ASVAB Math Knowledge Practice Test 739897 Results

Your Results Global Average
Questions 5 5
Correct 0 2.81
Score 0% 56%

Review

1

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π d2

c = π r2

c = π r

c = π d


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


2

Simplify (5a)(8ab) - (2a2)(5b).

62% Answer Correctly
-30ab2
50ab2
30a2b
91a2b

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)(8ab) - (2a2)(5b)
(5 x 8)(a x a x b) - (2 x 5)(a2 x b)
(40)(a1+1 x b) - (10)(a2b)
40a2b - 10a2b
30a2b


3

If the base of this triangle is 6 and the height is 8, what is the area?

58% Answer Correctly
36
30
24
42

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 6 x 8 = \( \frac{48}{2} \) = 24


4

A coordinate grid is composed of which of the following?

91% Answer Correctly

x-axis

origin

all of these

y-axis


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


5

Solve for c:
-6c + 9 < \( \frac{c}{-1} \)

44% Answer Correctly
c < -1\(\frac{1}{71}\)
c < -1\(\frac{11}{25}\)
c < 1\(\frac{4}{5}\)
c < \(\frac{9}{32}\)

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.

-6c + 9 < \( \frac{c}{-1} \)
-1 x (-6c + 9) < c
(-1 x -6c) + (-1 x 9) < c
6c - 9 < c
6c - 9 - c < 0
6c - c < 9
5c < 9
c < \( \frac{9}{5} \)
c < 1\(\frac{4}{5}\)