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College Readiness Math 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 College Readiness Math flashcards as text
  1. Which expression is equivalent to 3x² − 12x + 12?

    Answer: 3(x − 2)²

    Factor out 3 to get 3(x² − 4x + 4) = 3(x − 2)².

  2. A line passes through (−1, 4) and (3, −4). What is its slope?

    Answer: −2

    Slope = (−4 − 4) / (3 − (−1)) = −8/4 = −2.

  3. Solve for x: |2x − 5| = 9

    Answer: x = 7 or x = −2

    Set 2x − 5 = 9 (x = 7) and 2x − 5 = −9 (x = −2).

  4. What is the domain of f(x) = √(x − 3)?

    Answer: x ≥ 3

    The radicand must be non-negative, so x − 3 ≥ 0, giving x ≥ 3.

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

    Answer: 11

    g(2) = 4, then f(4) = 2(4) + 3 = 11.

  6. Which inequality represents all values of x such that 3 − 2x < 7?

    Answer: x > −2

    Subtract 3: −2x −2.

  7. A rectangle's length is 3 more than twice its width. If the perimeter is 36, what is the width?

    Answer: 5

    Let w = width, length = 2w + 3; 2(w + 2w + 3) = 36 → 6w + 6 = 36 → w = 5.