ASVAB Math Knowledge Practice Test 538328 Results

Your Results Global Average
Questions 5 5
Correct 0 3.26
Score 0% 65%

Review

1

The dimensions of this cube are height (h) = 5, length (l) = 6, and width (w) = 3. What is the surface area?

51% Answer Correctly
170
416
126
150

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 6 x 3) + (2 x 3 x 5) + (2 x 6 x 5)
sa = (36) + (30) + (60)
sa = 126


2

Which of the following statements about math operations is incorrect?

70% Answer Correctly

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

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

you can multiply monomials that have different variables and different exponents

all of these statements are correct


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 y:
6y - 9 = \( \frac{y}{3} \)

46% Answer Correctly
1\(\frac{10}{17}\)
-\(\frac{8}{31}\)
1\(\frac{11}{34}\)
\(\frac{14}{43}\)

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.

6y - 9 = \( \frac{y}{3} \)
3 x (6y - 9) = y
(3 x 6y) + (3 x -9) = y
18y - 27 = y
18y - 27 - y = 0
18y - y = 27
17y = 27
y = \( \frac{27}{17} \)
y = 1\(\frac{10}{17}\)


4

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

problem

equation

expression

formula


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to 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.


5

What is 2a + 3a?

80% Answer Correctly
5a
-a2
-1
6a2

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.

2a + 3a = 5a