| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
|
deconstructing |
|
factoring |
|
squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Solve for y:
-3y + 8 = -5 + 7y
| 1 | |
| 6 | |
| -2 | |
| 1\(\frac{3}{10}\) |
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.
-3y + 8 = -5 + 7y
-3y = -5 + 7y - 8
-3y - 7y = -5 - 8
-10y = -13
y = \( \frac{-13}{-10} \)
y = 1\(\frac{3}{10}\)
What is 5a8 - 4a8?
| 9a16 | |
| 1 | |
| a16 | |
| 1a8 |
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.
5a8 - 4a8 = 1a8
The dimensions of this cube are height (h) = 5, length (l) = 1, and width (w) = 8. What is the volume?
| 40 | |
| 3 | |
| 30 | |
| 48 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 1 x 8
v = 40
Solve for z:
-3z - 9 < -4 - 8z
| z < 3 | |
| z < -\(\frac{3}{8}\) | |
| z < \(\frac{3}{5}\) | |
| z < 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 < sign and the answer on the other.
-3z - 9 < -4 - 8z
-3z < -4 - 8z + 9
-3z + 8z < -4 + 9
5z < 5
z < \( \frac{5}{5} \)
z < 1