ASVAB Math Knowledge Practice Test 645138 Results

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

Review

1

Which of the following statements about math operations is incorrect?

71% Answer Correctly

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

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


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

What is 8a4 - 7a4?

74% Answer Correctly
1a4
a8
56a4
a48

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.

8a4 - 7a4 = 1a4


3

If a = c = 7, b = d = 8, and the blue angle = 77°, what is the area of this parallelogram?

66% Answer Correctly
32
56
81
5

Solution

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

a = l x w
a = a x b
a = 7 x 8
a = 56


4

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

68% Answer Correctly

lw x wh + lh

2lw x 2wh + 2lh

h x l x w

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.


5

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

91% Answer Correctly

pairs

division

addition

exponents


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.)