ASVAB Math Knowledge Practice Test 24973 Results

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

Review

1

Solve for c:
-3c - 9 = \( \frac{c}{-1} \)

46% Answer Correctly
-1\(\frac{7}{8}\)
-4\(\frac{1}{2}\)
-2\(\frac{2}{13}\)
3\(\frac{1}{2}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-3c - 9 = \( \frac{c}{-1} \)
-1 x (-3c - 9) = c
(-1 x -3c) + (-1 x -9) = c
3c + 9 = c
3c + 9 - c = 0
3c - c = -9
2c = -9
c = \( \frac{-9}{2} \)
c = -4\(\frac{1}{2}\)


2

A coordinate grid is composed of which of the following?

88% Answer Correctly

x-axis

y-axis

origin

all of these


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


3

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

equilateral and right

equilateral, isosceles and right

isosceles and right

equilateral and isosceles


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


4

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

41% Answer Correctly

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

y-intercept

x-intercept

slope


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.


5

The formula for the area of a circle is which of the following?

77% Answer Correctly

a = π d

a = π r

a = π d2

a = π r2


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.