ASVAB Math Knowledge Practice Test 591361 Results

Your Results Global Average
Questions 5 5
Correct 0 3.64
Score 0% 73%

Review

1

Solve for a:
-a - 9 = -1 + 5a

59% Answer Correctly
-1\(\frac{3}{5}\)
1
-\(\frac{8}{9}\)
-1\(\frac{1}{3}\)

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.

-a - 9 = -1 + 5a
-a = -1 + 5a + 9
-a - 5a = -1 + 9
-6a = 8
a = \( \frac{8}{-6} \)
a = -1\(\frac{1}{3}\)


2

What is the area of a circle with a diameter of 8?

69% Answer Correctly
49π
16π
25π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π


3

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

expression

problem

equation

formula


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to 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.


4

On this circle, line segment AB is the:

70% Answer Correctly

diameter

circumference

radius

chord


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).


5

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

88% Answer Correctly

pairs

division

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.)