ASVAB Math Knowledge Practice Test 194753 Results

Your Results Global Average
Questions 5 5
Correct 0 2.83
Score 0% 57%

Review

1

What is 9a8 - 3a8?

74% Answer Correctly
12
6a16
6a8
27a16

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.

9a8 - 3a8 = 6a8


2

A cylinder with a radius (r) and a height (h) has a surface area of:

54% Answer Correctly

π r2h

π r2h2

2(π r2) + 2π rh

4π r2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


3

Solve for z:
6z + 8 < 6 + z

55% Answer Correctly
z < \(\frac{2}{7}\)
z < -3
z < \(\frac{1}{4}\)
z < -\(\frac{2}{5}\)

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 < sign and the answer on the other.

6z + 8 < 6 + z
6z < 6 + z - 8
6z - z < 6 - 8
5z < -2
z < \( \frac{-2}{5} \)
z < -\(\frac{2}{5}\)


4

If a = c = 6, b = d = 4, and the blue angle = 59°, what is the area of this parallelogram?

66% Answer Correctly
12
24
8
35

Solution

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

a = l x w
a = a x b
a = 6 x 4
a = 24


5

Solve 6c - 7c = 8c + 6y + 9 for c in terms of y.

34% Answer Correctly
\(\frac{1}{5}\)y - 1
-1\(\frac{2}{11}\)y + \(\frac{9}{11}\)
-6\(\frac{1}{2}\)y - 4\(\frac{1}{2}\)
\(\frac{5}{8}\)y + \(\frac{5}{8}\)

Solution

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

6c - 7y = 8c + 6y + 9
6c = 8c + 6y + 9 + 7y
6c - 8c = 6y + 9 + 7y
-2c = 13y + 9
c = \( \frac{13y + 9}{-2} \)
c = \( \frac{13y}{-2} \) + \( \frac{9}{-2} \)
c = -6\(\frac{1}{2}\)y - 4\(\frac{1}{2}\)