ASVAB Math Knowledge Practice Test 705914 Results

Your Results Global Average
Questions 5 5
Correct 0 3.11
Score 0% 62%

Review

1

The endpoints of this line segment are at (-2, 2) and (2, -8). What is the slope of this line?

46% Answer Correctly
3
-2\(\frac{1}{2}\)
1
\(\frac{1}{2}\)

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, -8) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-8.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)
m = -2\(\frac{1}{2}\)


2

Simplify (6a)(5ab) + (4a2)(4b).

65% Answer Correctly
46a2b
14a2b
-14a2b
46ab2

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.

(6a)(5ab) + (4a2)(4b)
(6 x 5)(a x a x b) + (4 x 4)(a2 x b)
(30)(a1+1 x b) + (16)(a2b)
30a2b + 16a2b
46a2b


3

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

70% Answer Correctly

equal angle

equal length

parallel

right angle


Solution

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


4

The dimensions of this cube are height (h) = 7, length (l) = 5, and width (w) = 4. What is the surface area?

51% Answer Correctly
126
348
136
166

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 5 x 4) + (2 x 4 x 7) + (2 x 5 x 7)
sa = (40) + (56) + (70)
sa = 166


5

If a = c = 6, b = d = 3, what is the area of this rectangle?

80% Answer Correctly
32
42
18
8

Solution

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

a = l x w
a = a x b
a = 6 x 3
a = 18