ASVAB Math Knowledge Practice Test 563833 Results

Your Results Global Average
Questions 5 5
Correct 0 3.56
Score 0% 71%

Review

1

What is the circumference of a circle with a diameter of 10?

70% Answer Correctly
34π
9π
7π
10π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 10π


2

Which of the following statements about math operations is incorrect?

70% Answer Correctly

all of these statements are correct

you can multiply monomials that have different variables and different exponents

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

you can add 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.


3

If b = 8 and z = 4, what is the value of -3b(b - z)?

68% Answer Correctly
-96
4
-576
504

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-3b(b - z)
-3(8)(8 - 4)
-3(8)(4)
(-24)(4)
-96


4

What is 5a7 - 3a7?

73% Answer Correctly
8a14
2
a714
2a7

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.

5a7 - 3a7 = 2a7


5

If AD = 28 and BD = 23, AB = ?

75% Answer Correctly
5
3
16
2

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 = 28 - 23
AB = 5