ASVAB Math Knowledge Practice Test 602808 Results

Your Results Global Average
Questions 5 5
Correct 0 3.50
Score 0% 70%

Review

1

If angle a = 50° and angle b = 67° what is the length of angle c?

71% Answer Correctly
111°
121°
91°
63°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 50° - 67° = 63°


2

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

46% Answer Correctly
1\(\frac{13}{15}\)
\(\frac{4}{27}\)
1\(\frac{3}{5}\)
\(\frac{8}{21}\)

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.

8a - 3 = \( \frac{a}{8} \)
8 x (8a - 3) = a
(8 x 8a) + (8 x -3) = a
64a - 24 = a
64a - 24 - a = 0
64a - a = 24
63a = 24
a = \( \frac{24}{63} \)
a = \(\frac{8}{21}\)


3

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

addition

exponents

pairs

division


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)


4

If BD = 21 and AD = 28, AB = ?

76% Answer Correctly
7
16
5
9

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 = 28 - 21
AB = 7


5

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

lw x wh + lh

2lw x 2wh + 2lh

h2 x l2 x w2

h x l x w


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.