ASVAB Math Knowledge Practice Test 858739 Results

Your Results Global Average
Questions 5 5
Correct 0 3.03
Score 0% 61%

Review

1

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

24% Answer Correctly

c = π d2

c = π d

c = π r

c = 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

On this circle, line segment AB is the:

70% Answer Correctly

diameter

radius

chord

circumference


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


3

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

88% Answer Correctly

exponents

pairs

division

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.)


4

Find the value of b:
b + x = 7
8b + 9x = -8

42% Answer Correctly
71
2\(\frac{5}{8}\)
\(\frac{20}{23}\)
-\(\frac{26}{27}\)

Solution

You need to find the value of b so solve the first equation in terms of x:

b + x = 7
x = 7 - b

then substitute the result (7 - 1b) into the second equation:

8b + 9(7 - b) = -8
8b + (9 x 7) + (9 x -b) = -8
8b + 63 - 9b = -8
8b - 9b = -8 - 63
-b = -71
b = \( \frac{-71}{-1} \)
b = 71


5

What is 8a2 + 3a2?

75% Answer Correctly
11a2
5a4
11a4
5

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.

8a2 + 3a2 = 11a2