| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
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factoring |
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deconstructing |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
A coordinate grid is composed of which of the following?
y-axis |
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origin |
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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.
Solve for c:
-5c - 5 = 3 - 9c
| 1\(\frac{3}{4}\) | |
| \(\frac{1}{2}\) | |
| 2 | |
| -4 |
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.
-5c - 5 = 3 - 9c
-5c = 3 - 9c + 5
-5c + 9c = 3 + 5
4c = 8
c = \( \frac{8}{4} \)
c = 2
Solve for a:
a + 9 < -3 + 9a
| a < -\(\frac{3}{7}\) | |
| a < 3 | |
| a < 4 | |
| a < 1\(\frac{1}{2}\) |
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 < sign and the answer on the other.
a + 9 < -3 + 9a
a < -3 + 9a - 9
a - 9a < -3 - 9
-8a < -12
a < \( \frac{-12}{-8} \)
a < 1\(\frac{1}{2}\)
The endpoints of this line segment are at (-2, -4) and (2, -2). What is the slope of this line?
| -2 | |
| -3 | |
| \(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) |
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, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)