ASVAB Math Knowledge Practice Test 543850 Results

Your Results Global Average
Questions 5 5
Correct 0 3.51
Score 0% 70%

Review

1

Simplify (y - 3)(y + 2)

64% Answer Correctly
y2 - y - 6
y2 - 5y + 6
y2 + 5y + 6
y2 + y - 6

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 3)(y + 2)
(y x y) + (y x 2) + (-3 x y) + (-3 x 2)
y2 + 2y - 3y - 6
y2 - y - 6


2

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

78% Answer Correctly

a = π r2

a = π r

a = π d2

a = π d


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.


3

A coordinate grid is composed of which of the following?

92% Answer Correctly

origin

y-axis

x-axis

all of these


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


4

If a = 2 and y = -9, what is the value of 5a(a - y)?

69% Answer Correctly
-72
-189
110
60

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.)

5a(a - y)
5(2)(2 + 9)
5(2)(11)
(10)(11)
110


5

On this circle, line segment CD is the:

46% Answer Correctly

circumference

radius

chord

diameter


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).