| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
The dimensions of this cylinder are height (h) = 9 and radius (r) = 9. What is the surface area?
| 90π | |
| 72π | |
| 324π | |
| 32π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 9)
sa = 2π(81) + 2π(81)
sa = (2 x 81)π + (2 x 81)π
sa = 162π + 162π
sa = 324π
What is the circumference of a circle with a radius of 11?
| 16π | |
| 34π | |
| 22π | |
| 7π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 11)
c = 22π
Simplify (4a)(7ab) - (9a2)(2b).
| -10ab2 | |
| 46a2b | |
| 10a2b | |
| 121a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(4a)(7ab) - (9a2)(2b)
(4 x 7)(a x a x b) - (9 x 2)(a2 x b)
(28)(a1+1 x b) - (18)(a2b)
28a2b - 18a2b
10a2b
Simplify (5a)(9ab) + (2a2)(5b).
| 55a2b | |
| 35ab2 | |
| -35ab2 | |
| 55ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(5a)(9ab) + (2a2)(5b)
(5 x 9)(a x a x b) + (2 x 5)(a2 x b)
(45)(a1+1 x b) + (10)(a2b)
45a2b + 10a2b
55a2b
Solve for b:
8b + 6 < -3 - 5b
| b < -\(\frac{9}{13}\) | |
| b < -3 | |
| b < 4 | |
| b < -\(\frac{3}{4}\) |
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.
8b + 6 < -3 - 5b
8b < -3 - 5b - 6
8b + 5b < -3 - 6
13b < -9
b < \( \frac{-9}{13} \)
b < -\(\frac{9}{13}\)