ASVAB Math Knowledge Practice Test 264347 Results

Your Results Global Average
Questions 5 5
Correct 0 3.31
Score 0% 66%

Review

1

Solve for b:
b2 - 18b + 55 = -3b - 1

48% Answer Correctly
7 or 8
-1 or -6
3 or -6
5 or -8

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 - 18b + 55 = -3b - 1
b2 - 18b + 55 + 1 = -3b
b2 - 18b + 3b + 56 = 0
b2 - 15b + 56 = 0

Next, factor the quadratic equation:

b2 - 15b + 56 = 0
(b - 7)(b - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 7) or (b - 8) must equal zero:

If (b - 7) = 0, b must equal 7
If (b - 8) = 0, b must equal 8

So the solution is that b = 7 or 8


2

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

87% Answer Correctly

exponents

division

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.)


3

What is 8a3 + 8a3?

74% Answer Correctly
16a3
0
16
64a3

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.

8a3 + 8a3 = 16a3


4

The dimensions of this cube are height (h) = 8, length (l) = 1, and width (w) = 2. What is the surface area?

51% Answer Correctly
166
52
126
104

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 1 x 2) + (2 x 2 x 8) + (2 x 1 x 8)
sa = (4) + (32) + (16)
sa = 52


5

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

lw x wh + lh

h x l x w

h2 x l2 x w2

2lw x 2wh + 2lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.