| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
Simplify (y + 8)(y - 9)
| y2 - 17y + 72 | |
| y2 + 17y + 72 | |
| y2 + y - 72 | |
| y2 - y - 72 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 8)(y - 9)
(y x y) + (y x -9) + (8 x y) + (8 x -9)
y2 - 9y + 8y - 72
y2 - y - 72
Solve for z:
-8z - 1 > -5 + 4z
| z > 1\(\frac{1}{6}\) | |
| z > \(\frac{1}{7}\) | |
| z > -2\(\frac{2}{3}\) | |
| z > \(\frac{1}{3}\) |
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.
-8z - 1 > -5 + 4z
-8z > -5 + 4z + 1
-8z - 4z > -5 + 1
-12z > -4
z > \( \frac{-4}{-12} \)
z > \(\frac{1}{3}\)
The dimensions of this cylinder are height (h) = 4 and radius (r) = 4. What is the surface area?
| 64π | |
| 224π | |
| 256π | |
| 112π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 4)
sa = 2π(16) + 2π(16)
sa = (2 x 16)π + (2 x 16)π
sa = 32π + 32π
sa = 64π
Which of the following expressions contains exactly two terms?
monomial |
|
quadratic |
|
binomial |
|
polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Solve for c:
-3c + 1 = -1 - 8c
| -\(\frac{5}{7}\) | |
| 1\(\frac{1}{3}\) | |
| -\(\frac{2}{5}\) | |
| -1 |
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.
-3c + 1 = -1 - 8c
-3c = -1 - 8c - 1
-3c + 8c = -1 - 1
5c = -2
c = \( \frac{-2}{5} \)
c = -\(\frac{2}{5}\)