ASVAB Math Knowledge Practice Test 809362 Results

Your Results Global Average
Questions 5 5
Correct 0 3.09
Score 0% 62%

Review

1

A trapezoid is a quadrilateral with one set of __________ sides.

71% Answer Correctly

parallel

equal angle

equal length

right angle


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


2

On this circle, line segment AB is the:

72% Answer Correctly

chord

radius

diameter

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?

92% 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

Solve for x:
x2 + 13x - 13 = 5x - 4

49% Answer Correctly
8 or -2
1 or -9
6 or -1
4 or -6

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

x2 + 13x - 13 = 5x - 4
x2 + 13x - 13 + 4 = 5x
x2 + 13x - 5x - 9 = 0
x2 + 8x - 9 = 0

Next, factor the quadratic equation:

x2 + 8x - 9 = 0
(x - 1)(x + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 1) or (x + 9) must equal zero:

If (x - 1) = 0, x must equal 1
If (x + 9) = 0, x must equal -9

So the solution is that x = 1 or -9


5

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

24% Answer Correctly

c = π r

c = π r2

c = π d

c = π d2


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.