoning and Functions Questions and Answers 2 flashcards as text

  1. Solve for x: 3x - 7 = 2x + 5

    Answer: x = 12

    Subtract 2x from both sides: x - 7 = 5. Add 7 to both sides: x = 12.

  2. Which of the following is the solution set of the inequality 2x + 3 > 11?

    Answer: x > 4

    Subtract 3 from both sides: 2x > 8. Divide both sides by 2: x > 4.

  3. What is the vertex of the parabola y = x² - 6x + 8?

    Answer: (3, -1)

    Complete the square or use h = -b/(2a) = 6/2 = 3. Then y = 9 - 18 + 8 = -1. Vertex is (3, -1).

  4. A function f(x) = 2x + 1. What is f(f(3))?

    Answer: 15

    First evaluate f(3) = 2(3) + 1 = 7. Then f(7) = 2(7) + 1 = 15.

  5. Solve the system: x + y = 6 and x - y = 2.

    Answer: x = 4, y = 2

    Add the two equations: 2x = 8, so x = 4. Substitute back: 4 + y = 6, so y = 2.

  6. Which expression is equivalent to (x + 3)(x - 5)?

    Answer: x² - 2x - 15

    Use FOIL: x·x = x², x·(-5) = -5x, 3·x = 3x, 3·(-5) = -15. Combine: x² - 2x - 15.