ASVAB Math Knowledge Practice Test 309061 Results

Your Results Global Average
Questions 5 5
Correct 0 3.42
Score 0% 68%

Review

1

The endpoints of this line segment are at (-2, 0) and (2, -2). What is the slope of this line?

46% Answer Correctly
-1\(\frac{1}{2}\)
-3
1\(\frac{1}{2}\)
-\(\frac{1}{2}\)

Solution

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, 0) and (2, -2) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)
m = -\(\frac{1}{2}\)


2

The dimensions of this trapezoid are a = 4, b = 3, c = 5, d = 2, and h = 3. What is the area?

51% Answer Correctly
7\(\frac{1}{2}\)
21
6
18

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(3 + 2)(3)
a = ½(5)(3)
a = ½(15) = \( \frac{15}{2} \)
a = 7\(\frac{1}{2}\)


3

Order the following types of angle from least number of degrees to most number of degrees.

75% Answer Correctly

acute, right, obtuse

acute, obtuse, right

right, acute, obtuse

right, obtuse, acute


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


4

A coordinate grid is composed of which of the following?

88% Answer Correctly

y-axis

origin

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.


5

What is 4a - 5a?

79% Answer Correctly
-1a
20a2
20a
9

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

4a - 5a = -1a