ASVAB Math Knowledge Practice Test 979543 Results

Your Results Global Average
Questions 5 5
Correct 0 2.99
Score 0% 60%

Review

1

The formula for the area of a circle is which of the following?

24% Answer Correctly

c = π d

c = π r

c = π r2

c = π d2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


2

The endpoints of this line segment are at (-2, 2) and (2, -4). What is the slope-intercept equation for this line?

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

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, 2) and (2, -4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)
m = -1\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = -1\(\frac{1}{2}\)x - 1


3

Simplify 5a x 2b.

86% Answer Correctly
7ab
10a2b2
10\( \frac{a}{b} \)
10ab

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.

5a x 2b = (5 x 2) (a x b) = 10ab


4

Which of the following expressions contains exactly two terms?

82% Answer Correctly

monomial

quadratic

binomial

polynomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


5

If side a = 2, side b = 5, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{20} \)
\( \sqrt{26} \)
\( \sqrt{90} \)
\( \sqrt{29} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 22 + 52
c2 = 4 + 25
c2 = 29
c = \( \sqrt{29} \)