ASVAB Math Knowledge Practice Test 162511 Results

Your Results Global Average
Questions 5 5
Correct 0 3.40
Score 0% 68%

Review

1

Simplify 5a x 3b.

85% Answer Correctly
15\( \frac{a}{b} \)
15\( \frac{b}{a} \)
15ab
8ab

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.

5a x 3b = (5 x 3) (a x b) = 15ab


2

What is the area of a circle with a diameter of 8?

69% Answer Correctly
81π
16π
25π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π


3

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

equal length

right angle

parallel

equal angle


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


4

Solve for b:
-6b + 2 > 8 + 6b

54% Answer Correctly
b > \(\frac{1}{4}\)
b > -\(\frac{3}{4}\)
b > \(\frac{4}{9}\)
b > -\(\frac{1}{2}\)

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 > sign and the answer on the other.

-6b + 2 > 8 + 6b
-6b > 8 + 6b - 2
-6b - 6b > 8 - 2
-12b > 6
b > \( \frac{6}{-12} \)
b > -\(\frac{1}{2}\)


5

Simplify (y + 3)(y + 7)

62% Answer Correctly
y2 - 4y - 21
y2 - 10y + 21
y2 + 10y + 21
y2 + 4y - 21

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 3)(y + 7)
(y x y) + (y x 7) + (3 x y) + (3 x 7)
y2 + 7y + 3y + 21
y2 + 10y + 21