ASVAB Math Knowledge Practice Test 44881 Results

Your Results Global Average
Questions 5 5
Correct 0 3.24
Score 0% 65%

Review

1

On this circle, line segment AB is the:

70% Answer Correctly

radius

circumference

diameter

chord


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

Which of the following expressions contains exactly two terms?

82% Answer Correctly

polynomial

quadratic

binomial

monomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


3

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

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

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

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

Plugging these values into the slope-intercept equation:

y = \(\frac{1}{2}\)x - 3


4

The dimensions of this cube are height (h) = 3, length (l) = 3, and width (w) = 7. What is the surface area?

51% Answer Correctly
222
158
102
30

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 3 x 7) + (2 x 7 x 3) + (2 x 3 x 3)
sa = (42) + (42) + (18)
sa = 102


5

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

problem

equation

expression

formula


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.