Bluebook SAT Test Digital SAT Math Practice 4 — Questions and Answers
Question 1: If 5y − 3 = 2y + 9, what is the value of y?
- 4 (Correct answer)
- 2
- 6
- 3
Correct answer: 4
Combining like terms: 3y = 12, so y = 4.
Question 2: In a class, the ratio of boys to girls is 3:5. If there are 24 boys, how many students are in the class total?
- 64 (Correct answer)
- 40
- 56
- 72
Correct answer: 64
If 3 parts = 24, each part = 8 girls. Total parts = 8, so total students = 8 × 8 = 64.
Question 3: What are the solutions to 2x² − 8 = 0?
- x = 2 or x = −2 (Correct answer)
- x = 4 or x = −4
- x = √2 or x = −√2
- x = 2 only
Correct answer: x = 2 or x = −2
2x² = 8 → x² = 4 → x = ±2.
Question 4: The angles of a triangle measure x°, (x + 20)°, and (x + 40)°. What is the value of x?
- 40 (Correct answer)
- 60
- 50
- 30
Correct answer: 40
The angles sum to 180°: 3x + 60 = 180, so 3x = 120 and x = 40.
Question 5: A linear function passes through (0, −3) and has a slope of 2. Which equation represents this function?
- y = 2x − 3 (Correct answer)
- y = −3x + 2
- y = 2x + 3
- y = −2x − 3
Correct answer: y = 2x − 3
Using slope-intercept form with m = 2 and b = −3: y = 2x − 3.
Question 6: The table below shows the number of hours 4 employees worked: 35, 40, 45, and 40. What is the mean number of hours worked?
- 40 (Correct answer)
- 41.25
- 40.5
- 39
Correct answer: 40
Mean = (35 + 40 + 45 + 40)/4 = 160/4 = 40.
Question 7: Which expression is equivalent to x²·x⁵?
- x⁷ (Correct answer)
- x¹⁰
- x³
- 2x⁷
Correct answer: x⁷
When multiplying powers with the same base, add the exponents: x^(2+5) = x⁷.
Bluebook SAT Test Digital SAT Math Practice 4
If 5y − 3 = 2y + 9, what is the value of y?