ACT Practice Questions — All Questions

Solve for x: 3x + 7 = 22.

• a.3
• b.7
• c.5✓
• d.29

Subtract 7 from both sides to get 3x = 15, then divide both sides by 3 to get x = 5. Check: 3(5) + 7 = 15 + 7 = 22.

Solve for x: 2(x - 3) = 10.

• a.2
• b.5
• c.11
• d.8✓

Divide both sides by 2 to get x - 3 = 5, then add 3 to both sides to get x = 8. Check: 2(8 - 3) = 2(5) = 10.

If f(x) = 2x^2 - 3, what is f(4)?

• a.29✓
• b.13
• c.5
• d.61

Substitute x = 4: 2(4)^2 - 3 = 2(16) - 3 = 32 - 3 = 29. Squaring must be done before multiplying by 2.

What is the slope of the line passing through the points (2, 3) and (6, 11)?

• a.4
• b.2✓
• c.1/2
• d.3

Slope equals the change in y over the change in x: (11 - 3) / (6 - 2) = 8 / 4 = 2.

20% of a certain number is 15. What is the number?

• a.3
• b.30
• c.75✓
• d.300

Let the number be n. Then 0.20 * n = 15, so n = 15 / 0.20 = 75. Check: 20% of 75 = 0.20 * 75 = 15.