ASVAB ASVAB Mathematics: Algebra and Number Operations 2 — Questions and Answers
Question 1: Solve the inequality: 2x + 3 < 11
- x < 2
- x < 4 (Correct answer)
- x < 7
- x < 8
Correct answer: x < 4
Subtract 3 from both sides to get 2x < 8, then divide by 2 to get x < 4.
Question 2: What is the value of |−15| + |−7|?
- −22
- 8
- 22 (Correct answer)
- −8
Correct answer: 22
Absolute value makes both numbers positive: 15 + 7 = 22.
Question 3: A number is multiplied by 4 and then 6 is added. The result is 30. What is the number?
Correct answer: 6
Let the number be n; 4n + 6 = 30 → 4n = 24 → n = 6.
Question 4: Which expression equals 2x² when x = 3?
Correct answer: 18
2x² = 2 × (3²) = 2 × 9 = 18; note that the exponent applies to x, not to 2.
Question 5: What is the prime factorization of 36?
- 2² × 3² (Correct answer)
- 2³ × 3
- 2 × 3³
- 4 × 9
Correct answer: 2² × 3²
36 = 2 × 18 = 2 × 2 × 9 = 2 × 2 × 3 × 3 = 2² × 3².
Question 6: If a car travels at 60 miles per hour, how far will it travel in 2.5 hours?
- 120 miles
- 130 miles
- 150 miles (Correct answer)
- 160 miles
Correct answer: 150 miles
Distance = rate × time = 60 × 2.5 = 150 miles.
Question 7: Simplify: (3x)(4x²)
- 7x²
- 7x³
- 12x²
- 12x³ (Correct answer)
Correct answer: 12x³
Multiply coefficients (3 × 4 = 12) and add exponents (x¹ × x² = x³) to get 12x³.
