ASVAB Math Knowledge Practice Test 170065 Results

Your Results Global Average
Questions 5 5
Correct 0 3.39
Score 0% 68%

Review

1

If BD = 3 and AD = 13, AB = ?

76% Answer Correctly
18
7
10
1

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 13 - 3
AB = 10


2

What is the area of a circle with a radius of 3?

70% Answer Correctly
36π
64π

Solution

The formula for area is πr2:

a = πr2
a = π(32)
a = 9π


3

Solve for a:
5a + 4 = \( \frac{a}{4} \)

46% Answer Correctly
-1\(\frac{1}{3}\)
-\(\frac{16}{19}\)
4\(\frac{4}{7}\)
1\(\frac{1}{17}\)

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.

5a + 4 = \( \frac{a}{4} \)
4 x (5a + 4) = a
(4 x 5a) + (4 x 4) = a
20a + 16 = a
20a + 16 - a = 0
20a - a = -16
19a = -16
a = \( \frac{-16}{19} \)
a = -\(\frac{16}{19}\)


4

What is 5a5 - 8a5?

74% Answer Correctly
-3a5
40a5
-3
13a10

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.

5a5 - 8a5 = -3a5


5

Which of the following statements about math operations is incorrect?

71% Answer Correctly

all of these statements are correct

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

you can multiply monomials that have different variables and different exponents


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.