ASVAB Math Knowledge Practice Test 54753 Results

Your Results Global Average
Questions 5 5
Correct 0 2.97
Score 0% 59%

Review

1

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

74% Answer Correctly

normalizing

squaring

deconstructing

factoring


Solution

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


2

If the base of this triangle is 1 and the height is 2, what is the area?

58% Answer Correctly
42
24
1
15

Solution

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

a = ½bh
a = ½ x 1 x 2 = \( \frac{2}{2} \) = 1


3

A cylinder with a radius (r) and a height (h) has a surface area of:

53% Answer Correctly

π r2h

4π r2

2(π r2) + 2π rh

π r2h2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


4

Solve -8a - 2a = a + 7y + 5 for a in terms of y.

34% Answer Correctly
-y - \(\frac{5}{9}\)
-1\(\frac{1}{5}\)y - \(\frac{9}{10}\)
-\(\frac{7}{10}\)y + \(\frac{1}{5}\)
-1\(\frac{5}{6}\)y + \(\frac{1}{2}\)

Solution

To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.

-8a - 2y = a + 7y + 5
-8a = a + 7y + 5 + 2y
-8a - a = 7y + 5 + 2y
-9a = 9y + 5
a = \( \frac{9y + 5}{-9} \)
a = \( \frac{9y}{-9} \) + \( \frac{5}{-9} \)
a = -y - \(\frac{5}{9}\)


5

If AD = 24 and BD = 21, AB = ?

76% Answer Correctly
19
13
8
3

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 24 - 21
AB = 3