Practice Test Geeks(TSIA2) Texas Success Initiative Assessment 2.0 Practice Test
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Algebra Fundamentals Flashcards

7 cards from real TSIA2 practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Algebra Fundamentals flashcards as text

  1. What is the range of the function f(x) = x² + 3 for all real x?

    Answer: y ≥ 3

    Since x² ≥ 0 for all real x, the minimum value of f(x) is 0 + 3 = 3.

  2. Solve for x: (x/3) + (x/6) = 5

    Answer: x = 10

    Multiply through by 6: 2x + x = 30, so 3x = 30 and x = 10.

  3. Which set of ordered pairs represents a function?

    Answer: {(2,3),(3,3),(4,3)}

    In {(2,3),(3,3),(4,3)}, each x-value appears only once, satisfying the definition of a function.

  4. Factor completely: 6x² - 12x

    Answer: 6x(x - 2)

    The GCF is 6x, giving 6x(x - 2) as the fully factored form.

  5. A number is increased by 40% and the result is 98. What is the original number?

    Answer: 70

    Let n be the original: 1.40n = 98, so n = 98 / 1.40 = 70.

  6. What is the x-intercept of the line y = -2x + 6?

    Answer: (3, 0)

    Set y = 0: 0 = -2x + 6, so 2x = 6 and x = 3; the x-intercept is (3, 0).

  7. Using the quadratic formula, which values of x solve 2x² - 5x - 3 = 0?

    Answer: x = 3 or x = -1/2

    Using the quadratic formula with a=2, b=-5, c=-3: x = (5 ± √(25+24))/4 = (5 ± 7)/4, giving x = 3 or x = -1/2.