ASVAB Math Knowledge Practice Test 215495 Results

Your Results Global Average
Questions 5 5
Correct 0 3.33
Score 0% 67%

Review

1

Solve for y:
3y - 8 = \( \frac{y}{-4} \)

46% Answer Correctly
\(\frac{48}{55}\)
2\(\frac{6}{13}\)
4\(\frac{1}{2}\)
1\(\frac{2}{3}\)

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.

3y - 8 = \( \frac{y}{-4} \)
-4 x (3y - 8) = y
(-4 x 3y) + (-4 x -8) = y
-12y + 32 = y
-12y + 32 - y = 0
-12y - y = -32
-13y = -32
y = \( \frac{-32}{-13} \)
y = 2\(\frac{6}{13}\)


2

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

83% Answer Correctly

First

Last

Odd

Inside


Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.


3

The dimensions of this trapezoid are a = 4, b = 5, c = 5, d = 2, and h = 2. What is the area?

50% Answer Correctly
25\(\frac{1}{2}\)
35
10
7

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(5 + 2)(2)
a = ½(7)(2)
a = ½(14) = \( \frac{14}{2} \)
a = 7


4

What is 3a + 2a?

81% Answer Correctly
5a2
a2
5a
6a

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.

3a + 2a = 5a


5

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

you can multiply monomials that have different variables and different exponents

all of these statements are correct

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


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.