ASVAB Math Knowledge Practice Test 870880 Results

Your Results Global Average
Questions 5 5
Correct 0 3.31
Score 0% 66%

Review

1

On this circle, line segment AB is the:

70% Answer Correctly

radius

diameter

circumference

chord


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).


2

If side a = 7, side b = 5, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{74} \)
10
\( \sqrt{61} \)
\( \sqrt{82} \)

Solution

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

c2 = a2 + b2
c2 = 72 + 52
c2 = 49 + 25
c2 = 74
c = \( \sqrt{74} \)


3

What is 4a3 - 2a3?

73% Answer Correctly
2a6
6a6
2a3
2

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.

4a3 - 2a3 = 2a3


4

Which of the following expressions contains exactly two terms?

82% Answer Correctly

monomial

quadratic

polynomial

binomial


Solution

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


5

Which of the following is not required to define the slope-intercept equation for a line?

42% Answer Correctly

x-intercept

slope

y-intercept

\({\Delta y \over \Delta x}\)


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.