Bluebook SAT Test Digital SAT Math Practice 1 — Questions and Answers
Question 1: If 3x + 7 = 22, what is the value of 6x + 5?
- 35 (Correct answer)
- 30
- 25
- 40
Correct answer: 35
Solving 3x + 7 = 22 gives x = 5, so 6x + 5 = 30 + 5 = 35.
Question 2: A scatterplot shows a strong positive linear association between study hours and test scores for 30 students. Which conclusion is best supported?
- Students who study more hours tend to score higher on the test. (Correct answer)
- Studying more hours causes higher test scores.
- Every additional study hour increases a score by the same fixed amount.
- Students who score high on tests always study the most hours.
Correct answer: Students who study more hours tend to score higher on the test.
A positive association means higher study hours correlate with higher scores, but association does not imply causation.
Question 3: What is the solution set of the inequality 2(x − 3) > 4x − 2?
- x < −2 (Correct answer)
- x > −2
- x < 2
- x > 2
Correct answer: x < −2
Expanding gives 2x − 6 > 4x − 2, so −4 > 2x, meaning x < −2.
Question 4: The function f(x) = x² − 6x + 8 has zeros at which values of x?
- x = 2 and x = 4 (Correct answer)
- x = −2 and x = −4
- x = 1 and x = 8
- x = 3 and x = −3
Correct answer: x = 2 and x = 4
Factoring gives (x − 2)(x − 4) = 0, so the zeros are x = 2 and x = 4.
Question 5: In a right triangle, the two legs have lengths 9 and 12. What is the length of the hypotenuse?
- 15 (Correct answer)
- 18
- 21
- √63
Correct answer: 15
By the Pythagorean theorem, c² = 9² + 12² = 81 + 144 = 225, so c = 15.
Question 6: A survey of 200 randomly selected adults found that 60 prefer streaming movies at home over going to a theater. Based on this sample, what is the best estimate for the percentage of all adults who prefer streaming?
- 30% (Correct answer)
- 60%
- 40%
- 20%
Correct answer: 30%
60 out of 200 is 60/200 = 0.30, or 30%, making 30% the best population estimate.
Question 7: Which equation represents a line parallel to y = −2x + 5 that passes through the point (0, 3)?
- y = −2x + 3 (Correct answer)
- y = 2x + 3
- y = −½x + 3
- y = −2x − 3
Correct answer: y = −2x + 3
Parallel lines have equal slopes; using slope −2 and y-intercept 3 gives y = −2x + 3.
Bluebook SAT Test Digital SAT Math Practice 1
If 3x + 7 = 22, what is the value of 6x + 5?