ASVAB Math Knowledge Practice Test 990221 Results

Your Results Global Average
Questions 5 5
Correct 0 3.09
Score 0% 62%

Review

1

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

76% Answer Correctly

a = π r

a = π d

a = π r2

a = π d2


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.


2

Factor y2 + 2y + 1

53% Answer Correctly
(y + 1)(y - 1)
(y + 1)(y + 1)
(y - 1)(y + 1)
(y - 1)(y - 1)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 1 as well and sum (Inside, Outside) to equal 2. For this problem, those two numbers are 1 and 1. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 2y + 1
y2 + (1 + 1)y + (1 x 1)
(y + 1)(y + 1)


3

If a = c = 5, b = d = 6, and the blue angle = 70°, what is the area of this parallelogram?

65% Answer Correctly
24
2
30
63

Solution

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

a = l x w
a = a x b
a = 5 x 6
a = 30


4

The endpoints of this line segment are at (-2, -1) and (2, 1). What is the slope-intercept equation for this line?

41% Answer Correctly
y = -3x - 4
y = -3x - 1
y = \(\frac{1}{2}\)x + 0
y = -1\(\frac{1}{2}\)x + 4

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 0. 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, -1) and (2, 1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)
m = \(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = \(\frac{1}{2}\)x + 0


5

Order the following types of angle from least number of degrees to most number of degrees.

74% Answer Correctly

acute, right, obtuse

acute, obtuse, right

right, acute, obtuse

right, obtuse, acute


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.