ASVAB Math Knowledge Practice Test 631921 Results

Your Results Global Average
Questions 5 5
Correct 0 3.70
Score 0% 74%

Review

1

What is 6a6 + 7a6?

75% Answer Correctly
a612
13a6
13a12
13
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.

6a6 + 7a6 = 13a6

2

Simplify (y - 9)(y + 8)

63% Answer Correctly
y2 - y - 72
y2 - 17y + 72
y2 + y - 72
y2 + 17y + 72
Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 9)(y + 8)
(y x y) + (y x 8) + (-9 x y) + (-9 x 8)
y2 + 8y - 9y - 72
y2 - y - 72

3

The dimensions of this cube are height (h) = 4, length (l) = 6, and width (w) = 5. What is the volume?

82% Answer Correctly
224
120
6
42
Solution

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

v = h x l x w
v = 4 x 6 x 5
v = 120

4

What is 5a + 5a?

81% Answer Correctly
10a
a2
10
25a
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.

5a + 5a = 10a

5

Which of the following statements about math operations is incorrect?

70% Answer Correctly

all of these statements are correct

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

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.