| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
The dimensions of this cube are height (h) = 5, length (l) = 9, and width (w) = 8. What is the volume?
| 504 | |
| 98 | |
| 180 | |
| 360 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 9 x 8
v = 360
What is 4a5 - 3a5?
| a510 | |
| 7 | |
| 1 | |
| 1a5 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
4a5 - 3a5 = 1a5
What is 5a - 6a?
| -1a | |
| 11 | |
| 30a2 | |
| -a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
5a - 6a = -1a
Solve for z:
-9z + 3 < \( \frac{z}{-3} \)
| z < -2\(\frac{2}{17}\) | |
| z < -1\(\frac{13}{29}\) | |
| z < \(\frac{9}{26}\) | |
| z < 1\(\frac{3}{4}\) |
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 < sign and the answer on the other.
-9z + 3 < \( \frac{z}{-3} \)
-3 x (-9z + 3) < z
(-3 x -9z) + (-3 x 3) < z
27z - 9 < z
27z - 9 - z < 0
27z - z < 9
26z < 9
z < \( \frac{9}{26} \)
z < \(\frac{9}{26}\)
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 |
|
2lw x 2wh + 2lh |
|
lw x wh + lh |
|
h x l x w |
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.