| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
|
squaring |
|
deconstructing |
|
factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Solve -4b + b = 4b + 2y - 3 for b in terms of y.
| -\(\frac{1}{8}\)y + \(\frac{3}{8}\) | |
| 2\(\frac{2}{5}\)y - 1\(\frac{2}{5}\) | |
| 17y - 2 | |
| \(\frac{9}{13}\)y + \(\frac{2}{13}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
-4b + y = 4b + 2y - 3
-4b = 4b + 2y - 3 - y
-4b - 4b = 2y - 3 - y
-8b = y - 3
b = \( \frac{y - 3}{-8} \)
b = \( \frac{y}{-8} \) + \( \frac{-3}{-8} \)
b = -\(\frac{1}{8}\)y + \(\frac{3}{8}\)
What is 6a + 9a?
| 15 | |
| 15a2 | |
| a2 | |
| 15a |
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.
6a + 9a = 15a
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
|
division |
|
addition |
|
pairs |
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.)
The dimensions of this cylinder are height (h) = 4 and radius (r) = 1. What is the volume?
| 4π | |
| 24π | |
| 6π | |
| 36π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(12 x 4)
v = 4π