ASVAB Math Knowledge Practice Test 916280 Results

Your Results Global Average
Questions 5 5
Correct 0 3.34
Score 0% 67%

Review

1

The dimensions of this cube are height (h) = 6, length (l) = 2, and width (w) = 2. What is the volume?

82% Answer Correctly
12
32
60
24

Solution

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

v = h x l x w
v = 6 x 2 x 2
v = 24


2

Solve for c:
5c - 8 > \( \frac{c}{-1} \)

44% Answer Correctly
c > 7\(\frac{1}{5}\)
c > \(\frac{12}{13}\)
c > 1\(\frac{1}{3}\)
c > -\(\frac{8}{23}\)

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.

5c - 8 > \( \frac{c}{-1} \)
-1 x (5c - 8) > c
(-1 x 5c) + (-1 x -8) > c
-5c + 8 > c
-5c + 8 - c > 0
-5c - c > -8
-6c > -8
c > \( \frac{-8}{-6} \)
c > 1\(\frac{1}{3}\)


3

What is 2a + 7a?

80% Answer Correctly
9
9a
9a2
14a

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.

2a + 7a = 9a


4

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can subtract monomials that have the same variable and the same exponent

you can multiply monomials that have different variables and different exponents

you can add monomials that have the same variable and the same exponent

all of these statements are correct


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


5

If the base of this triangle is 4 and the height is 1, what is the area?

58% Answer Correctly
35
32\(\frac{1}{2}\)
36
2

Solution

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

a = ½bh
a = ½ x 4 x 1 = \( \frac{4}{2} \) = 2