PSAT/NMSQT Math 2 — Questions and Answers
Question 1: If 3x + 7 = 22, what is the value of x?
- 3
- 5 (Correct answer)
- 7
- 15
Correct answer: 5
Subtract 7 to get 3x = 15, then divide by 3 to get x = 5.
Question 2: A line has slope 2 and passes through the point (1, 3). What is its y-intercept?
- 1 (Correct answer)
- 2
- 3
- 5
Correct answer: 1
Using y = 2x + b with (1,3): 3 = 2(1) + b, so b = 1.
Question 3: What is 15% of 240?
- 24
- 30
- 36 (Correct answer)
- 48
Correct answer: 36
0.15 × 240 = 36.
Question 4: If f(x) = x² − 4x + 3, what is f(2)?
- -1 (Correct answer)
- 0
- 1
- 3
Correct answer: -1
f(2) = 4 − 8 + 3 = −1.
Question 5: The ratio of boys to girls in a class is 3:5. If there are 24 students, how many are girls?
- 9
- 12
- 15 (Correct answer)
- 18
Correct answer: 15
Total parts = 8, each part = 3, so girls = 5 × 3 = 15.
Question 6: What is the value of (4 × 10³) + (2 × 10²)?
- 4200 (Correct answer)
- 4020
- 6000
- 42000
Correct answer: 4200
4000 + 200 = 4200.
Question 7: If 2(x − 3) = 10, what is x?
- 5
- 6
- 7
- 8 (Correct answer)
Correct answer: 8
Divide by 2 to get x − 3 = 5, so x = 8.
PSAT/NMSQT Math 2
If 3x + 7 = 22, what is the value of x?