ASVAB Math Knowledge Practice Test 557272 Results

Your Results Global Average
Questions 5 5
Correct 0 2.81
Score 0% 56%

Review

1

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

isosceles and right

equilateral, isosceles and right

equilateral and right

equilateral and isosceles


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


2

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

57% Answer Correctly

perimeter = sum of side lengths

sum of interior angles = 180°

area = ½bh

exterior angle = sum of two adjacent interior angles


Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.


3

Simplify (y - 7)(y + 7)

63% Answer Correctly
y2 - 49
y2 - 14y + 49
y2 + 14y + 49
36

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 - 7)(y + 7)
(y x y) + (y x 7) + (-7 x y) + (-7 x 7)
y2 + 7y - 7y - 49
y2 - 49


4

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

63% Answer Correctly

all interior angles are right angles

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


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

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

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

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, -1) and (2, 5) so the slope becomes:

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