| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
The dimensions of this cube are height (h) = 9, length (l) = 6, and width (w) = 7. What is the volume?
| 378 | |
| 270 | |
| 120 | |
| 294 |
The volume of a cube is height x length x width:
v = h x l x w
v = 9 x 6 x 7
v = 378
What is 7a5 - 7a5?
| a510 | |
| 14a10 | |
| 0a5 | |
| 0 |
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.
7a5 - 7a5 = 0a5
What is 2a + 7a?
| 9 | |
| 9a2 | |
| 14a | |
| 9a |
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.
2a + 7a = 9a
Solve 2a + 9a = -6a - 4z - 6 for a in terms of z.
| -z + \(\frac{9}{11}\) | |
| \(\frac{7}{8}\)z + \(\frac{5}{8}\) | |
| -1\(\frac{5}{8}\)z - \(\frac{3}{4}\) | |
| -4\(\frac{1}{3}\)z - 2 |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
2a + 9z = -6a - 4z - 6
2a = -6a - 4z - 6 - 9z
2a + 6a = -4z - 6 - 9z
8a = -13z - 6
a = \( \frac{-13z - 6}{8} \)
a = \( \frac{-13z}{8} \) + \( \frac{-6}{8} \)
a = -1\(\frac{5}{8}\)z - \(\frac{3}{4}\)
If the base of this triangle is 6 and the height is 7, what is the area?
| 17\(\frac{1}{2}\) | |
| 27\(\frac{1}{2}\) | |
| 21 | |
| 84 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 6 x 7 = \( \frac{42}{2} \) = 21