| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.65 |
| Score | 0% | 73% |
Simplify 8a x 4b.
| 32\( \frac{b}{a} \) | |
| 32\( \frac{a}{b} \) | |
| 32ab | |
| 32a2b2 |
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.
8a x 4b = (8 x 4) (a x b) = 32ab
The dimensions of this cube are height (h) = 2, length (l) = 8, and width (w) = 2. What is the volume?
| 80 | |
| 32 | |
| 315 | |
| 18 |
The volume of a cube is height x length x width:
v = h x l x w
v = 2 x 8 x 2
v = 32
If the base of this triangle is 4 and the height is 5, what is the area?
| 91 | |
| 10 | |
| 18 | |
| 65 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 4 x 5 = \( \frac{20}{2} \) = 10
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.)
Solve for z:
z2 + 14z + 30 = 2z - 2
| 6 or -4 | |
| -8 or -9 | |
| -4 or -8 | |
| 2 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 + 14z + 30 = 2z - 2
z2 + 14z + 30 + 2 = 2z
z2 + 14z - 2z + 32 = 0
z2 + 12z + 32 = 0
Next, factor the quadratic equation:
z2 + 12z + 32 = 0
(z + 4)(z + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 4) or (z + 8) must equal zero:
If (z + 4) = 0, z must equal -4
If (z + 8) = 0, z must equal -8
So the solution is that z = -4 or -8