| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
The dimensions of this cylinder are height (h) = 4 and radius (r) = 3. What is the surface area?
| 42π | |
| 20π | |
| 156π | |
| 224π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(32) + 2π(3 x 4)
sa = 2π(9) + 2π(12)
sa = (2 x 9)π + (2 x 12)π
sa = 18π + 24π
sa = 42π
Solve 4a - 2a = 7a + 9y + 3 for a in terms of y.
| y + \(\frac{1}{4}\) | |
| -3\(\frac{2}{3}\)y - 1 | |
| \(\frac{1}{11}\)y - \(\frac{8}{11}\) | |
| 12y + 5 |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
4a - 2y = 7a + 9y + 3
4a = 7a + 9y + 3 + 2y
4a - 7a = 9y + 3 + 2y
-3a = 11y + 3
a = \( \frac{11y + 3}{-3} \)
a = \( \frac{11y}{-3} \) + \( \frac{3}{-3} \)
a = -3\(\frac{2}{3}\)y - 1
What is 4a + 8a?
| 32a2 | |
| -4 | |
| 12a | |
| 32a |
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.
4a + 8a = 12a
Which of the following expressions contains exactly two terms?
monomial |
|
binomial |
|
polynomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
What is the circumference of a circle with a radius of 11?
| 5π | |
| 24π | |
| 34π | |
| 22π |
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