| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
If a = c = 6, b = d = 5, what is the area of this rectangle?
| 30 | |
| 45 | |
| 6 | |
| 16 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 6 x 5
a = 30
The endpoints of this line segment are at (-2, 7) and (2, 1). What is the slope of this line?
| 1\(\frac{1}{2}\) | |
| -1 | |
| 2 | |
| -1\(\frac{1}{2}\) |
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, 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 of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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opposite sides and adjacent angles are equal |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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the area of a parallelogram is base x height |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
Solve for a:
-4a - 1 = -5 - 5a
| -4 | |
| -\(\frac{1}{6}\) | |
| 1 | |
| -6 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-4a - 1 = -5 - 5a
-4a = -5 - 5a + 1
-4a + 5a = -5 + 1
a = -4
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
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normalizing |
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factoring |
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deconstructing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.