| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
Solve for x:
-6x - 5 = \( \frac{x}{-2} \)
| -\(\frac{2}{3}\) | |
| -\(\frac{10}{11}\) | |
| \(\frac{4}{21}\) | |
| -\(\frac{9}{13}\) |
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.
-6x - 5 = \( \frac{x}{-2} \)
-2 x (-6x - 5) = x
(-2 x -6x) + (-2 x -5) = x
12x + 10 = x
12x + 10 - x = 0
12x - x = -10
11x = -10
x = \( \frac{-10}{11} \)
x = -\(\frac{10}{11}\)
What is the circumference of a circle with a radius of 13?
| 26π | |
| 12π | |
| 14π | |
| 15π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 13)
c = 26π
The dimensions of this cylinder are height (h) = 7 and radius (r) = 7. What is the surface area?
| 196π | |
| 64π | |
| 140π | |
| 20π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 7)
sa = 2π(49) + 2π(49)
sa = (2 x 49)π + (2 x 49)π
sa = 98π + 98π
sa = 196π
The dimensions of this cylinder are height (h) = 8 and radius (r) = 8. What is the volume?
| 150π | |
| 63π | |
| 294π | |
| 512π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(82 x 8)
v = 512π
If AD = 14 and BD = 9, AB = ?
| 10 | |
| 17 | |
| 5 | |
| 1 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD