ASVAB ASVAB Mathematics: Algebra and Number Operations 5 — Questions and Answers
Question 1: What is the least common multiple (LCM) of 8 and 12?
- 16
- 20
- 24 (Correct answer)
- 32
Correct answer: 24
The smallest number divisible by both 8 and 12 is 24.
Question 2: If f(x) = 4x - 7, what is f(3)?
Correct answer: 5
Substitute x = 3: f(3) = 4(3) - 7 = 12 - 7 = 5.
Question 3: A store marks up an item by 25% and sells it for $50. What was the original cost?
- $37.50
- $38.00
- $40.00 (Correct answer)
- $42.50
Correct answer: $40.00
If cost × 1.25 = $50, then cost = $50 ÷ 1.25 = $40.
Question 4: Evaluate: |−15| + |−8| − |6|
Correct answer: 17
Absolute values give 15 + 8 - 6 = 17.
Question 5: If 5x + 3 = 3x + 11, what is the value of x?
Correct answer: 4
Subtract 3x from both sides to get 2x + 3 = 11, then 2x = 8, so x = 4.
Question 6: What is 15% of 240?
- 30
- 34
- 36 (Correct answer)
- 40
Correct answer: 36
15% of 240 = 0.15 × 240 = 36.
Question 7: Simplify the expression: 3(2x + 4) − 2(x − 1)
- 4x + 14 (Correct answer)
- 4x + 10
- 8x + 14
- 4x + 12
Correct answer: 4x + 14
Distribute to get 6x + 12 - 2x + 2 = 4x + 14.
