Bluebook SAT Test Digital SAT Math Practice 5 — Questions and Answers
Question 1: A line has equation 3x − 4y = 12. What is the y-intercept?
- (0, −3) (Correct answer)
- (0, 3)
- (4, 0)
- (0, −4)
Correct answer: (0, −3)
Setting x = 0: −4y = 12, so y = −3; the y-intercept is (0, −3).
Question 2: If h(x) = 2x + 5 and g(x) = x², what is h(g(3))?
- 23 (Correct answer)
- 49
- 11
- 13
Correct answer: 23
g(3) = 9; then h(9) = 2(9) + 5 = 23.
Question 3: A rectangular room is 15 feet long and 12 feet wide. What is the area of the room?
- 180 sq ft (Correct answer)
- 54 sq ft
- 90 sq ft
- 144 sq ft
Correct answer: 180 sq ft
Area = length × width = 15 × 12 = 180 square feet.
Question 4: Which inequality is represented by the number line where all values less than or equal to −2 are shaded?
- x ≤ −2 (Correct answer)
- x ≥ −2
- x < −2
- x > −2
Correct answer: x ≤ −2
Shading at and to the left of −2 with a closed circle represents x ≤ −2.
Question 5: The product of a number and 7 is 56. What is the number?
- 8 (Correct answer)
- 7
- 9
- 6
Correct answer: 8
7n = 56, so n = 8.
Question 6: A researcher finds that a town's population can be modeled by P(t) = 3000(1.04)^t, where t is years since 2000. What does 1.04 represent?
- The population grows by 4% per year. (Correct answer)
- The population grows by 4 people per year.
- The population doubles every 4 years.
- The initial population is 4,000.
Correct answer: The population grows by 4% per year.
In an exponential growth model P = P₀(1 + r)^t, the base 1.04 = 1 + 0.04 represents 4% annual growth.
Question 7: If tan θ = 3/4 in a right triangle, what is sin θ?
- 3/5 (Correct answer)
- 4/5
- 3/4
- 4/3
Correct answer: 3/5
With opposite = 3, adjacent = 4, hypotenuse = √(9+16) = 5, so sin θ = 3/5.
Bluebook SAT Test Digital SAT Math Practice 5
A line has equation 3x − 4y = 12.
What is the y-intercept?