ASVAB Math Knowledge Practice Test 612454 Results

Your Results Global Average
Questions 5 5
Correct 0 3.29
Score 0% 66%

Review

1

Solve for a:
-8a + 4 = -1 + 8a

58% Answer Correctly
-2
\(\frac{2}{3}\)
\(\frac{5}{16}\)
-1

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.

-8a + 4 = -1 + 8a
-8a = -1 + 8a - 4
-8a - 8a = -1 - 4
-16a = -5
a = \( \frac{-5}{-16} \)
a = \(\frac{5}{16}\)


2

What is 7a8 - 3a8?

73% Answer Correctly
4a8
21a16
4
4a16

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.

7a8 - 3a8 = 4a8


3

Solve for c:
7c - 3 = \( \frac{c}{-1} \)

46% Answer Correctly
-1\(\frac{1}{31}\)
\(\frac{1}{2}\)
\(\frac{45}{46}\)
\(\frac{3}{8}\)

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.

7c - 3 = \( \frac{c}{-1} \)
-1 x (7c - 3) = c
(-1 x 7c) + (-1 x -3) = c
-7c + 3 = c
-7c + 3 - c = 0
-7c - c = -3
-8c = -3
c = \( \frac{-3}{-8} \)
c = \(\frac{3}{8}\)


4

The dimensions of this cube are height (h) = 8, length (l) = 9, and width (w) = 8. What is the volume?

82% Answer Correctly
36
5
576
48

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 8 x 9 x 8
v = 576


5

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

70% Answer Correctly
3π
5π
10π
24π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 5)
c = 10π