ASVAB Math Knowledge Practice Test 629058 Results

Your Results Global Average
Questions 5 5
Correct 0 3.61
Score 0% 72%

Review

1

A coordinate grid is composed of which of the following?

88% Answer Correctly

x-axis

y-axis

all of these

origin


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.


2

Simplify (y + 2)(y + 8)

62% Answer Correctly
y2 - 6y - 16
y2 - 10y + 16
y2 + 10y + 16
y2 + 6y - 16

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 + 2)(y + 8)
(y x y) + (y x 8) + (2 x y) + (2 x 8)
y2 + 8y + 2y + 16
y2 + 10y + 16


3

Simplify 6a x 8b.

85% Answer Correctly
48ab
48a2b2
48\( \frac{b}{a} \)
14ab

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

6a x 8b = (6 x 8) (a x b) = 48ab


4

If side x = 14cm, side y = 15cm, and side z = 6cm what is the perimeter of this triangle?

84% Answer Correctly
33cm
30cm
24cm
35cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 14cm + 15cm + 6cm = 35cm


5

The endpoints of this line segment are at (-2, 5) and (2, -3). What is the slope-intercept equation for this line?

41% Answer Correctly
y = -2x + 1
y = 3x - 2
y = 2\(\frac{1}{2}\)x + 1
y = -3x - 4

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 1. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 5) and (2, -3) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)
m = -2

Plugging these values into the slope-intercept equation:

y = -2x + 1