ASVAB Math Knowledge Practice Test 117556 Results

Your Results Global Average
Questions 5 5
Correct 0 2.93
Score 0% 59%

Review

1

The endpoints of this line segment are at (-2, 6) and (2, -4). What is the slope of this line?

46% Answer Correctly
1\(\frac{1}{2}\)
-2\(\frac{1}{2}\)
3
-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, 6) and (2, -4) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)
m = -2\(\frac{1}{2}\)


2

Factor y2 - 4

53% Answer Correctly
(y - 2)(y - 2)
(y + 2)(y - 2)
(y + 2)(y + 2)
(y - 2)(y + 2)

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 -4 as well and sum (Inside, Outside) to equal 0. For this problem, those two numbers are -2 and 2. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 4
y2 + (-2 + 2)y + (-2 x 2)
(y - 2)(y + 2)


3

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

63% Answer Correctly

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

the lengths of all sides are equal

the area is length x width

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).


4

If side x = 15cm, side y = 10cm, and side z = 11cm what is the perimeter of this triangle?

84% Answer Correctly
36cm
23cm
42cm
35cm

Solution

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

p = x + y + z
p = 15cm + 10cm + 11cm = 36cm


5

Which of the following statements about a parallelogram is not true?

49% Answer Correctly

opposite sides and adjacent angles are equal

the area of a parallelogram is base x height

the perimeter of a parallelogram is the sum of the lengths of all sides

a parallelogram is a quadrilateral


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).