Free ACT Math Question and Answers 2

Question 1

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

Accepted Answer

4

Answer

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

Question 2

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

Accepted Answer

15

Answer

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

Question 3

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

Accepted Answer

12 square units

Answer

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

Question 4

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

Accepted Answer

1 ≤ x ≤ 5

Answer

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

Question 5

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

Accepted Answer

12% increase

Answer

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

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