ACT Math 2 — Questions and Answers
Question 1: If 3x - 7 = 2x + 5, what is the value of x?
- 12 (Correct answer)
- 2
- -2
- 6
Correct answer: 12
Subtract 2x from both sides to get x - 7 = 5, then add 7 to get x = 12.
Question 2: What is the slope of the line passing through the points (2, 3) and (6, 11)?
- 2 (Correct answer)
- 4
- 1/2
- 8
Correct answer: 2
Slope = (11 - 3)/(6 - 2) = 8/4 = 2.
Question 3: A right triangle has legs of length 5 and 12. What is the length of the hypotenuse?
- 13 (Correct answer)
- 17
- 15
- 60
Correct answer: 13
By the Pythagorean theorem, sqrt(5^2 + 12^2) = sqrt(169) = 13.
Question 4: What is 20% of 250?
- 50 (Correct answer)
- 25
- 5
- 200
Correct answer: 50
20% of 250 = 0.20 × 250 = 50.
Question 5: If f(x) = 2x^2 - 3x + 1, what is f(2)?
- 3 (Correct answer)
- 5
- 11
- 1
Correct answer: 3
f(2) = 2(4) - 3(2) + 1 = 8 - 6 + 1 = 3.
Question 6: What is the value of |−8| + |3|?
- 11 (Correct answer)
- 5
- -5
- -11
Correct answer: 11
|−8| = 8 and |3| = 3, so the sum is 11.
Question 7: The average of three numbers is 15. If two of the numbers are 10 and 20, what is the third?
- 15 (Correct answer)
- 12
- 18
- 45
Correct answer: 15
The sum must be 45; 45 - 10 - 20 = 15.
ACT Math 2
If 3x - 7 = 2x + 5, what is the value of x?