| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
The dimensions of this cylinder are height (h) = 3 and radius (r) = 7. What is the volume?
| 384π | |
| 16π | |
| 147π | |
| 256π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(72 x 3)
v = 147π
Simplify (y + 8)(y + 9)
| y2 - y - 72 | |
| y2 + 17y + 72 | |
| y2 - 17y + 72 | |
| y2 + y - 72 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 8)(y + 9)
(y x y) + (y x 9) + (8 x y) + (8 x 9)
y2 + 9y + 8y + 72
y2 + 17y + 72
The endpoints of this line segment are at (-2, -1) and (2, -7). What is the slope of this line?
| \(\frac{1}{2}\) | |
| 3 | |
| -1\(\frac{1}{2}\) | |
| -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, -1) and (2, -7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-7.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)If a = c = 4, b = d = 5, what is the area of this rectangle?
| 14 | |
| 15 | |
| 9 | |
| 20 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 4 x 5
a = 20
What is 3a + 2a?
| a2 | |
| 5 | |
| 5a | |
| 6a |
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.
3a + 2a = 5a