ASVAB Math Knowledge Practice Test 19247 Results

Your Results Global Average
Questions 5 5
Correct 0 3.28
Score 0% 66%

Review

1

The endpoints of this line segment are at (-2, 7) and (2, -5). What is the slope-intercept equation for this line?

41% Answer Correctly
y = 3x + 3
y = -3x + 1
y = 3x - 1
y = -2x - 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, 7) and (2, -5) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)
m = -3

Plugging these values into the slope-intercept equation:

y = -3x + 1


2

Simplify (y - 1)(y + 6)

64% Answer Correctly
y2 + 7y + 6
y2 - 7y + 6
y2 + 5y - 6
y2 - 5y - 6

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 1)(y + 6)
(y x y) + (y x 6) + (-1 x y) + (-1 x 6)
y2 + 6y - y - 6
y2 + 5y - 6


3

The dimensions of this cube are height (h) = 9, length (l) = 9, and width (w) = 1. What is the volume?

83% Answer Correctly
24
60
81
384

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 9 x 9 x 1
v = 81


4

A coordinate grid is composed of which of the following?

92% Answer Correctly

y-axis

all of these

origin

x-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

On this circle, line segment CD is the:

46% Answer Correctly

radius

diameter

circumference

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).