| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
|
normalizing |
|
deconstructing |
|
factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Solve for z:
-5z + 2 = -3 + 2z
| \(\frac{5}{8}\) | |
| 1 | |
| \(\frac{5}{7}\) | |
| \(\frac{3}{7}\) |
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.
-5z + 2 = -3 + 2z
-5z = -3 + 2z - 2
-5z - 2z = -3 - 2
-7z = -5
z = \( \frac{-5}{-7} \)
z = \(\frac{5}{7}\)
If side x = 8cm, side y = 13cm, and side z = 7cm what is the perimeter of this triangle?
| 28cm | |
| 22cm | |
| 33cm | |
| 21cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 8cm + 13cm + 7cm = 28cm
If c = 2 and z = -1, what is the value of 6c(c - z)?
| 36 | |
| 325 | |
| -624 | |
| -198 |
To solve this equation, 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.)
6c(c - z)
6(2)(2 + 1)
6(2)(3)
(12)(3)
36
Solve -6b + 9b = -5b - 4y - 9 for b in terms of y.
| \(\frac{2}{7}\)y - 1\(\frac{2}{7}\) | |
| -\(\frac{2}{3}\)y - 1\(\frac{1}{3}\) | |
| -1\(\frac{1}{6}\)y - \(\frac{1}{6}\) | |
| 13y + 9 |
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.
-6b + 9y = -5b - 4y - 9
-6b = -5b - 4y - 9 - 9y
-6b + 5b = -4y - 9 - 9y
-b = -13y - 9
b = \( \frac{-13y - 9}{-1} \)
b = \( \frac{-13y}{-1} \) + \( \frac{-9}{-1} \)
b = 13y + 9