ASVAB Math Knowledge Practice Test 3433 Results

Your Results Global Average
Questions 5 5
Correct 0 3.18
Score 0% 64%

Review

1

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

77% Answer Correctly

formula

expression

equation

problem


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

The endpoints of this line segment are at (-2, 0) and (2, -2). What is the slope-intercept equation for this line?

42% Answer Correctly
y = 2\(\frac{1}{2}\)x - 3
y = -\(\frac{1}{2}\)x - 1
y = 1\(\frac{1}{2}\)x - 1
y = 3x - 4

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -1. 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, 0) and (2, -2) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)
m = -\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = -\(\frac{1}{2}\)x - 1


3

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

radius

diameter

chord

circumference


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).


4

A coordinate grid is composed of which of the following?

92% Answer Correctly

all of these

origin

x-axis

y-axis


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


5

If the base of this triangle is 7 and the height is 7, what is the area?

58% Answer Correctly
60\(\frac{1}{2}\)
24\(\frac{1}{2}\)
60
78

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 7 x 7 = \( \frac{49}{2} \) = 24\(\frac{1}{2}\)