ASVAB ASVAB Mathematics: Algebra and Number Operations 1 — Questions and Answers
Question 1: Solve for x: 3x + 9 = 24
- x = 3
- x = 5 (Correct answer)
- x = 7
- x = 11
Correct answer: x = 5
Subtract 9 from both sides to get 3x = 15, then divide by 3 to get x = 5.
Question 2: What is the value of 4² + √16?
- 12
- 18
- 20 (Correct answer)
- 24
Correct answer: 20
4² = 16 and √16 = 4, so 16 + 4 = 20.
Question 3: If 2x − 4 = 10, what is the value of x?
Correct answer: 7
Add 4 to both sides to get 2x = 14, then divide by 2 to get x = 7.
Question 4: Which of the following is equivalent to 5(x − 3)?
- 5x − 3
- 5x − 8
- 5x − 15 (Correct answer)
- x − 15
Correct answer: 5x − 15
Using the distributive property: 5 × x = 5x and 5 × (−3) = −15, giving 5x − 15.
Question 5: What is the least common multiple (LCM) of 4 and 6?
Correct answer: 12
The smallest number divisible by both 4 and 6 is 12 (4×3 = 12, 6×2 = 12).
Question 6: If y = 3x + 2 and x = 4, what is the value of y?
Correct answer: 14
Substitute x = 4: y = 3(4) + 2 = 12 + 2 = 14.
Question 7: What is the greatest common factor (GCF) of 18 and 24?
Correct answer: 6
The factors of 18 are 1,2,3,6,9,18 and of 24 are 1,2,3,4,6,8,12,24; the largest shared factor is 6.
