| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
A coordinate grid is composed of which of the following?
origin |
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y-axis |
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x-axis |
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all of these |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles |
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area = ½bh |
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sum of interior angles = 180° |
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perimeter = sum of side lengths |
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 2a x 2b.
| 4\( \frac{b}{a} \) | |
| 4a2b2 | |
| 4ab | |
| 4\( \frac{a}{b} \) |
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.
2a x 2b = (2 x 2) (a x b) = 4ab
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
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deconstructing |
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factoring |
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squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
The dimensions of this trapezoid are a = 4, b = 3, c = 5, d = 9, and h = 3. What is the area?
| 22 | |
| 19\(\frac{1}{2}\) | |
| 18 | |
| 22\(\frac{1}{2}\) |
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(3 + 9)(3)
a = ½(12)(3)
a = ½(36) = \( \frac{36}{2} \)
a = 18