ASVAB Math Knowledge Practice Test 188241 Results

Your Results Global Average
Questions 5 5
Correct 0 2.88
Score 0% 58%

Review

1

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

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

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

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


2

Solve for z:
10z + 9 = -2 + 9z

59% Answer Correctly
4
-1
-11
\(\frac{4}{7}\)

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 equal sign and the answer on the other.

10z + 9 = -2 + 9z
10z = -2 + 9z - 9
10z - 9z = -2 - 9
z = -11


3

What is 2a5 - 3a5?

74% Answer Correctly
-1a5
a510
-a10
5

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

2a5 - 3a5 = -1a5


4

The endpoints of this line segment are at (-2, -4) and (2, 6). What is the slope-intercept equation for this line?

41% Answer Correctly
y = 2\(\frac{1}{2}\)x + 1
y = 2\(\frac{1}{2}\)x + 0
y = x - 2
y = \(\frac{1}{2}\)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, 6) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)
m = 2\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

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


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

h x l x w

2lw x 2wh + 2lh

h2 x l2 x w2

lw x wh + lh


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.