ASVAB ASVAB Mathematics: Algebra and Number Operations 4 — Questions and Answers
Question 1: If 3(x - 4) = 2x + 1, what is x?
- 11
- 13 (Correct answer)
- 7
- 9
Correct answer: 13
Expanding gives 3x - 12 = 2x + 1, so x = 13.
Question 2: What is the greatest common factor (GCF) of 36 and 60?
- 6
- 9
- 12 (Correct answer)
- 18
Correct answer: 12
The factors of 36 include 1,2,3,4,6,9,12,18,36 and of 60 include 1,2,3,4,5,6,10,12,15,20,30,60; the greatest common factor is 12.
Question 3: A number is increased by 40% and the result is 84. What was the original number?
- 50
- 56
- 60 (Correct answer)
- 70
Correct answer: 60
If the original number is n, then 1.4n = 84, so n = 60.
Question 4: Simplify: (2x²)(3x³)
- 5x⁵
- 6x⁵ (Correct answer)
- 6x⁶
- 5x⁶
Correct answer: 6x⁵
Multiply the coefficients (2 × 3 = 6) and add the exponents (2 + 3 = 5) to get 6x⁵.
Question 5: Which of the following is a prime number?
- 51
- 57
- 63
- 67 (Correct answer)
Correct answer: 67
67 is prime because it has no divisors other than 1 and itself; 51=3×17, 57=3×19, 63=9×7.
Question 6: If the ratio of boys to girls in a class is 3:5 and there are 24 boys, how many girls are there?
- 30
- 35
- 40 (Correct answer)
- 45
Correct answer: 40
If 3 parts = 24 boys, then 1 part = 8, so 5 parts = 40 girls.
Question 7: Solve for y: 2y/3 = 10
- 12
- 15 (Correct answer)
- 18
- 20
Correct answer: 15
Multiply both sides by 3 to get 2y = 30, then divide by 2 to get y = 15.
ASVAB ASVAB Mathematics: Algebra and Number Operations 4
If 3(x - 4) = 2x + 1, what is x?