ASVAB Math Knowledge Practice Test 55727 Results

Your Results Global Average
Questions 5 5
Correct 0 3.56
Score 0% 71%

Review

1

What is 5a - 8a?

79% Answer Correctly
-3a2
40a
40a2
-3a

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.

5a - 8a = -3a


2

If a = 9, b = 1, c = 8, and d = 9, what is the perimeter of this quadrilateral?

88% Answer Correctly
28
27
12
13

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 9 + 1 + 8 + 9
p = 27


3

What is 8a4 + 2a4?

75% Answer Correctly
a48
10a4
16a4
6

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.

8a4 + 2a4 = 10a4


4

Solve for z:
z2 - 13z - 8 = -5z + 1

48% Answer Correctly
9 or -4
4 or -6
5 or -6
-1 or 9

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:

z2 - 13z - 8 = -5z + 1
z2 - 13z - 8 - 1 = -5z
z2 - 13z + 5z - 9 = 0
z2 - 8z - 9 = 0

Next, factor the quadratic equation:

z2 - 8z - 9 = 0
(z + 1)(z - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 1) or (z - 9) must equal zero:

If (z + 1) = 0, z must equal -1
If (z - 9) = 0, z must equal 9

So the solution is that z = -1 or 9


5

If a = c = 1, b = d = 3, and the blue angle = 79°, what is the area of this parallelogram?

65% Answer Correctly
24
3
40
32

Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 1 x 3
a = 3