| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
What is the circumference of a circle with a radius of 5?
| 10π | |
| 24π | |
| 19π | |
| 6π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 5)
c = 10π
Solve for x:
x2 + 10x - 15 = 3x + 3
| 6 or -1 | |
| 8 or -9 | |
| 9 or -6 | |
| 2 or -9 |
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 + 10x - 15 = 3x + 3
x2 + 10x - 15 - 3 = 3x
x2 + 10x - 3x - 18 = 0
x2 + 7x - 18 = 0
Next, factor the quadratic equation:
x2 + 7x - 18 = 0
(x - 2)(x + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 2) or (x + 9) must equal zero:
If (x - 2) = 0, x must equal 2
If (x + 9) = 0, x must equal -9
So the solution is that x = 2 or -9
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
|
2lw x 2wh + 2lh |
|
lw x wh + lh |
|
h2 x l2 x w2 |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
A quadrilateral is a shape with __________ sides.
4 |
|
3 |
|
5 |
|
2 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Solve 6b + 7b = 2b - 8x + 2 for b in terms of x.
| x + \(\frac{1}{2}\) | |
| -\(\frac{2}{7}\)x + \(\frac{1}{7}\) | |
| 5x + 1 | |
| -3\(\frac{3}{4}\)x + \(\frac{1}{2}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
6b + 7x = 2b - 8x + 2
6b = 2b - 8x + 2 - 7x
6b - 2b = -8x + 2 - 7x
4b = -15x + 2
b = \( \frac{-15x + 2}{4} \)
b = \( \frac{-15x}{4} \) + \( \frac{2}{4} \)
b = -3\(\frac{3}{4}\)x + \(\frac{1}{2}\)