ASVAB Math Knowledge Practice Test 178527 Results

Your Results Global Average
Questions 5 5
Correct 0 3.69
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

division

exponents

pairs

addition


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

Solve for z:
z2 - 16 = 0

58% Answer Correctly
-1 or -3
4 or -6
4 or -4
2 or -6

Solution

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

z2 - 16 = 0
(z - 4)(z + 4) = 0

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

If (z - 4) = 0, z must equal 4
If (z + 4) = 0, z must equal -4

So the solution is that z = 4 or -4


3

Solve for b:
-7b + 6 < -5 - 2b

55% Answer Correctly
b < 1\(\frac{1}{8}\)
b < -2\(\frac{1}{3}\)
b < -4
b < 2\(\frac{1}{5}\)

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 < sign and the answer on the other.

-7b + 6 < -5 - 2b
-7b < -5 - 2b - 6
-7b + 2b < -5 - 6
-5b < -11
b < \( \frac{-11}{-5} \)
b < 2\(\frac{1}{5}\)


4

The dimensions of this cube are height (h) = 5, length (l) = 3, and width (w) = 4. What is the volume?

82% Answer Correctly
216
224
60
108

Solution

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

v = h x l x w
v = 5 x 3 x 4
v = 60


5

If side x = 9cm, side y = 14cm, and side z = 6cm what is the perimeter of this triangle?

84% Answer Correctly
30cm
29cm
37cm
21cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 9cm + 14cm + 6cm = 29cm