ASVAB Math Knowledge Practice Test 283537 Results

Your Results Global Average
Questions 5 5
Correct 0 2.90
Score 0% 58%

Review

1

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

equal angle

equal length

right angle

parallel


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


2

What is 9a + 4a?

81% Answer Correctly
13a
13a2
a2
36a

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.

9a + 4a = 13a


3

The dimensions of this cube are height (h) = 2, length (l) = 7, and width (w) = 4. What is the surface area?

51% Answer Correctly
214
104
100
166

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 7 x 4) + (2 x 4 x 2) + (2 x 7 x 2)
sa = (56) + (16) + (28)
sa = 100


4

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

46% Answer Correctly

radius

chord

diameter

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).


5

The endpoints of this line segment are at (-2, 3) and (2, -7). What is the slope-intercept equation for this line?

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

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)
m = -2\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

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