ASVAB Math Knowledge Practice Test 515796 Results

Your Results Global Average
Questions 5 5
Correct 0 2.51
Score 0% 50%

Review

1

Simplify (y + 9)(y + 5)

62% Answer Correctly
y2 - 4y - 45
y2 + 14y + 45
y2 - 14y + 45
y2 + 4y - 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 + 9)(y + 5)
(y x y) + (y x 5) + (9 x y) + (9 x 5)
y2 + 5y + 9y + 45
y2 + 14y + 45


2

On this circle, line segment CD is the:

46% 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).


3

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

50% Answer Correctly
9
16\(\frac{1}{2}\)
40
5

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(7 + 2)(2)
a = ½(9)(2)
a = ½(18) = \( \frac{18}{2} \)
a = 9


4

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

42% Answer Correctly

slope

x-intercept

y-intercept

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


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

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

51% Answer Correctly

quadrilateral

triangle

trapezoid

rhombus


Solution

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