ASVAB Math Knowledge Practice Test 993715 Results

Your Results Global Average
Questions 5 5
Correct 0 3.41
Score 0% 68%

Review

1

What is 2a + 7a?

81% Answer Correctly
a2
14a2
-5
9a

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.

2a + 7a = 9a


2

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

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

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

Plugging these values into the slope-intercept equation:

y = -2x - 3


3

A right angle measures:

90% Answer Correctly

180°

360°

90°

45°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


4

If AD = 24 and BD = 16, AB = ?

76% Answer Correctly
2
15
17
8

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 = 24 - 16
AB = 8


5

The dimensions of this cube are height (h) = 7, length (l) = 9, and width (w) = 9. What is the surface area?

51% Answer Correctly
52
168
414
148

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 9 x 9) + (2 x 9 x 7) + (2 x 9 x 7)
sa = (162) + (126) + (126)
sa = 414