ASVAB Math Knowledge Practice Test 833100 Results

Your Results Global Average
Questions 5 5
Correct 0 3.20
Score 0% 64%

Review

1

The endpoints of this line segment are at (-2, 10) and (2, -2). What is the slope-intercept equation for this line?

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

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (10.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)
m = -3

Plugging these values into the slope-intercept equation:

y = -3x + 4


2

Solve for b:
9b + 8 > \( \frac{b}{6} \)

44% Answer Correctly
b > -\(\frac{48}{53}\)
b > -\(\frac{12}{13}\)
b > \(\frac{48}{55}\)
b > \(\frac{9}{53}\)

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.

9b + 8 > \( \frac{b}{6} \)
6 x (9b + 8) > b
(6 x 9b) + (6 x 8) > b
54b + 48 > b
54b + 48 - b > 0
54b - b > -48
53b > -48
b > \( \frac{-48}{53} \)
b > -\(\frac{48}{53}\)


3

The dimensions of this cylinder are height (h) = 5 and radius (r) = 2. What is the volume?

62% Answer Correctly
567π
20π
125π
288π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(22 x 5)
v = 20π


4

A coordinate grid is composed of which of the following?

88% Answer Correctly

y-axis

all of these

x-axis

origin


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


5

What is 7a + 5a?

81% Answer Correctly
12
35a
12a
35a2

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.

7a + 5a = 12a