ASVAB Math Knowledge Practice Test 792915 Results

Your Results Global Average
Questions 5 5
Correct 0 3.57
Score 0% 71%

Review

1

What is 4a6 - 9a6?

73% Answer Correctly
-5
36a12
-5a6
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.

4a6 - 9a6 = -5a6


2

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

88% Answer Correctly

addition

division

pairs

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.)


3

Breaking apart a quadratic expression into a pair of binomials is called:

74% Answer Correctly

factoring

deconstructing

normalizing

squaring


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.


4

If AD = 16 and BD = 9, AB = ?

75% Answer Correctly
7
14
8
19

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 16 - 9
AB = 7


5

The endpoints of this line segment are at (-2, 3) and (2, 1). What is the slope of this line?

46% Answer Correctly
1
2
-\(\frac{1}{2}\)
-1\(\frac{1}{2}\)

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 3) and (2, 1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)
m = -\(\frac{1}{2}\)