| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
The dimensions of this cylinder are height (h) = 1 and radius (r) = 2. What is the volume?
| 392π | |
| 245π | |
| 4π | |
| 128π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(22 x 1)
v = 4π
What is 4a + 8a?
| 12 | |
| -4 | |
| 32a2 | |
| 12a |
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.
4a + 8a = 12a
The endpoints of this line segment are at (-2, -1) and (2, -7). What is the slope-intercept equation for this line?
| y = -3x - 3 | |
| y = -2\(\frac{1}{2}\)x + 3 | |
| y = -\(\frac{1}{2}\)x - 1 | |
| y = -1\(\frac{1}{2}\)x - 4 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -4. 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, -1) and (2, -7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)Plugging these values into the slope-intercept equation:
y = -1\(\frac{1}{2}\)x - 4
Which of the following expressions contains exactly two terms?
monomial |
|
polynomial |
|
binomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
What is 5a - 6a?
| 11 | |
| -1a | |
| 30a | |
| -a2 |
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.
5a - 6a = -1a