ASVAB Math Knowledge Practice Test 16653 Results

Your Results Global Average
Questions 5 5
Correct 0 2.46
Score 0% 49%

Review

1

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

41% Answer Correctly
y = -\(\frac{1}{2}\)x - 4
y = -3x - 3
y = 3x - 4
y = 1\(\frac{1}{2}\)x + 1

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, -2) and (2, 4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)
m = 1\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

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


2

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π d2

c = π r2

c = π r

c = π d


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


3

The dimensions of this cube are height (h) = 1, length (l) = 3, and width (w) = 9. What is the volume?

83% Answer Correctly
24
27
175
12

Solution

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

v = h x l x w
v = 1 x 3 x 9
v = 27


4

The dimensions of this cylinder are height (h) = 4 and radius (r) = 8. What is the surface area?

48% Answer Correctly
112π
30π
192π
96π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 4)
sa = 2π(64) + 2π(32)
sa = (2 x 64)π + (2 x 32)π
sa = 128π + 64π
sa = 192π


5

The dimensions of this cube are height (h) = 3, length (l) = 2, and width (w) = 1. What is the surface area?

51% Answer Correctly
54
22
238
228

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 2 x 1) + (2 x 1 x 3) + (2 x 2 x 3)
sa = (4) + (6) + (12)
sa = 22