| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
What is 4a5 + 8a5?
| 12a5 | |
| 32a5 | |
| 12a10 | |
| -4 |
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.
4a5 + 8a5 = 12a5
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
|
exponents |
|
division |
|
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.)
Factor y2 - 17y + 72
| (y + 9)(y - 8) | |
| (y + 9)(y + 8) | |
| (y - 9)(y - 8) | |
| (y - 9)(y + 8) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 72 as well and sum (Inside, Outside) to equal -17. For this problem, those two numbers are -9 and -8. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 17y + 72
y2 + (-9 - 8)y + (-9 x -8)
(y - 9)(y - 8)
If a = c = 3, b = d = 8, and the blue angle = 80°, what is the area of this parallelogram?
| 2 | |
| 6 | |
| 8 | |
| 24 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 3 x 8
a = 24
The dimensions of this cylinder are height (h) = 5 and radius (r) = 8. What is the surface area?
| 60π | |
| 182π | |
| 66π | |
| 208π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 5)
sa = 2π(64) + 2π(40)
sa = (2 x 64)π + (2 x 40)π
sa = 128π + 80π
sa = 208π