| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
The dimensions of this cube are height (h) = 2, length (l) = 4, and width (w) = 6. What is the volume?
| 9 | |
| 21 | |
| 40 | |
| 48 |
The volume of a cube is height x length x width:
v = h x l x w
v = 2 x 4 x 6
v = 48
What is 2a5 + 4a5?
| -2a10 | |
| 8a5 | |
| a510 | |
| 6a5 |
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.
2a5 + 4a5 = 6a5
Solve for a:
4a + 5 > 3 - 7a
| a > -1\(\frac{1}{3}\) | |
| a > -1\(\frac{1}{8}\) | |
| a > -1 | |
| a > -\(\frac{2}{11}\) |
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.
4a + 5 > 3 - 7a
4a > 3 - 7a - 5
4a + 7a > 3 - 5
11a > -2
a > \( \frac{-2}{11} \)
a > -\(\frac{2}{11}\)
The endpoints of this line segment are at (-2, -4) and (2, -2). What is the slope of this line?
| 2\(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) | |
| 2 | |
| \(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -4) and (2, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
|
equal length |
|
equal angle |
|
parallel |
A trapezoid is a quadrilateral with one set of parallel sides.