| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.68 |
| Score | 0% | 74% |
The dimensions of this cylinder are height (h) = 2 and radius (r) = 4. What is the surface area?
| 60π | |
| 196π | |
| 28π | |
| 48π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 2)
sa = 2π(16) + 2π(8)
sa = (2 x 16)π + (2 x 8)π
sa = 32π + 16π
sa = 48π
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
|
pairs |
|
exponents |
|
addition |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
Simplify 5a x 3b.
| 15ab | |
| 15\( \frac{b}{a} \) | |
| 8ab | |
| 15\( \frac{a}{b} \) |
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 x 3b = (5 x 3) (a x b) = 15ab
Simplify (y - 1)(y + 8)
| y2 - 9y + 8 | |
| y2 + 9y + 8 | |
| y2 + 7y - 8 | |
| y2 - 7y - 8 |
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 - 1)(y + 8)
(y x y) + (y x 8) + (-1 x y) + (-1 x 8)
y2 + 8y - y - 8
y2 + 7y - 8
What is 5a5 + 5a5?
| 10a5 | |
| 0 | |
| 10a10 | |
| 25a5 |
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.
5a5 + 5a5 = 10a5