ASVAB Math Knowledge Practice Test 360585 Results

Your Results Global Average
Questions 5 5
Correct 0 2.80
Score 0% 56%

Review

1

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

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

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)
m = -1\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

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


2

Simplify (5a)(3ab) - (5a2)(2b).

62% Answer Correctly
25ab2
-5ab2
5a2b
25a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(5a)(3ab) - (5a2)(2b)
(5 x 3)(a x a x b) - (5 x 2)(a2 x b)
(15)(a1+1 x b) - (10)(a2b)
15a2b - 10a2b
5a2b


3

On this circle, line segment AB is the:

70% Answer Correctly

diameter

radius

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).


4

The dimensions of this cylinder are height (h) = 8 and radius (r) = 6. What is the volume?

62% Answer Correctly
288π
81π
144π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(62 x 8)
v = 288π


5

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

45% Answer Correctly

bisects

midpoints

intersects

trisects


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.