| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
If a = c = 9, b = d = 3, and the blue angle = 73°, what is the area of this parallelogram?
| 72 | |
| 56 | |
| 15 | |
| 27 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 9 x 3
a = 27
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
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factoring |
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normalizing |
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squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles |
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perimeter = sum of side lengths |
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area = ½bh |
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sum of interior angles = 180° |
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.
A right angle measures:
360° |
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45° |
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90° |
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180° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Solve for y:
y2 + 5y - 6 = 0
| 9 or 7 | |
| 1 or -6 | |
| -4 or -4 | |
| 9 or 1 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 + 5y - 6 = 0
(y - 1)(y + 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 1) or (y + 6) must equal zero:
If (y - 1) = 0, y must equal 1
If (y + 6) = 0, y must equal -6
So the solution is that y = 1 or -6