ASVAB Math Knowledge Practice Test 714197 Results

Your Results Global Average
Questions 5 5
Correct 0 2.66
Score 0% 53%

Review

1

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

24% Answer Correctly

c = π d

c = π r

c = π r2

c = π d2


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.


2

A coordinate grid is composed of which of the following?

88% Answer Correctly

all of these

origin

y-axis

x-axis


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.


3

If a = c = 8, b = d = 9, and the blue angle = 50°, what is the area of this parallelogram?

65% Answer Correctly
24
12
15
72

Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 8 x 9
a = 72


4

The endpoints of this line segment are at (-2, -3) and (2, -5). What is the slope-intercept equation for this line?

41% Answer Correctly
y = -\(\frac{1}{2}\)x - 4
y = -2x + 4
y = 3x + 3
y = -1\(\frac{1}{2}\)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, -3) and (2, -5) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)
m = -\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = -\(\frac{1}{2}\)x - 4


5

If the length of AB equals the length of BD, point B __________ this line segment.

45% Answer Correctly

bisects

trisects

intersects

midpoints


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.