ASVAB Math Knowledge Practice Test 131910 Results

Your Results Global Average
Questions 5 5
Correct 0 3.12
Score 0% 62%

Review

1

If angle a = 24° and angle b = 25° what is the length of angle c?

71% Answer Correctly
134°
75°
131°
122°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 24° - 25° = 131°


2

Simplify (y + 9)(y + 2)

63% Answer Correctly
y2 + 11y + 18
y2 - 7y - 18
y2 - 11y + 18
y2 + 7y - 18

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 + 9)(y + 2)
(y x y) + (y x 2) + (9 x y) + (9 x 2)
y2 + 2y + 9y + 18
y2 + 11y + 18


3

A coordinate grid is composed of which of the following?

88% Answer Correctly

y-axis

origin

x-axis

all of these


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


4

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

a2 - c2

c2 - a2

c - a

c2 + a2


Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)


5

The endpoints of this line segment are at (-2, -5) and (2, 1). What is the slope-intercept equation for this line?

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

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 -2. 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, 1) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (-5.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)
m = 1\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

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