| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
If side x = 9cm, side y = 13cm, and side z = 8cm what is the perimeter of this triangle?
| 30cm | |
| 39cm | |
| 24cm | |
| 22cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 9cm + 13cm + 8cm = 30cm
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.)
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
|
deconstructing |
|
factoring |
|
normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Solve for b:
-9b + 5 = -2 + 2b
| -4 | |
| -\(\frac{1}{6}\) | |
| 1 | |
| \(\frac{7}{11}\) |
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.
-9b + 5 = -2 + 2b
-9b = -2 + 2b - 5
-9b - 2b = -2 - 5
-11b = -7
b = \( \frac{-7}{-11} \)
b = \(\frac{7}{11}\)
Solve for b:
-4b - 7 < \( \frac{b}{-4} \)
| b < -1\(\frac{1}{48}\) | |
| b < \(\frac{25}{36}\) | |
| b < -1\(\frac{13}{15}\) | |
| b < 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.
-4b - 7 < \( \frac{b}{-4} \)
-4 x (-4b - 7) < b
(-4 x -4b) + (-4 x -7) < b
16b + 28 < b
16b + 28 - b < 0
16b - b < -28
15b < -28
b < \( \frac{-28}{15} \)
b < -1\(\frac{13}{15}\)