ASVAB Math Knowledge Practice Test 816722 Results

Your Results Global Average
Questions 5 5
Correct 0 3.37
Score 0% 67%

Review

1

Which of the following statements about math operations is incorrect?

70% Answer Correctly

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

you can multiply monomials that have different variables and different exponents

all of these statements are correct

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.

2

The dimensions of this cube are height (h) = 4, length (l) = 6, and width (w) = 1. What is the surface area?

51% Answer Correctly
286
104
68
158
Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 6 x 1) + (2 x 1 x 4) + (2 x 6 x 4)
sa = (12) + (8) + (48)
sa = 68

3

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

83% Answer Correctly
64
168
144
4
Solution

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

v = h x l x w
v = 6 x 4 x 6
v = 144

4

If a = c = 2, b = d = 7, and the blue angle = 77°, what is the area of this parallelogram?

65% Answer Correctly
54
14
5
16
Solution

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

a = l x w
a = a x b
a = 2 x 7
a = 14

5

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

h x l x w

h2 x l2 x w2

2lw x 2wh + 2lh

lw x wh + lh
Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.