ASVAB Math Knowledge Practice Test 195454 Results

Your Results Global Average
Questions 5 5
Correct 0 3.41
Score 0% 68%

Review

1

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

92% Answer Correctly

division

pairs

addition

exponents


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)


2

Simplify (y + 4)(y + 8)

64% Answer Correctly
y2 + 4y - 32
y2 - 12y + 32
y2 - 4y - 32
y2 + 12y + 32

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 + 4)(y + 8)
(y x y) + (y x 8) + (4 x y) + (4 x 8)
y2 + 8y + 4y + 32
y2 + 12y + 32


3

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

78% Answer Correctly

a = π d

a = π r

a = π r2

a = π d2


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.


4

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

42% Answer Correctly

y-intercept

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

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

If a = c = 4, b = d = 9, and the blue angle = 64°, what is the area of this parallelogram?

66% Answer Correctly
27
10
54
36

Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 4 x 9
a = 36