ASVAB Math Knowledge Practice Test 635910 Results

Your Results Global Average
Questions 5 5
Correct 0 3.16
Score 0% 63%

Review

1

Solve for b:
-4b - 3 > -5 + 6b

55% Answer Correctly
b > -\(\frac{7}{9}\)
b > \(\frac{1}{5}\)
b > -1
b > \(\frac{3}{5}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

-4b - 3 > -5 + 6b
-4b > -5 + 6b + 3
-4b - 6b > -5 + 3
-10b > -2
b > \( \frac{-2}{-10} \)
b > \(\frac{1}{5}\)


2

The dimensions of this cube are height (h) = 5, length (l) = 4, and width (w) = 2. What is the volume?

83% Answer Correctly
96
14
30
40

Solution

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

v = h x l x w
v = 5 x 4 x 2
v = 40


3

What is the area of a circle with a diameter of 10?

70% Answer Correctly
25π
16π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π


4

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

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

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 0. 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, 3) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)
m = 1\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = 1\(\frac{1}{2}\)x + 0


5

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

68% Answer Correctly

h2 x l2 x w2

lw x wh + lh

h x l x w

2lw x 2wh + 2lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.