| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.71 |
| Score | 0% | 74% |
The dimensions of this cube are height (h) = 3, length (l) = 8, and width (w) = 1. What is the volume?
| 24 | |
| 16 | |
| 294 | |
| 162 |
The volume of a cube is height x length x width:
v = h x l x w
v = 3 x 8 x 1
v = 24
A quadrilateral is a shape with __________ sides.
3 |
|
5 |
|
2 |
|
4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
What is the circumference of a circle with a radius of 6?
| 9π | |
| 16π | |
| 12π | |
| 24π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 6)
c = 12π
A(n) __________ is two expressions separated by an equal sign.
problem |
|
formula |
|
equation |
|
expression |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
Solve for x:
x2 + x - 80 = x + 1
| -4 or -6 | |
| 9 or -9 | |
| 8 or 6 | |
| 3 or 1 |
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:
x2 + x - 80 = x + 1
x2 + x - 80 - 1 = x
x2 + x - x - 81 = 0
x2 - 81 = 0
Next, factor the quadratic equation:
x2 - 81 = 0
(x - 9)(x + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 9) or (x + 9) must equal zero:
If (x - 9) = 0, x must equal 9
If (x + 9) = 0, x must equal -9
So the solution is that x = 9 or -9