ASVAB Math Knowledge Practice Test 98188 Results

Your Results Global Average
Questions 5 5
Correct 0 3.58
Score 0% 72%

Review

1

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

pairs

exponents

addition

division
Solution

When solving an equation with two variables, 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.)

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 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.

3

The dimensions of this cube are height (h) = 7, length (l) = 9, and width (w) = 7. What is the volume?

83% Answer Correctly
108
441
18
576
Solution

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

v = h x l x w
v = 7 x 9 x 7
v = 441

4

Factor y2 + 6y - 16

54% Answer Correctly
(y - 2)(y + 8)
(y + 2)(y + 8)
(y - 2)(y - 8)
(y + 2)(y - 8)
Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -16 as well and sum (Inside, Outside) to equal 6. For this problem, those two numbers are -2 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 6y - 16
y2 + (-2 + 8)y + (-2 x 8)
(y - 2)(y + 8)

5

The dimensions of this cylinder are height (h) = 7 and radius (r) = 9. What is the volume?

62% Answer Correctly
567π
98π
36π
288π
Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(92 x 7)
v = 567π