ASVAB Math Knowledge Practice Test 888623 Results

Your Results Global Average
Questions 5 5
Correct 0 3.30
Score 0% 66%

Review

1

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.


2

On this circle, line segment AB is the:

70% Answer Correctly

radius

circumference

diameter

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).


3

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

74% Answer Correctly

normalizing

factoring

squaring

deconstructing


Solution

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


4

If a = c = 8, b = d = 2, and the blue angle = 60°, what is the area of this parallelogram?

65% Answer Correctly
56
45
16
12

Solution

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

a = l x w
a = a x b
a = 8 x 2
a = 16


5

Find the value of b:
-9b + y = -2
5b - y = 8

42% Answer Correctly
-1\(\frac{1}{2}\)
-\(\frac{8}{9}\)
-1\(\frac{10}{13}\)
3

Solution

You need to find the value of b so solve the first equation in terms of y:

-9b + y = -2
y = -2 + 9b

then substitute the result (-2 - -9b) into the second equation:

5b - 1(-2 + 9b) = 8
5b + (-1 x -2) + (-1 x 9b) = 8
5b + 2 - 9b = 8
5b - 9b = 8 - 2
-4b = 6
b = \( \frac{6}{-4} \)
b = -1\(\frac{1}{2}\)