ASVAB Math Knowledge Practice Test 146017 Results

Your Results Global Average
Questions 5 5
Correct 0 3.74
Score 0% 75%

Review

1

The endpoints of this line segment are at (-2, 0) and (2, 6). What is the slope of this line?

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

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, 6) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (0.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)
m = 1\(\frac{1}{2}\)


2

What is 8a - 6a?

80% Answer Correctly
2a
48a2
14
14a2

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.

8a - 6a = 2a


3

What is the area of a circle with a diameter of 10?

69% Answer Correctly
16π
81π
25π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π


4

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

pairs

exponents

addition

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.)


5

A coordinate grid is composed of which of the following?

88% Answer Correctly

x-axis

y-axis

origin

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.