| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
Solve 8b - 6b = -9b - 6z + 8 for b in terms of z.
| z + \(\frac{8}{17}\) | |
| -\(\frac{2}{11}\)z + \(\frac{8}{11}\) | |
| \(\frac{1}{2}\)z + 1\(\frac{1}{6}\) | |
| 7\(\frac{1}{2}\)z - 2\(\frac{1}{2}\) |
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.
8b - 6z = -9b - 6z + 8
8b = -9b - 6z + 8 + 6z
8b + 9b = -6z + 8 + 6z
17b = + 8
b = \( \frac{ + 8}{17} \)
b = \( \frac{}{17} \) + \( \frac{8}{17} \)
b = z + \(\frac{8}{17}\)
Solve for x:
2x - 7 = \( \frac{x}{-6} \)
| 1\(\frac{1}{3}\) | |
| -\(\frac{3}{10}\) | |
| 3\(\frac{3}{13}\) | |
| -1\(\frac{1}{7}\) |
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 equal sign and the answer on the other.
2x - 7 = \( \frac{x}{-6} \)
-6 x (2x - 7) = x
(-6 x 2x) + (-6 x -7) = x
-12x + 42 = x
-12x + 42 - x = 0
-12x - x = -42
-13x = -42
x = \( \frac{-42}{-13} \)
x = 3\(\frac{3}{13}\)
The dimensions of this cylinder are height (h) = 3 and radius (r) = 5. What is the volume?
| 567π | |
| 576π | |
| 75π | |
| 98π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 3)
v = 75π
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
|
equal length |
|
parallel |
|
equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
If a = 9, b = 6, c = 4, and d = 6, what is the perimeter of this quadrilateral?
| 32 | |
| 25 | |
| 17 | |
| 27 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 9 + 6 + 4 + 6
p = 25