ASVAB Math Knowledge Practice Test 203030 Results

Your Results Global Average
Questions 5 5
Correct 0 2.89
Score 0% 58%

Review

1

What is the circumference of a circle with a diameter of 18?

71% Answer Correctly
26π
12π
22π
18π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 18π


2

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

41% Answer Correctly

y-intercept

x-intercept

slope

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


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.


3

Factor y2 - 2y - 8

54% Answer Correctly
(y + 4)(y + 2)
(y - 4)(y + 2)
(y + 4)(y - 2)
(y - 4)(y - 2)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -8 as well and sum (Inside, Outside) to equal -2. For this problem, those two numbers are -4 and 2. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 2y - 8
y2 + (-4 + 2)y + (-4 x 2)
(y - 4)(y + 2)


4

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

60% Answer Correctly

vertical, supplementary

supplementary, vertical

acute, obtuse

obtuse, acute


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


5

If side a = 2, side b = 6, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{5} \)
\( \sqrt{32} \)
\( \sqrt{40} \)
\( \sqrt{37} \)

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 + 62
c2 = 4 + 36
c2 = 40
c = \( \sqrt{40} \)