| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
If a = c = 5, b = d = 3, what is the area of this rectangle?
| 6 | |
| 10 | |
| 15 | |
| 12 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 5 x 3
a = 15
What is 4a9 - 5a9?
| 9 | |
| 20a18 | |
| -1a9 | |
| 9a18 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
4a9 - 5a9 = -1a9
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
|
squaring |
|
normalizing |
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deconstructing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Solve for c:
9c - 7 > -3 - 5c
| c > \(\frac{8}{9}\) | |
| c > \(\frac{2}{7}\) | |
| c > \(\frac{1}{2}\) | |
| c > 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.
9c - 7 > -3 - 5c
9c > -3 - 5c + 7
9c + 5c > -3 + 7
14c > 4
c > \( \frac{4}{14} \)
c > \(\frac{2}{7}\)
The endpoints of this line segment are at (-2, -3) and (2, -1). What is the slope of this line?
| -2 | |
| 2 | |
| 3 | |
| \(\frac{1}{2}\) |
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, -3) and (2, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)