ASVAB Math Knowledge Practice Test 756340 Results

Your Results Global Average
Questions 5 5
Correct 0 2.68
Score 0% 54%

Review

1

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

46% Answer Correctly

circumference

chord

radius

diameter


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).


2

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

41% Answer Correctly
y = -3x - 1
y = -2\(\frac{1}{2}\)x + 1
y = -\(\frac{1}{2}\)x - 4
y = -\(\frac{1}{2}\)x + 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, 5) and (2, -7) so the slope becomes:

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

Plugging these values into the slope-intercept equation:

y = -3x - 1


3

If the length of AB equals the length of BD, point B __________ this line segment.

45% Answer Correctly

bisects

trisects

midpoints

intersects


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.


4

Simplify (y + 8)(y + 5)

62% Answer Correctly
y2 + 13y + 40
y2 - 3y - 40
y2 + 3y - 40
y2 - 13y + 40

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 + 8)(y + 5)
(y x y) + (y x 5) + (8 x y) + (8 x 5)
y2 + 5y + 8y + 40
y2 + 13y + 40


5

Order the following types of angle from least number of degrees to most number of degrees.

74% Answer Correctly

right, obtuse, acute

right, acute, obtuse

acute, right, obtuse

acute, obtuse, right


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.