ASVAB Math Knowledge Practice Test 112580 Results

Your Results Global Average
Questions 5 5
Correct 0 3.47
Score 0% 69%

Review

1

Solve for b:
4b + 5 = -6 - 4b

58% Answer Correctly
\(\frac{1}{3}\)
1
1\(\frac{1}{7}\)
-1\(\frac{3}{8}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

4b + 5 = -6 - 4b
4b = -6 - 4b - 5
4b + 4b = -6 - 5
8b = -11
b = \( \frac{-11}{8} \)
b = -1\(\frac{3}{8}\)


2

What is 2a - 4a?

79% Answer Correctly
6a2
8a2
6
-2a

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

2a - 4a = -2a


3

What is the area of a circle with a radius of 5?

69% Answer Correctly
25π
36π

Solution

The formula for area is πr2:

a = πr2
a = π(52)
a = 25π


4

Simplify (2a)(2ab) + (4a2)(6b).

65% Answer Correctly
28ab2
40ab2
28a2b
-20ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(2a)(2ab) + (4a2)(6b)
(2 x 2)(a x a x b) + (4 x 6)(a2 x b)
(4)(a1+1 x b) + (24)(a2b)
4a2b + 24a2b
28a2b


5

Breaking apart a quadratic expression into a pair of binomials is called:

74% Answer Correctly

squaring

factoring

deconstructing

normalizing


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.