| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
What is the area of a circle with a diameter of 4?
| 4π | |
| 64π | |
| 9π | |
| 36π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{4}{2} \)
r = 2
a = πr2
a = π(22)
a = 4π
Solve for b:
4b - 2 = -6 - 3b
| -\(\frac{4}{7}\) | |
| \(\frac{1}{3}\) | |
| 1\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) |
To solve this equation, 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.
4b - 2 = -6 - 3b
4b = -6 - 3b + 2
4b + 3b = -6 + 2
7b = -4
b = \( \frac{-4}{7} \)
b = -\(\frac{4}{7}\)
A coordinate grid is composed of which of the following?
all of these |
|
origin |
|
x-axis |
|
y-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
The dimensions of this cylinder are height (h) = 8 and radius (r) = 5. What is the surface area?
| 100π | |
| 180π | |
| 120π | |
| 130π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 8)
sa = 2π(25) + 2π(40)
sa = (2 x 25)π + (2 x 40)π
sa = 50π + 80π
sa = 130π
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 |
|
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
|
lw x wh + lh |
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.