ASVAB Math Knowledge Practice Test 519278 Results

Your Results Global Average
Questions 5 5
Correct 0 3.91
Score 0% 78%

Review

1

If a = 3, b = 6, c = 6, and d = 8, what is the perimeter of this quadrilateral?

88% Answer Correctly
21
23
10
14
Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 3 + 6 + 6 + 8
p = 23

2

Solve for a:
a2 + 8a + 27 = -4a - 5

48% Answer Correctly
8 or -2
-4 or -8
4 or -4
2 or -2
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:

a2 + 8a + 27 = -4a - 5
a2 + 8a + 27 + 5 = -4a
a2 + 8a + 4a + 32 = 0
a2 + 12a + 32 = 0

Next, factor the quadratic equation:

a2 + 12a + 32 = 0
(a + 4)(a + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 4) or (a + 8) must equal zero:

If (a + 4) = 0, a must equal -4
If (a + 8) = 0, a must equal -8

So the solution is that a = -4 or -8

3

A right angle measures:

90% Answer Correctly

90°

360°

180°

45°
Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.

4

If AD = 20 and BD = 16, AB = ?

75% Answer Correctly
4
15
5
14
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 = 20 - 16
AB = 4

5

A coordinate grid is composed of which of the following?

88% Answer Correctly

origin

y-axis

all of these

x-axis
Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.