ASVAB Math Knowledge Practice Test 255125 Results

Your Results Global Average
Questions 5 5
Correct 0 2.74
Score 0% 55%

Review

1

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

46% Answer Correctly
-2
1\(\frac{1}{2}\)
-1\(\frac{1}{2}\)
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, -5) and (2, 5) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (-5.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)
m = 2\(\frac{1}{2}\)

2

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

24% Answer Correctly

c = π r2

c = π d2

c = π r

c = π d
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.

3

Simplify (y - 5)(y - 6)

63% Answer Correctly
y2 + y - 30
y2 - y - 30
y2 - 11y + 30
y2 + 11y + 30
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 - 5)(y - 6)
(y x y) + (y x -6) + (-5 x y) + (-5 x -6)
y2 - 6y - 5y + 30
y2 - 11y + 30

4

If a = c = 7, b = d = 6, what is the area of this rectangle?

80% Answer Correctly
42
15
12
45
Solution

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

a = l x w
a = a x b
a = 7 x 6
a = 42

5

If side a = 8, side b = 6, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{145} \)
\( \sqrt{10} \)
10
\( \sqrt{85} \)
Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 82 + 62
c2 = 64 + 36
c2 = 100
c = \( \sqrt{100} \)
c = 10