ASVAB Math Knowledge Practice Test 256979 Results

Your Results Global Average
Questions 5 5
Correct 0 3.07
Score 0% 61%

Review

1

On this circle, line segment AB is the:

71% Answer Correctly

diameter

circumference

radius

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

What is the area of a circle with a radius of 4?

70% Answer Correctly
16π

Solution

The formula for area is πr2:

a = πr2
a = π(42)
a = 16π


3

A right angle measures:

91% Answer Correctly

45°

180°

360°

90°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


4

Solve 9a + 2a = -6a - 3x + 9 for a in terms of x.

34% Answer Correctly
-\(\frac{1}{13}\)x + \(\frac{4}{13}\)
-\(\frac{1}{3}\)x + \(\frac{3}{5}\)
-\(\frac{1}{11}\)x - \(\frac{3}{11}\)
\(\frac{3}{11}\)x + \(\frac{2}{11}\)

Solution

To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.

9a + 2x = -6a - 3x + 9
9a = -6a - 3x + 9 - 2x
9a + 6a = -3x + 9 - 2x
15a = -5x + 9
a = \( \frac{-5x + 9}{15} \)
a = \( \frac{-5x}{15} \) + \( \frac{9}{15} \)
a = -\(\frac{1}{3}\)x + \(\frac{3}{5}\)


5

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

42% Answer Correctly

slope

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

y-intercept

x-intercept


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.