| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.72 |
| Score | 0% | 74% |
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
|
addition |
|
division |
|
exponents |
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.)
The dimensions of this cube are height (h) = 9, length (l) = 8, and width (w) = 4. What is the volume?
| 288 | |
| 70 | |
| 8 | |
| 63 |
The volume of a cube is height x length x width:
v = h x l x w
v = 9 x 8 x 4
v = 288
The formula for the area of a circle is which of the following?
a = π r2 |
|
a = π d2 |
|
a = π r |
|
a = π d |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Solve for b:
b2 + 6b + 3 = b - 3
| 5 or 1 | |
| 9 or 8 | |
| -2 or -3 | |
| 9 or -6 |
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:
b2 + 6b + 3 = b - 3
b2 + 6b + 3 + 3 = b
b2 + 6b - b + 6 = 0
b2 + 5b + 6 = 0
Next, factor the quadratic equation:
b2 + 5b + 6 = 0
(b + 2)(b + 3) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 2) or (b + 3) must equal zero:
If (b + 2) = 0, b must equal -2
If (b + 3) = 0, b must equal -3
So the solution is that b = -2 or -3
What is 3a3 - 8a3?
| -5a6 | |
| -5a3 | |
| 24a3 | |
| a36 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
3a3 - 8a3 = -5a3