ASVAB Math Knowledge Practice Test 28242 Results

Your Results Global Average
Questions 5 5
Correct 0 3.27
Score 0% 65%

Review

1

The endpoints of this line segment are at (-2, 5) and (2, -7). What is the slope of this line?

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

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, 5) and (2, -7) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)
m = -3


2

Which of the following statements about math operations is incorrect?

71% Answer Correctly

all of these statements are correct

you can subtract monomials that have the same variable and the same exponent

you can add monomials that have the same variable and the same exponent

you can multiply monomials that have different variables and different exponents


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


3

What is the circumference of a circle with a diameter of 11?

71% Answer Correctly
24π
36π
11π
22π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 11π


4

If the base of this triangle is 4 and the height is 7, what is the area?

58% Answer Correctly
67\(\frac{1}{2}\)
49\(\frac{1}{2}\)
14
37\(\frac{1}{2}\)

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 4 x 7 = \( \frac{28}{2} \) = 14


5

What is 9a - 4a?

80% Answer Correctly
36a
36a2
5a
13

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.

9a - 4a = 5a