| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.84 |
| Score | 0% | 57% |
The endpoints of this line segment are at (-2, 6) and (2, 0). What is the slope of this line?
| 2 | |
| 3 | |
| -1\(\frac{1}{2}\) | |
| 1 |
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, 6) and (2, 0) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)What is 8a3 + 4a3?
| 32a3 | |
| 12a3 | |
| 32a6 | |
| 12 |
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.
8a3 + 4a3 = 12a3
The dimensions of this cube are height (h) = 3, length (l) = 8, and width (w) = 3. What is the surface area?
| 94 | |
| 322 | |
| 232 | |
| 114 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 8 x 3) + (2 x 3 x 3) + (2 x 8 x 3)
sa = (48) + (18) + (48)
sa = 114
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
|
normalizing |
|
deconstructing |
|
squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Solve 9c - 6c = 5c - 8z - 2 for c in terms of z.
| -1\(\frac{3}{13}\)z - \(\frac{6}{13}\) | |
| -\(\frac{1}{2}\)z - \(\frac{1}{2}\) | |
| z + 2 | |
| \(\frac{1}{6}\)z + \(\frac{2}{3}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
9c - 6z = 5c - 8z - 2
9c = 5c - 8z - 2 + 6z
9c - 5c = -8z - 2 + 6z
4c = -2z - 2
c = \( \frac{-2z - 2}{4} \)
c = \( \frac{-2z}{4} \) + \( \frac{-2}{4} \)
c = -\(\frac{1}{2}\)z - \(\frac{1}{2}\)