| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
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factoring |
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squaring |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
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a2 - c2 |
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c - a |
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c2 - a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
Solve for a:
7a - 2 = -3 - 3a
| 1\(\frac{1}{3}\) | |
| \(\frac{1}{8}\) | |
| -\(\frac{1}{10}\) | |
| \(\frac{1}{2}\) |
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.
7a - 2 = -3 - 3a
7a = -3 - 3a + 2
7a + 3a = -3 + 2
10a = -1
a = \( \frac{-1}{10} \)
a = -\(\frac{1}{10}\)
If a = c = 4, b = d = 5, and the blue angle = 72°, what is the area of this parallelogram?
| 18 | |
| 6 | |
| 12 | |
| 20 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 4 x 5
a = 20
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
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equal length |
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equal angle |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.