ASVAB Math Knowledge Practice Test 221977 Results

Your Results Global Average
Questions 5 5
Correct 0 2.95
Score 0% 59%

Review

1

Simplify (y + 3)(y + 8)

62% Answer Correctly
y2 + 11y + 24
y2 + 5y - 24
y2 - 11y + 24
y2 - 5y - 24

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 + 8)
(y x y) + (y x 8) + (3 x y) + (3 x 8)
y2 + 8y + 3y + 24
y2 + 11y + 24


2

The dimensions of this cylinder are height (h) = 2 and radius (r) = 1. What is the volume?

62% Answer Correctly
80π
24π
100π
2π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(12 x 2)
v = 2π


3

Solve -5a + 2a = 8a + 4x - 3 for a in terms of x.

34% Answer Correctly
-6x - 4\(\frac{1}{2}\)
\(\frac{8}{15}\)x - \(\frac{4}{15}\)
\(\frac{7}{12}\)x + \(\frac{3}{4}\)
-\(\frac{2}{13}\)x + \(\frac{3}{13}\)

Solution

To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.

-5a + 2x = 8a + 4x - 3
-5a = 8a + 4x - 3 - 2x
-5a - 8a = 4x - 3 - 2x
-13a = 2x - 3
a = \( \frac{2x - 3}{-13} \)
a = \( \frac{2x}{-13} \) + \( \frac{-3}{-13} \)
a = -\(\frac{2}{13}\)x + \(\frac{3}{13}\)


4

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

circumference

chord

diameter

radius


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

A coordinate grid is composed of which of the following?

88% Answer Correctly

all of these

x-axis

origin

y-axis


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.