ASVAB Math Knowledge Practice Test 720176 Results

Your Results Global Average
Questions 5 5
Correct 0 2.43
Score 0% 49%

Review

1

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

chord

diameter

radius

circumference


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


2

What is the circumference of a circle with a diameter of 4?

71% Answer Correctly
17π
10π
19π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 4π


3

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

24% Answer Correctly

c = π d

c = π d2

c = π r

c = π r2


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.


4

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

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

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

Plugging these values into the slope-intercept equation:

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


5

Simplify (5a)(8ab) - (6a2)(2b).

62% Answer Correctly
28a2b
104a2b
52a2b
-28ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(5a)(8ab) - (6a2)(2b)
(5 x 8)(a x a x b) - (6 x 2)(a2 x b)
(40)(a1+1 x b) - (12)(a2b)
40a2b - 12a2b
28a2b