ASVAB Math Knowledge Practice Test 557612 Results

Your Results Global Average
Questions 5 5
Correct 0 2.82
Score 0% 56%

Review

1

The endpoints of this line segment are at (-2, -1) and (2, 7). What is the slope-intercept equation for this line?

41% Answer Correctly
y = 2\(\frac{1}{2}\)x + 4
y = 3x - 1
y = -\(\frac{1}{2}\)x + 0
y = 2x + 3

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 3. 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, -1) and (2, 7) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(7.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)
m = 2

Plugging these values into the slope-intercept equation:

y = 2x + 3


2

Factor y2 + 5y - 14

54% Answer Correctly
(y + 2)(y + 7)
(y + 2)(y - 7)
(y - 2)(y - 7)
(y - 2)(y + 7)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -14 as well and sum (Inside, Outside) to equal 5. For this problem, those two numbers are -2 and 7. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 5y - 14
y2 + (-2 + 7)y + (-2 x 7)
(y - 2)(y + 7)


3

The endpoints of this line segment are at (-2, -8) and (2, 4). What is the slope of this line?

46% Answer Correctly
2
-\(\frac{1}{2}\)
-2\(\frac{1}{2}\)
3

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, -8) and (2, 4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-8.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)
m = 3


4

On this circle, line segment CD is the:

46% Answer Correctly

chord

diameter

circumference

radius


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).


5

A coordinate grid is composed of which of the following?

92% Answer Correctly

origin

all of these

y-axis

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.