| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
h x l x w |
|
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 2a x 9b.
| 18\( \frac{a}{b} \) | |
| 11ab | |
| 18ab | |
| 18\( \frac{b}{a} \) |
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.
2a x 9b = (2 x 9) (a x b) = 18ab
Solve for y:
-2y - 8 = \( \frac{y}{-3} \)
| \(\frac{35}{62}\) | |
| -4\(\frac{4}{5}\) | |
| 4\(\frac{4}{7}\) | |
| \(\frac{12}{31}\) |
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.
-2y - 8 = \( \frac{y}{-3} \)
-3 x (-2y - 8) = y
(-3 x -2y) + (-3 x -8) = y
6y + 24 = y
6y + 24 - y = 0
6y - y = -24
5y = -24
y = \( \frac{-24}{5} \)
y = -4\(\frac{4}{5}\)
What is the circumference of a circle with a diameter of 4?
| 4π | |
| 32π | |
| 2π | |
| 5π |
The formula for circumference is circle diameter x π:
c = πd
c = 4π
Find the value of c:
-4c + y = 3
-8c + 8y = 1
| -1\(\frac{9}{10}\) | |
| -1 | |
| -5\(\frac{3}{4}\) | |
| -\(\frac{23}{24}\) |
You need to find the value of c so solve the first equation in terms of y:
-4c + y = 3
y = 3 + 4c
then substitute the result (3 - -4c) into the second equation:
-8c + 8(3 + 4c) = 1
-8c + (8 x 3) + (8 x 4c) = 1
-8c + 24 + 32c = 1
-8c + 32c = 1 - 24
24c = -23
c = \( \frac{-23}{24} \)
c = -\(\frac{23}{24}\)