ASVAB Math Knowledge Practice Test 312640 Results

Your Results Global Average
Questions 5 5
Correct 0 2.93
Score 0% 59%

Review

1

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

82% Answer Correctly

Inside

Odd

Last

First


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.


2

If side x = 11cm, side y = 6cm, and side z = 15cm what is the perimeter of this triangle?

84% Answer Correctly
32cm
23cm
38cm
31cm

Solution

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

p = x + y + z
p = 11cm + 6cm + 15cm = 32cm


3

Solve 7b + 7b = 6b - 5z - 8 for b in terms of z.

34% Answer Correctly
-8z - 4
-12z - 8
z + 1\(\frac{1}{2}\)
-\(\frac{1}{2}\)z + \(\frac{1}{5}\)

Solution

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

7b + 7z = 6b - 5z - 8
7b = 6b - 5z - 8 - 7z
7b - 6b = -5z - 8 - 7z
b = -12z - 8


4

Solve for b:
-5b + 6 = \( \frac{b}{-2} \)

46% Answer Correctly
1\(\frac{1}{3}\)
-\(\frac{6}{19}\)
1\(\frac{1}{11}\)
-3\(\frac{13}{17}\)

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.

-5b + 6 = \( \frac{b}{-2} \)
-2 x (-5b + 6) = b
(-2 x -5b) + (-2 x 6) = b
10b - 12 = b
10b - 12 - b = 0
10b - b = 12
9b = 12
b = \( \frac{12}{9} \)
b = 1\(\frac{1}{3}\)


5

The endpoints of this line segment are at (-2, 2) and (2, -10). What is the slope of this line?

46% Answer Correctly
-3
\(\frac{1}{2}\)
-1\(\frac{1}{2}\)
1

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 2) and (2, -10) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-10.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)
m = -3