ASVAB Math Knowledge Practice Test 112597 Results

Your Results Global Average
Questions 5 5
Correct 0 3.72
Score 0% 74%

Review

1

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

pairs

addition

division

exponents


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)


2

The dimensions of this cube are height (h) = 9, length (l) = 8, and width (w) = 4. What is the volume?

83% Answer Correctly
288
70
8
63

Solution

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

v = h x l x w
v = 9 x 8 x 4
v = 288


3

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

77% Answer Correctly

a = π r2

a = π d2

a = π r

a = π d


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.


4

Solve for b:
b2 + 6b + 3 = b - 3

48% Answer Correctly
5 or 1
9 or 8
-2 or -3
9 or -6

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 + 6b + 3 = b - 3
b2 + 6b + 3 + 3 = b
b2 + 6b - b + 6 = 0
b2 + 5b + 6 = 0

Next, factor the quadratic equation:

b2 + 5b + 6 = 0
(b + 2)(b + 3) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 2) or (b + 3) must equal zero:

If (b + 2) = 0, b must equal -2
If (b + 3) = 0, b must equal -3

So the solution is that b = -2 or -3


5

What is 3a3 - 8a3?

73% Answer Correctly
-5a6
-5a3
24a3
a36

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.

3a3 - 8a3 = -5a3