ASVAB Math Knowledge Practice Test 706611 Results

Your Results Global Average
Questions 5 5
Correct 0 3.44
Score 0% 69%

Review

1

Solve for b:
3b - 3 > 4 + b

55% Answer Correctly
b > 1\(\frac{4}{5}\)
b > 3\(\frac{1}{2}\)
b > \(\frac{2}{9}\)
b > -\(\frac{2}{5}\)

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 > sign and the answer on the other.

3b - 3 > 4 + b
3b > 4 + b + 3
3b - b > 4 + 3
2b > 7
b > \( \frac{7}{2} \)
b > 3\(\frac{1}{2}\)


2

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

83% Answer Correctly

Last

Odd

Inside

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.


3

What is 4a + 8a?

81% Answer Correctly
12a2
12a
12
-4a2

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.

4a + 8a = 12a


4

The formula for the area of a circle is which of the following?

77% Answer Correctly

a = π d2

a = π d

a = π r2

a = π r


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


5

Solve for y:
8y - 7 = \( \frac{y}{-6} \)

46% Answer Correctly
1\(\frac{19}{53}\)
\(\frac{6}{7}\)
\(\frac{72}{73}\)
5\(\frac{5}{6}\)

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.

8y - 7 = \( \frac{y}{-6} \)
-6 x (8y - 7) = y
(-6 x 8y) + (-6 x -7) = y
-48y + 42 = y
-48y + 42 - y = 0
-48y - y = -42
-49y = -42
y = \( \frac{-42}{-49} \)
y = \(\frac{6}{7}\)