ASVAB Math Knowledge Practice Test 478423 Results

Your Results Global Average
Questions 5 5
Correct 0 2.94
Score 0% 59%

Review

1

Solve for c:
-2c - 8 = 1 + 3c

59% Answer Correctly
-1\(\frac{4}{5}\)
\(\frac{1}{2}\)
5
1\(\frac{2}{5}\)

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.

-2c - 8 = 1 + 3c
-2c = 1 + 3c + 8
-2c - 3c = 1 + 8
-5c = 9
c = \( \frac{9}{-5} \)
c = -1\(\frac{4}{5}\)


2

Solve 8b - 2b = -5b + 6y - 7 for b in terms of y.

34% Answer Correctly
\(\frac{8}{13}\)y - \(\frac{7}{13}\)
\(\frac{1}{3}\)y - 1
\(\frac{1}{7}\)y + 1\(\frac{2}{7}\)
\(\frac{3}{5}\)y - \(\frac{3}{5}\)

Solution

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

8b - 2y = -5b + 6y - 7
8b = -5b + 6y - 7 + 2y
8b + 5b = 6y - 7 + 2y
13b = 8y - 7
b = \( \frac{8y - 7}{13} \)
b = \( \frac{8y}{13} \) + \( \frac{-7}{13} \)
b = \(\frac{8}{13}\)y - \(\frac{7}{13}\)


3

If a = c = 6, b = d = 1, what is the area of this rectangle?

80% Answer Correctly
64
6
16
9

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 6 x 1
a = 6


4

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

77% Answer Correctly

a = π d2

a = π r2

a = π r

a = 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.


5

On this circle, line segment CD is the:

46% Answer Correctly

diameter

chord

radius

circumference


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).