| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
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 |
|
lw x wh + lh |
|
2lw x 2wh + 2lh |
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.
Simplify 9a x 7b.
| 63\( \frac{a}{b} \) | |
| 63ab | |
| 63\( \frac{b}{a} \) | |
| 63a2b2 |
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.
9a x 7b = (9 x 7) (a x b) = 63ab
What is the area of a circle with a diameter of 4?
| 4π | |
| 3π | |
| 16π | |
| 2π |
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
On this circle, a line segment connecting point A to point D is called:
circumference |
|
radius |
|
diameter |
|
chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Solve for z:
z2 - 8z + 12 = 0
| 8 or 6 | |
| 2 or 6 | |
| 6 or -8 | |
| 7 or 2 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 8z + 12 = 0
(z - 2)(z - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 2) or (z - 6) must equal zero:
If (z - 2) = 0, z must equal 2
If (z - 6) = 0, z must equal 6
So the solution is that z = 2 or 6