ASVAB Math Knowledge Practice Test 495402 Results

Your Results Global Average
Questions 5 5
Correct 0 3.22
Score 0% 64%

Review

1

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

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

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 = -\(\frac{1}{2}\)


2

Simplify (6a)(5ab) + (7a2)(5b).

65% Answer Correctly
-5ab2
5a2b
65a2b
65ab2

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) + (7a2)(5b)
(6 x 5)(a x a x b) + (7 x 5)(a2 x b)
(30)(a1+1 x b) + (35)(a2b)
30a2b + 35a2b
65a2b


3

The dimensions of this cylinder are height (h) = 2 and radius (r) = 9. What is the volume?

62% Answer Correctly
20π
32π
64π
162π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(92 x 2)
v = 162π


4

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

2lw x 2wh + 2lh

h x l x w

h2 x l2 x w2

lw x wh + lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


5

If side x = 8cm, side y = 6cm, and side z = 12cm what is the perimeter of this triangle?

84% Answer Correctly
30cm
37cm
26cm
34cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 8cm + 6cm + 12cm = 26cm