| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
Simplify 2a x 8b.
| 16ab | |
| 16\( \frac{b}{a} \) | |
| 16\( \frac{a}{b} \) | |
| 10ab |
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.
2a x 8b = (2 x 8) (a x b) = 16ab
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
|
factoring |
|
squaring |
|
normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
The dimensions of this cylinder are height (h) = 4 and radius (r) = 3. What is the volume?
| 567π | |
| 36π | |
| 28π | |
| 49π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(32 x 4)
v = 36π
Solve -3c + 5c = -6c - 8z - 5 for c in terms of z.
| \(\frac{14}{17}\)z - \(\frac{7}{17}\) | |
| -\(\frac{2}{3}\)z + \(\frac{7}{9}\) | |
| 2\(\frac{1}{4}\)z + 1\(\frac{1}{4}\) | |
| -4\(\frac{1}{3}\)z - 1\(\frac{2}{3}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
-3c + 5z = -6c - 8z - 5
-3c = -6c - 8z - 5 - 5z
-3c + 6c = -8z - 5 - 5z
3c = -13z - 5
c = \( \frac{-13z - 5}{3} \)
c = \( \frac{-13z}{3} \) + \( \frac{-5}{3} \)
c = -4\(\frac{1}{3}\)z - 1\(\frac{2}{3}\)
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h2 |
|
π r2h |
|
4π r2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.