| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
The dimensions of this cylinder are height (h) = 7 and radius (r) = 8. What is the surface area?
| 160π | |
| 48π | |
| 240π | |
| 56π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 7)
sa = 2π(64) + 2π(56)
sa = (2 x 64)π + (2 x 56)π
sa = 128π + 112π
sa = 240π
What is 8a - 2a?
| 6a | |
| 6 | |
| 10a2 | |
| 16a |
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.
8a - 2a = 6a
A coordinate grid is composed of which of the following?
all of these |
|
y-axis |
|
x-axis |
|
origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Find the value of b:
-6b + y = 8
3b + 3y = 4
| -\(\frac{20}{21}\) | |
| -\(\frac{5}{38}\) | |
| \(\frac{41}{45}\) | |
| \(\frac{9}{19}\) |
You need to find the value of b so solve the first equation in terms of y:
-6b + y = 8
y = 8 + 6b
then substitute the result (8 - -6b) into the second equation:
3b + 3(8 + 6b) = 4
3b + (3 x 8) + (3 x 6b) = 4
3b + 24 + 18b = 4
3b + 18b = 4 - 24
21b = -20
b = \( \frac{-20}{21} \)
b = -\(\frac{20}{21}\)
Solve for a:
-6a - 1 > \( \frac{a}{-9} \)
| a > -\(\frac{9}{53}\) | |
| a > 6 | |
| a > \(\frac{10}{11}\) | |
| a > -\(\frac{18}{19}\) |
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.
-6a - 1 > \( \frac{a}{-9} \)
-9 x (-6a - 1) > a
(-9 x -6a) + (-9 x -1) > a
54a + 9 > a
54a + 9 - a > 0
54a - a > -9
53a > -9
a > \( \frac{-9}{53} \)
a > -\(\frac{9}{53}\)