ASVAB Math Knowledge Practice Test 786150 Results

Your Results Global Average
Questions 5 5
Correct 0 3.46
Score 0% 69%

Review

1

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

77% Answer Correctly

a = π r

a = π d2

a = π d

a = π r2


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.


2

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

88% Answer Correctly

division

pairs

exponents

addition


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.)


3

If a = c = 5, b = d = 7, and the blue angle = 63°, what is the area of this parallelogram?

65% Answer Correctly
8
35
81
54

Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 5 x 7
a = 35


4

If c = -2 and x = 9, what is the value of 7c(c - x)?

68% Answer Correctly
-54
154
84
180

Solution

To solve this equation, 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.)

7c(c - x)
7(-2)(-2 - 9)
7(-2)(-11)
(-14)(-11)
154


5

The endpoints of this line segment are at (-2, -2) and (2, 4). What is the slope of this line?

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

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, 4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)
m = 1\(\frac{1}{2}\)