ASVAB Math Knowledge Practice Test 518636 Results

Your Results Global Average
Questions 5 5
Correct 0 3.02
Score 0% 60%

Review

1

On this circle, line segment CD is the:

46% Answer Correctly

circumference

radius

chord

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

Simplify 6a x 3b.

86% Answer Correctly
9ab
18a2b2
18\( \frac{b}{a} \)
18ab

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.

6a x 3b = (6 x 3) (a x b) = 18ab


3

The dimensions of this cube are height (h) = 3, length (l) = 5, and width (w) = 1. What is the surface area?

51% Answer Correctly
46
142
192
288

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 5 x 1) + (2 x 1 x 3) + (2 x 5 x 3)
sa = (10) + (6) + (30)
sa = 46


4

If BD = 25 and AD = 26, AB = ?

76% Answer Correctly
2
13
7
1

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 26 - 25
AB = 1


5

The endpoints of this line segment are at (-2, -3) and (2, 7). What is the slope-intercept equation for this line?

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

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(7.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)
m = 2\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

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