ASVAB Math Knowledge Practice Test 875246 Results

Your Results Global Average
Questions 5 5
Correct 0 2.75
Score 0% 55%

Review

1

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

42% Answer Correctly

x-intercept

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

slope

y-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.


2

What is the area of a circle with a radius of 2?

69% Answer Correctly
49π

Solution

The formula for area is πr2:

a = πr2
a = π(22)
a = 4π


3

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

all acute angles equal each other

angles in the same position on different parallel lines are called corresponding angles

all of the angles formed by a transversal are called interior angles

same-side interior angles are complementary and equal each other


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).


4

Solve for c:
c2 + 9c + 14 = 0

58% Answer Correctly
-3 or -6
6 or 1
9 or -8
-2 or -7

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

c2 + 9c + 14 = 0
(c + 2)(c + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 2) or (c + 7) must equal zero:

If (c + 2) = 0, c must equal -2
If (c + 7) = 0, c must equal -7

So the solution is that c = -2 or -7


5

On this circle, line segment AB is the:

70% Answer Correctly

chord

radius

circumference

diameter


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).