ASVAB Math Knowledge Practice Test 80897 Results

Your Results Global Average
Questions 5 5
Correct 0 3.40
Score 0% 68%

Review

1

Solve for x:
x2 - 5x - 32 = -3x + 3

48% Answer Correctly
3 or 1
-2 or -6
7 or -3
-5 or 7

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:

x2 - 5x - 32 = -3x + 3
x2 - 5x - 32 - 3 = -3x
x2 - 5x + 3x - 35 = 0
x2 - 2x - 35 = 0

Next, factor the quadratic equation:

x2 - 2x - 35 = 0
(x + 5)(x - 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 5) or (x - 7) must equal zero:

If (x + 5) = 0, x must equal -5
If (x - 7) = 0, x must equal 7

So the solution is that x = -5 or 7


2

The dimensions of this cube are height (h) = 1, length (l) = 4, and width (w) = 9. What is the volume?

83% Answer Correctly
105
216
50
36

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 1 x 4 x 9
v = 36


3

Solve for c:
c2 - 15c + 54 = 0

58% Answer Correctly
8 or -9
6 or -9
8 or -7
6 or 9

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

c2 - 15c + 54 = 0
(c - 6)(c - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 6) or (c - 9) must equal zero:

If (c - 6) = 0, c must equal 6
If (c - 9) = 0, c must equal 9

So the solution is that c = 6 or 9


4

What is 2a7 - 3a7?

73% Answer Correctly
-1a7
6a14
-1
a714

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.

2a7 - 3a7 = -1a7


5

The formula for the area of a circle is which of the following?

77% Answer Correctly

a = π d

a = π r

a = π d2

a = π r2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.