ASVAB Math Knowledge Practice Test 529979 Results

Your Results Global Average
Questions 5 5
Correct 0 3.16
Score 0% 63%

Review

1

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

2lw x 2wh + 2lh

h x l x w

h2 x l2 x w2

lw x wh + lh


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.


2

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can add monomials that have the same variable and the same exponent

all of these statements are correct

you can subtract monomials that have the same variable and the same exponent

you can multiply monomials that have different variables and different exponents


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


3

Solve for b:
b2 + 4b - 5 = 0

58% Answer Correctly
1 or -5
-2 or -5
5 or 2
9 or 7

Solution

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

b2 + 4b - 5 = 0
(b - 1)(b + 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 1) or (b + 5) must equal zero:

If (b - 1) = 0, b must equal 1
If (b + 5) = 0, b must equal -5

So the solution is that b = 1 or -5


4

Solve for z:
-6z + 3 = \( \frac{z}{7} \)

46% Answer Correctly
\(\frac{3}{4}\)
-1\(\frac{1}{5}\)
\(\frac{21}{43}\)
-7\(\frac{7}{8}\)

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 equal sign and the answer on the other.

-6z + 3 = \( \frac{z}{7} \)
7 x (-6z + 3) = z
(7 x -6z) + (7 x 3) = z
-42z + 21 = z
-42z + 21 - z = 0
-42z - z = -21
-43z = -21
z = \( \frac{-21}{-43} \)
z = \(\frac{21}{43}\)


5

What is 8a9 - 6a9?

73% Answer Correctly
a918
14
14a18
2a9

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.

8a9 - 6a9 = 2a9