ASVAB Math Knowledge Practice Test 794954 Results

Your Results Global Average
Questions 5 5
Correct 0 3.55
Score 0% 71%

Review

1

The endpoints of this line segment are at (-2, -4) and (2, 4). What is the slope of this line?

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

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, -4) and (2, 4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)
m = 2


2

A coordinate grid is composed of which of the following?

91% Answer Correctly

origin

x-axis

all of these

y-axis


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.


3

If a = c = 2, b = d = 8, what is the area of this rectangle?

80% Answer Correctly
12
49
24
16

Solution

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

a = l x w
a = a x b
a = 2 x 8
a = 16


4

Which of the following is not true about both rectangles and squares?

63% Answer Correctly

the area is length x width

the lengths of all sides are equal

the perimeter is the sum of the lengths of all four sides

all interior angles are right angles


Solution

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).


5

Breaking apart a quadratic expression into a pair of binomials is called:

75% Answer Correctly

squaring

normalizing

deconstructing

factoring


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.