Bluebook SAT Test Digital SAT Math Practice 3 — Questions and Answers
Question 1: A store sells a jacket originally priced at $80 at a 25% discount. What is the sale price?
- $60 (Correct answer)
- $55
- $65
- $70
Correct answer: $60
A 25% discount on $80 is $20 off, making the sale price $80 − $20 = $60.
Question 2: Which expression is equivalent to (x + 3)² − (x − 3)²?
- 12x (Correct answer)
- 2x²
- 18
- 6x
Correct answer: 12x
Expanding: (x² + 6x + 9) − (x² − 6x + 9) = 12x.
Question 3: Line ℓ passes through (−1, 2) and (3, 10). What is its slope?
- 2 (Correct answer)
- 4
- ½
- 3
Correct answer: 2
Slope = (10 − 2)/(3 − (−1)) = 8/4 = 2.
Question 4: A cylinder has a base radius of 3 and a height of 8. What is its volume?
- 72π (Correct answer)
- 24π
- 48π
- 96π
Correct answer: 72π
V = πr²h = π(9)(8) = 72π.
Question 5: The graph of y = a(x − h)² + k is a parabola with vertex at (−3, 5) that opens downward. Which set of values is correct?
- h = −3, k = 5, a < 0 (Correct answer)
- h = 3, k = 5, a < 0
- h = −3, k = −5, a > 0
- h = 3, k = −5, a < 0
Correct answer: h = −3, k = 5, a < 0
The vertex form places h and k directly from the vertex (−3, 5); a < 0 for a downward parabola.
Question 6: A data set has values {4, 7, 7, 9, 13}. What is the median?
- 7 (Correct answer)
- 8
- 9
- 6
Correct answer: 7
Arranged in order, the middle value of the five-number set is the third value, which is 7.
Question 7: sin(60°) equals which of the following?
- √3/2 (Correct answer)
- 1/2
- √2/2
- √3/3
Correct answer: √3/2
From the unit circle, sin(60°) = √3/2.
A store sells a jacket originally priced at $80 at a 25% discount.
What is the sale price?