ASVAB Math Knowledge Practice Test 811911 Results

Your Results Global Average
Questions 5 5
Correct 0 2.95
Score 0% 59%

Review

1

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

70% Answer Correctly

right angle

equal length

equal angle

parallel


Solution

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


2

The endpoints of this line segment are at (-2, 2) and (2, 0). What is the slope of this line?

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

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, 2) and (2, 0) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)
m = -\(\frac{1}{2}\)


3

Simplify (2a)(3ab) + (5a2)(6b).

66% Answer Correctly
36a2b
55ab2
24ab2
55a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(2a)(3ab) + (5a2)(6b)
(2 x 3)(a x a x b) + (5 x 6)(a2 x b)
(6)(a1+1 x b) + (30)(a2b)
6a2b + 30a2b
36a2b


4

The dimensions of this cylinder are height (h) = 3 and radius (r) = 3. What is the surface area?

48% Answer Correctly
72π
224π
36π
210π

Solution

The surface area of a cylinder is 2πr2 + 2πrh:

sa = 2πr2 + 2πrh
sa = 2π(32) + 2π(3 x 3)
sa = 2π(9) + 2π(9)
sa = (2 x 9)π + (2 x 9)π
sa = 18π + 18π
sa = 36π


5

If a = c = 1, b = d = 9, and the blue angle = 78°, what is the area of this parallelogram?

66% Answer Correctly
48
21
9
15

Solution

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

a = l x w
a = a x b
a = 1 x 9
a = 9