Bluebook SAT Test Digital SAT Math Practice 2 — Questions and Answers
Question 1: A car travels 240 miles in 4 hours at a constant speed. At this rate, how many miles will it travel in 7 hours?
- 420 (Correct answer)
- 400
- 350
- 480
Correct answer: 420
The speed is 240/4 = 60 mph; in 7 hours it covers 60 × 7 = 420 miles.
Question 2: If the system of equations y = 2x + 1 and y = −x + 7 is graphed, at which point do the lines intersect?
- (2, 5) (Correct answer)
- (3, 7)
- (1, 3)
- (2, 3)
Correct answer: (2, 5)
Setting 2x + 1 = −x + 7 gives 3x = 6, x = 2; substituting back yields y = 5.
Question 3: The population of a town doubles every 10 years. If the population is currently 5,000, what will it be in 20 years?
- 20,000 (Correct answer)
- 10,000
- 15,000
- 25,000
Correct answer: 20,000
After 10 years the population is 10,000; after 20 years it doubles again to 20,000.
Question 4: A circle has a radius of 5. What is the area of the circle in terms of π?
- 25π (Correct answer)
- 10π
- 5π
- 50π
Correct answer: 25π
Area = πr² = π(5)² = 25π.
Question 5: If f(x) = 3x² + 2x − 1, what is the value of f(−1)?
- 0 (Correct answer)
- 4
- −6
- 2
Correct answer: 0
f(−1) = 3(1) + 2(−1) − 1 = 3 − 2 − 1 = 0.
Question 6: A bag contains 4 red marbles, 6 blue marbles, and 2 green marbles. If one marble is drawn at random, what is the probability it is NOT blue?
- ½ (Correct answer)
- ⅔
- ¼
- ⅙
Correct answer: ½
There are 12 total marbles; 6 are not blue (4 red + 2 green), so P(not blue) = 6/12 = 1/2.
Question 7: What value of x satisfies the equation √(2x + 6) = 4?
- 5 (Correct answer)
- 3
- 7
- 10
Correct answer: 5
Squaring both sides: 2x + 6 = 16, so 2x = 10 and x = 5.
Bluebook SAT Test Digital SAT Math Practice 2
A car travels 240 miles in 4 hours at a constant speed.
At this rate, how many miles will it travel in 7 hours?