SATs Math 2 — Questions and Answers
Question 1: If 3x − 7 = 2x + 5, what is the value of x?
- 12 (Correct answer)
- −12
- 2
- −2
Correct answer: 12
Subtracting 2x from both sides gives x − 7 = 5, so x = 12.
Question 2: A store sells notebooks for $3 each and pens for $1.50 each. Maria bought 10 items for $22.50. How many notebooks did she buy?
- 3
- 5 (Correct answer)
- 7
- 8
Correct answer: 5
Setting up n + p = 10 and 3n + 1.5p = 22.50, then solving gives n = 5.
Question 3: Which value of x satisfies 2|x − 3| ≤ 8?
- x = 8
- x = 9
- x = −1 (Correct answer)
- x = −5
Correct answer: x = −1
Dividing by 2 gives |x − 3| ≤ 4, which means −1 ≤ x ≤ 7, so x = −1 satisfies this.
Question 4: A line passes through (2, 5) and (6, 13). What is the y-intercept of this line?
- 1 (Correct answer)
- 2
- 3
- 4
Correct answer: 1
The slope is (13 − 5)/(6 − 2) = 2; substituting (2, 5) gives 5 = 2(2) + b, so b = 1.
Question 5: A car travels 240 miles on 8 gallons of gas. At this rate, how many gallons are needed for 360 miles?
- 10
- 12 (Correct answer)
- 14
- 15
Correct answer: 12
The car gets 30 mpg, so 360 miles requires 360 ÷ 30 = 12 gallons.
Question 6: What is the value of 2³ × 4² ÷ 8?
- 8
- 12
- 16 (Correct answer)
- 32
Correct answer: 16
2³ = 8 and 4² = 16, so 8 × 16 ÷ 8 = 16.
Question 7: If f(x) = 4x − 9 and f(k) = 7, what is the value of k?
- 2
- 4 (Correct answer)
- 3
- −4
Correct answer: 4
Solving 4k − 9 = 7 gives 4k = 16, so k = 4.
SATs Math 2
If 3x − 7 = 2x + 5, what is the value of x?