| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
The dimensions of this trapezoid are a = 4, b = 4, c = 6, d = 5, and h = 2. What is the area?
| 30 | |
| 20 | |
| 25\(\frac{1}{2}\) | |
| 9 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(4 + 5)(2)
a = ½(9)(2)
a = ½(18) = \( \frac{18}{2} \)
a = 9
Which of the following statements about a triangle is not true?
perimeter = sum of side lengths |
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exterior angle = sum of two adjacent interior angles |
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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.
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
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normalizing |
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deconstructing |
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factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Simplify 8a x 6b.
| 48\( \frac{b}{a} \) | |
| 48a2b2 | |
| 14ab | |
| 48ab |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
8a x 6b = (8 x 6) (a x b) = 48ab
If side x = 7cm, side y = 13cm, and side z = 8cm what is the perimeter of this triangle?
| 24cm | |
| 34cm | |
| 35cm | |
| 28cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 7cm + 13cm + 8cm = 28cm