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Free ACT Math Question and Answers 2 Flashcards

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

Read the first 6 Free ACT Math Question and Answers 2 flashcards as text

  1. What is the value of |−15 + 8| − |−3|?

    Answer: 4

    |−15 + 8| = |−7| = 7. |−3| = 3. 7 − 3 = 4.

  2. If f(x) = 2x² − 3x + 1, what is f(−2)?

    Answer: 15

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

  3. A triangle has vertices at A(0,0), B(6,0), and C(3,4). What is its area?

    Answer: 12 square units

    Base AB = 6 units (along x-axis). Height = 4 units (y-coordinate of C). Area = ½ × 6 × 4 = 12 square units.

  4. What is the solution set of |2x − 6| ≤ 4?

    Answer: 1 ≤ x ≤ 5

    |2x − 6| ≤ 4 → −4 ≤ 2x − 6 ≤ 4. Add 6: 2 ≤ 2x ≤ 10. Divide by 2: 1 ≤ x ≤ 5.

  5. A store marks up items by 40%, then offers a 20% sale discount. What is the net percent change from the original price?

    Answer: 12% increase

    Markup: 1.40 × original. Discount: 0.80 × 1.40 × original = 1.12 × original. Net result: 12% increase over original price.

  6. In the standard (x,y) coordinate plane, what is the equation of a circle with center (−2, 3) and radius 5?

    Answer: (x + 2)² + (y − 3)² = 25

    Standard circle equation: (x − h)² + (y − k)² = r². Center (−2, 3) means h = −2, k = 3. Radius 5 means r² = 25. Equation: (x − (−2))² + (y − 3)² = 25 → (x + 2)² + (y − 3)² = 25.