| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.71 |
| Score | 0% | 74% |
Simplify 6a x 9b.
| 15ab | |
| 54a2b2 | |
| 54ab | |
| 54\( \frac{b}{a} \) |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
6a x 9b = (6 x 9) (a x b) = 54ab
If a = c = 8, b = d = 1, and the blue angle = 66°, what is the area of this parallelogram?
| 16 | |
| 21 | |
| 18 | |
| 8 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 1
a = 8
The dimensions of this cube are height (h) = 4, length (l) = 5, and width (w) = 3. What is the volume?
| 50 | |
| 32 | |
| 60 | |
| 432 |
The volume of a cube is height x length x width:
v = h x l x w
v = 4 x 5 x 3
v = 60
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
|
pairs |
|
exponents |
|
division |
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 + 7z - 3 = 4z + 1
| 6 or -1 | |
| 1 or -4 | |
| -4 or -7 | |
| 7 or -8 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
z2 + 7z - 3 = 4z + 1
z2 + 7z - 3 - 1 = 4z
z2 + 7z - 4z - 4 = 0
z2 + 3z - 4 = 0
Next, factor the quadratic equation:
z2 + 3z - 4 = 0
(z - 1)(z + 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 1) or (z + 4) must equal zero:
If (z - 1) = 0, z must equal 1
If (z + 4) = 0, z must equal -4
So the solution is that z = 1 or -4