ASVAB Math Knowledge Practice Test 808083 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

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

74% Answer Correctly

normalizing

factoring

deconstructing

squaring


Solution

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


2

The endpoints of this line segment are at (-2, -3) and (2, 5). What is the slope of this line?

46% Answer Correctly
2
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, 5) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)
m = 2


3

Solve for z:
-3z - 5 = \( \frac{z}{1} \)

46% Answer Correctly
\(\frac{16}{21}\)
-\(\frac{3}{5}\)
-1\(\frac{1}{4}\)
\(\frac{8}{31}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-3z - 5 = \( \frac{z}{1} \)
1 x (-3z - 5) = z
(1 x -3z) + (1 x -5) = z
-3z - 5 = z
-3z - 5 - z = 0
-3z - z = 5
-4z = 5
z = \( \frac{5}{-4} \)
z = -1\(\frac{1}{4}\)


4

A trapezoid is a quadrilateral with one set of __________ sides.

69% Answer Correctly

right angle

equal length

parallel

equal angle


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


5

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

problem

formula

expression

equation


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.