ASVAB Math Knowledge Practice Test 640880 Results

Your Results Global Average
Questions 5 5
Correct 0 3.24
Score 0% 65%

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

all of these statements are correct

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.


2

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

lw x wh + lh

2lw x 2wh + 2lh

h2 x l2 x w2


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.


3

Simplify (7a)(9ab) + (9a2)(8b).

65% Answer Correctly
-9ab2
9a2b
9ab2
135a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(7a)(9ab) + (9a2)(8b)
(7 x 9)(a x a x b) + (9 x 8)(a2 x b)
(63)(a1+1 x b) + (72)(a2b)
63a2b + 72a2b
135a2b


4

The dimensions of this trapezoid are a = 6, b = 9, c = 9, d = 7, and h = 4. What is the area?

50% Answer Correctly
36
15
40
32

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(9 + 7)(4)
a = ½(16)(4)
a = ½(64) = \( \frac{64}{2} \)
a = 32


5

On this circle, line segment AB is the:

70% Answer Correctly

radius

diameter

circumference

chord


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).