ASVAB Math Knowledge Practice Test 797680 Results

Your Results Global Average
Questions 5 5
Correct 0 2.89
Score 0% 58%

Review

1

Breaking apart a quadratic expression into a pair of binomials is called:

74% Answer Correctly

factoring

deconstructing

squaring

normalizing


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.


2

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

46% Answer Correctly

circumference

chord

diameter

radius


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).


3

If the base of this triangle is 9 and the height is 5, what is the area?

58% Answer Correctly
49\(\frac{1}{2}\)
60
22\(\frac{1}{2}\)
27\(\frac{1}{2}\)

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 9 x 5 = \( \frac{45}{2} \) = 22\(\frac{1}{2}\)


4

Find the value of b:
4b + z = 1
3b - 6z = 5

41% Answer Correctly
\(\frac{2}{3}\)
\(\frac{2}{9}\)
\(\frac{11}{27}\)
-1\(\frac{10}{17}\)

Solution

You need to find the value of b so solve the first equation in terms of z:

4b + z = 1
z = 1 - 4b

then substitute the result (1 - 4b) into the second equation:

3b - 6(1 - 4b) = 5
3b + (-6 x 1) + (-6 x -4b) = 5
3b - 6 + 24b = 5
3b + 24b = 5 + 6
27b = 11
b = \( \frac{11}{27} \)
b = \(\frac{11}{27}\)


5

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

h2 x l2 x w2

2lw x 2wh + 2lh

h x l x w

lw x wh + lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.