| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
What is 3a - 5a?
| a2 | |
| -2a | |
| 8 | |
| 8a2 |
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 - 5a = -2a
What is 6a9 - 7a9?
| -a18 | |
| 42a9 | |
| 42a18 | |
| -1a9 |
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.
6a9 - 7a9 = -1a9
The endpoints of this line segment are at (-2, -6) and (2, 6). What is the slope-intercept equation for this line?
| y = \(\frac{1}{2}\)x + 4 | |
| y = -\(\frac{1}{2}\)x + 1 | |
| y = 3x + 0 | |
| y = \(\frac{1}{2}\)x - 2 |
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 0. 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, 6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (-6.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)Plugging these values into the slope-intercept equation:
y = 3x + 0
Simplify (y - 2)(y + 2)
| y2 + 4y + 4 | |
| y2 - 4 | |
| y2 - 4y + 4 | |
| 71 |
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 - 2)(y + 2)
(y x y) + (y x 2) + (-2 x y) + (-2 x 2)
y2 + 2y - 2y - 4
y2 - 4
The dimensions of this cylinder are height (h) = 1 and radius (r) = 1. What is the surface area?
| 120π | |
| 104π | |
| 80π | |
| 4π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 1)
sa = 2π(1) + 2π(1)
sa = (2 x 1)π + (2 x 1)π
sa = 2π + 2π
sa = 4π