Practice Test GeeksTSI Practice Test
← All TSI Flashcard Decks

TSI - Texas Success Initiative Algebraic Reasoning and Functions Questions and Answers 3 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 3 flashcards as text

  1. What are the solutions to x² - 5x + 6 = 0?

    Answer: x = 2 and x = 3

    Factor: (x - 2)(x - 3) = 0. Setting each factor equal to zero gives x = 2 or x = 3.

  2. If f(x) = x² + 4 and g(x) = 3x, what is (f ∘ g)(2)?

    Answer: 40

    First evaluate g(2) = 3(2) = 6. Then f(6) = 36 + 4 = 40.

  3. Which value of x satisfies |2x - 4| = 10?

    Answer: x = 7 or x = -3

    Set up two cases: 2x - 4 = 10 → x = 7, and 2x - 4 = -10 → 2x = -6 → x = -3.

  4. A line passes through (2, 5) and (4, 11). What is the slope of the line?

    Answer: 3

    Slope = (11 - 5) / (4 - 2) = 6 / 2 = 3.

  5. Simplify: (3x²y)(4xy³)

    Answer: 12x³y⁴

    Multiply coefficients: 3 × 4 = 12. Add exponents of like bases: x²·x = x³, y·y³ = y⁴. Result: 12x³y⁴.

  6. Which of the following represents a function?

    Answer: {(1,2), (3,4), (5,6)}

    A function assigns exactly one output for each input. Only {(1,2),(3,4),(5,6)} has unique x-values for each pair.