ASVAB ASVAB Mathematics: Algebra and Number Operations 2

Question 1

Solve the inequality: 2x + 3 < 11

Accepted Answer

x < 4

Answer

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|?

Accepted Answer

22

Answer

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?

Accepted Answer

6

Answer

Let the number be n; 4n + 6 = 30 → 4n = 24 → n = 6.

Question 4

Which expression equals 2x² when x = 3?

Accepted Answer

18

Answer

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?

Accepted Answer

2² × 3²

Answer

36 = 2 × 18 = 2 × 2 × 9 = 2 × 2 × 3 × 3 = 2² × 3².

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