ASVAB Math Knowledge Practice Test 578580 Results

Your Results Global Average
Questions 5 5
Correct 0 3.04
Score 0% 61%

Review

1

Solve for c:
-4c + 4 = -7 - c

58% Answer Correctly
-\(\frac{5}{9}\)
-4
3\(\frac{2}{3}\)
-\(\frac{4}{9}\)

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.

-4c + 4 = -7 - c
-4c = -7 - c - 4
-4c + c = -7 - 4
-3c = -11
c = \( \frac{-11}{-3} \)
c = 3\(\frac{2}{3}\)


2

The dimensions of this trapezoid are a = 4, b = 6, c = 7, d = 3, and h = 2. What is the area?

50% Answer Correctly
19\(\frac{1}{2}\)
9
22\(\frac{1}{2}\)
22

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(6 + 3)(2)
a = ½(9)(2)
a = ½(18) = \( \frac{18}{2} \)
a = 9


3

On this circle, line segment AB is the:

70% Answer Correctly

circumference

radius

chord

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).


4

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

83% Answer Correctly

Inside

Last

First

Odd


Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.


5

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

42% Answer Correctly

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

x-intercept

y-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.