| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.59 |
| Score | 0% | 52% |
The dimensions of this cylinder are height (h) = 6 and radius (r) = 2. What is the surface area?
| 192π | |
| 32π | |
| 6π | |
| 154π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 6)
sa = 2π(4) + 2π(12)
sa = (2 x 4)π + (2 x 12)π
sa = 8π + 24π
sa = 32π
Solve for a:
5a - 6 < \( \frac{a}{-6} \)
| a < 1\(\frac{5}{31}\) | |
| a < -3\(\frac{3}{4}\) | |
| a < \(\frac{9}{55}\) | |
| a < -1\(\frac{15}{17}\) |
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.
5a - 6 < \( \frac{a}{-6} \)
-6 x (5a - 6) < a
(-6 x 5a) + (-6 x -6) < a
-30a + 36 < a
-30a + 36 - a < 0
-30a - a < -36
-31a < -36
a < \( \frac{-36}{-31} \)
a < 1\(\frac{5}{31}\)
The endpoints of this line segment are at (-2, 4) and (2, -6). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) | |
| 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, 4) and (2, -6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Solve b - 5b = -2b - 2x - 3 for b in terms of x.
| -4\(\frac{1}{3}\)x - 2 | |
| -2\(\frac{1}{5}\)x - 1\(\frac{2}{5}\) | |
| x - \(\frac{1}{2}\) | |
| x - 1 |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
b - 5x = -2b - 2x - 3
b = -2b - 2x - 3 + 5x
b + 2b = -2x - 3 + 5x
3b = 3x - 3
b = \( \frac{3x - 3}{3} \)
b = \( \frac{3x}{3} \) + \( \frac{-3}{3} \)
b = x - 1
Which of the following expressions contains exactly two terms?
polynomial |
|
binomial |
|
quadratic |
|
monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.