ASVAB Math Knowledge Practice Test 742238 Results

Your Results Global Average
Questions 5 5
Correct 0 2.44
Score 0% 49%

Review

1

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

rhombus

triangle

quadrilateral

trapezoid


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


2

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

42% Answer Correctly

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

slope

x-intercept

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.


3

Solve 9c - 8c = -7c + 7z + 2 for c in terms of z.

34% Answer Correctly
3\(\frac{2}{5}\)z + 1\(\frac{4}{5}\)
-4z + 1\(\frac{1}{4}\)
-14z - 9
\(\frac{15}{16}\)z + \(\frac{1}{8}\)

Solution

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

9c - 8z = -7c + 7z + 2
9c = -7c + 7z + 2 + 8z
9c + 7c = 7z + 2 + 8z
16c = 15z + 2
c = \( \frac{15z + 2}{16} \)
c = \( \frac{15z}{16} \) + \( \frac{2}{16} \)
c = \(\frac{15}{16}\)z + \(\frac{1}{8}\)


4

On this circle, line segment AB is the:

70% Answer Correctly

circumference

diameter

chord

radius


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).


5

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c2 + a2

c - a

c2 - a2

a2 - c2


Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)