ASVAB Math Knowledge Practice Test 560976 Results

Your Results Global Average
Questions 5 5
Correct 0 2.91
Score 0% 58%

Review

1

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

42% Answer Correctly

y-intercept

x-intercept

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

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.


2

A right angle measures:

90% Answer Correctly

180°

360°

90°

45°


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.


3

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

circumference

radius

diameter

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).


4

The dimensions of this trapezoid are a = 4, b = 9, c = 6, d = 4, and h = 3. What is the area?

51% Answer Correctly
19\(\frac{1}{2}\)
16
9
15

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(9 + 4)(3)
a = ½(13)(3)
a = ½(39) = \( \frac{39}{2} \)
a = 19\(\frac{1}{2}\)


5

Simplify (y - 5)(y - 9)

63% Answer Correctly
y2 - 14y + 45
y2 + 4y - 45
y2 - 4y - 45
y2 + 14y + 45

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:

(y - 5)(y - 9)
(y x y) + (y x -9) + (-5 x y) + (-5 x -9)
y2 - 9y - 5y + 45
y2 - 14y + 45