ASVAB Math Knowledge Practice Test 95933 Results

Your Results Global Average
Questions 5 5
Correct 0 3.15
Score 0% 63%

Review

1

Solve for b:
-8b + 3 = -6 - 2b

60% Answer Correctly
\(\frac{2}{5}\)
1\(\frac{1}{2}\)
-4
-\(\frac{2}{3}\)

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.

-8b + 3 = -6 - 2b
-8b = -6 - 2b - 3
-8b + 2b = -6 - 3
-6b = -9
b = \( \frac{-9}{-6} \)
b = 1\(\frac{1}{2}\)


2

Find the value of a:
-3a + z = -1
3a - 5z = -5

42% Answer Correctly
\(\frac{5}{6}\)
2\(\frac{1}{17}\)
-1\(\frac{10}{19}\)
\(\frac{5}{18}\)

Solution

You need to find the value of a so solve the first equation in terms of z:

-3a + z = -1
z = -1 + 3a

then substitute the result (-1 - -3a) into the second equation:

3a - 5(-1 + 3a) = -5
3a + (-5 x -1) + (-5 x 3a) = -5
3a + 5 - 15a = -5
3a - 15a = -5 - 5
-12a = -10
a = \( \frac{-10}{-12} \)
a = \(\frac{5}{6}\)


3

What is the circumference of a circle with a diameter of 18?

71% Answer Correctly
17π
18π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 18π


4

If BD = 20 and AD = 25, AB = ?

76% Answer Correctly
11
18
7
5

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 25 - 20
AB = 5


5

Simplify (y - 1)(y + 7)

64% Answer Correctly
y2 - 6y - 7
y2 + 8y + 7
y2 + 6y - 7
y2 - 8y + 7

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:

(y - 1)(y + 7)
(y x y) + (y x 7) + (-1 x y) + (-1 x 7)
y2 + 7y - y - 7
y2 + 6y - 7