| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
Which of the following statements about a triangle is not true?
perimeter = sum of side lengths |
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area = ½bh |
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sum of interior angles = 180° |
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exterior angle = sum of two adjacent interior angles |
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.
Simplify (y - 6)(y + 2)
| y2 + 8y + 12 | |
| y2 + 4y - 12 | |
| y2 - 8y + 12 | |
| y2 - 4y - 12 |
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 - 6)(y + 2)
(y x y) + (y x 2) + (-6 x y) + (-6 x 2)
y2 + 2y - 6y - 12
y2 - 4y - 12
The endpoints of this line segment are at (-2, 7) and (2, 1). What is the slope of this line?
| 2\(\frac{1}{2}\) | |
| -2 | |
| -1\(\frac{1}{2}\) | |
| -3 |
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, 7) and (2, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)Which types of triangles will always have at least two sides of equal length?
equilateral and right |
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equilateral, isosceles and right |
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isosceles and right |
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equilateral and isosceles |
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.
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
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division |
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pairs |
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exponents |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)