| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.69 |
| Score | 0% | 74% |
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
|
exponents |
|
pairs |
|
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.)
Solve for z:
z2 - 16 = 0
| -1 or -3 | |
| 4 or -6 | |
| 4 or -4 | |
| 2 or -6 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 16 = 0
(z - 4)(z + 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 4) or (z + 4) must equal zero:
If (z - 4) = 0, z must equal 4
If (z + 4) = 0, z must equal -4
So the solution is that z = 4 or -4
Solve for b:
-7b + 6 < -5 - 2b
| b < 1\(\frac{1}{8}\) | |
| b < -2\(\frac{1}{3}\) | |
| b < -4 | |
| b < 2\(\frac{1}{5}\) |
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.
-7b + 6 < -5 - 2b
-7b < -5 - 2b - 6
-7b + 2b < -5 - 6
-5b < -11
b < \( \frac{-11}{-5} \)
b < 2\(\frac{1}{5}\)
The dimensions of this cube are height (h) = 5, length (l) = 3, and width (w) = 4. What is the volume?
| 216 | |
| 224 | |
| 60 | |
| 108 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 3 x 4
v = 60
If side x = 9cm, side y = 14cm, and side z = 6cm what is the perimeter of this triangle?
| 30cm | |
| 29cm | |
| 37cm | |
| 21cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 9cm + 14cm + 6cm = 29cm