ASVAB ASVAB Mathematics: Algebra and Number Operations

Question 1

Solve for x: 3x + 9 = 24

Accepted Answer

x = 5

Answer

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?

Accepted Answer

20

Answer

4² = 16 and √16 = 4, so 16 + 4 = 20.

Question 3

If 2x − 4 = 10, what is the value of x?

Accepted Answer

7

Answer

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)?

Accepted Answer

5x − 15

Answer

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?

Accepted Answer

12

Answer

The smallest number divisible by both 4 and 6 is 12 (4×3 = 12, 6×2 = 12).

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