| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
The dimensions of this trapezoid are a = 5, b = 9, c = 7, d = 8, and h = 4. What is the area?
| 34 | |
| 24 | |
| 20 | |
| 28 |
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(9 + 8)(4)
a = ½(17)(4)
a = ½(68) = \( \frac{68}{2} \)
a = 34
Simplify 3a x 5b.
| 15\( \frac{a}{b} \) | |
| 15ab | |
| 8ab | |
| 15\( \frac{b}{a} \) |
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.
3a x 5b = (3 x 5) (a x b) = 15ab
A right angle measures:
45° |
|
90° |
|
180° |
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360° |
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.
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
|
normalizing |
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deconstructing |
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squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
The endpoints of this line segment are at (-2, -4) and (2, 8). What is the slope of this line?
| 3 | |
| -1 | |
| 1 | |
| 2\(\frac{1}{2}\) |
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, -4) and (2, 8) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(8.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)