ASVAB Math Knowledge Practice Test 197967 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

What is 2a + 2a?

81% Answer Correctly
4
4a
a2
4a2

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 + 2a = 4a


2

If a = c = 3, b = d = 9, and the blue angle = 72°, what is the area of this parallelogram?

66% Answer Correctly
56
20
27
42

Solution

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

a = l x w
a = a x b
a = 3 x 9
a = 27


3

Solve -9c + 3c = 4c + 9z - 7 for c in terms of z.

34% Answer Correctly
\(\frac{4}{13}\)z - \(\frac{1}{13}\)
-\(\frac{6}{13}\)z + \(\frac{7}{13}\)
-3\(\frac{3}{4}\)z - 1\(\frac{1}{4}\)
\(\frac{1}{7}\)z + 1\(\frac{2}{7}\)

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.

-9c + 3z = 4c + 9z - 7
-9c = 4c + 9z - 7 - 3z
-9c - 4c = 9z - 7 - 3z
-13c = 6z - 7
c = \( \frac{6z - 7}{-13} \)
c = \( \frac{6z}{-13} \) + \( \frac{-7}{-13} \)
c = -\(\frac{6}{13}\)z + \(\frac{7}{13}\)


4

If a = c = 5, b = d = 6, what is the area of this rectangle?

80% Answer Correctly
28
30
4
36

Solution

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

a = l x w
a = a x b
a = 5 x 6
a = 30


5

Which of the following statements about math operations is incorrect?

71% Answer Correctly

all of these statements are correct

you can multiply monomials that have different variables and different exponents

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

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


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.