ASVAB Math Knowledge Practice Test 186765 Results

Your Results Global Average
Questions 5 5
Correct 0 3.15
Score 0% 63%

Review

1

If a = 2, b = 6, c = 3, and d = 2, what is the perimeter of this quadrilateral?

88% Answer Correctly
15
18
13
26

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 2 + 6 + 3 + 2
p = 13


2

The endpoints of this line segment are at (-2, -5) and (2, 3). What is the slope of this line?

46% Answer Correctly
2\(\frac{1}{2}\)
-2
1
2

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -5) and (2, 3) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-5.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)
m = 2


3

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

equal angle

parallel

right angle

equal length


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


4

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

42% Answer Correctly

y-intercept

slope

x-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

Which of the following statements about math operations is incorrect?

71% Answer Correctly

all of these statements are correct

you can add monomials that have the same variable and the same exponent

you can multiply monomials that have different variables and different exponents

you can subtract monomials that have the same variable and the same exponent


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.