ASVAB ASVAB Mathematics: Algebra and Number Operations 4

Question 1

If 3(x - 4) = 2x + 1, what is x?

Accepted Answer

13

Answer

Expanding gives 3x - 12 = 2x + 1, so x = 13.

Question 2

What is the greatest common factor (GCF) of 36 and 60?

Accepted Answer

12

Answer

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?

Accepted Answer

60

Answer

If the original number is n, then 1.4n = 84, so n = 60.

Question 4

Simplify: (2x²)(3x³)

Accepted Answer

6x⁵

Answer

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?

Accepted Answer

67

Answer

67 is prime because it has no divisors other than 1 and itself; 51=3×17, 57=3×19, 63=9×7.

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