ASVAB Math Knowledge Practice Test 100533 Results

Your Results Global Average
Questions 5 5
Correct 0 3.09
Score 0% 62%

Review

1

If BD = 12 and AD = 21, AB = ?

76% Answer Correctly
5
4
10
9

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 = 21 - 12
AB = 9


2

Solve for b:
b2 + 2b - 33 = 3b - 3

48% Answer Correctly
-5 or 6
-2 or -7
9 or -8
2 or -8

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

b2 + 2b - 33 = 3b - 3
b2 + 2b - 33 + 3 = 3b
b2 + 2b - 3b - 30 = 0
b2 - b - 30 = 0

Next, factor the quadratic equation:

b2 - b - 30 = 0
(b + 5)(b - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 5) or (b - 6) must equal zero:

If (b + 5) = 0, b must equal -5
If (b - 6) = 0, b must equal 6

So the solution is that b = -5 or 6


3

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

68% Answer Correctly

2lw x 2wh + 2lh

h2 x l2 x w2

lw x wh + lh

h x l x w


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.


4

Solve for x:
8x - 4 = \( \frac{x}{9} \)

46% Answer Correctly
\(\frac{36}{71}\)
-1\(\frac{5}{31}\)
1\(\frac{9}{16}\)
-1\(\frac{2}{19}\)

Solution

To solve this equation, 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.

8x - 4 = \( \frac{x}{9} \)
9 x (8x - 4) = x
(9 x 8x) + (9 x -4) = x
72x - 36 = x
72x - 36 - x = 0
72x - x = 36
71x = 36
x = \( \frac{36}{71} \)
x = \(\frac{36}{71}\)


5

What is the area of a circle with a diameter of 8?

70% Answer Correctly
16π
81π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π