| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
Solve b - 2b = -4b + 9y - 7 for b in terms of y.
| y + \(\frac{1}{3}\) | |
| \(\frac{3}{13}\)y + \(\frac{8}{13}\) | |
| -\(\frac{6}{11}\)y - \(\frac{1}{11}\) | |
| 2\(\frac{1}{5}\)y - 1\(\frac{2}{5}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
b - 2y = -4b + 9y - 7
b = -4b + 9y - 7 + 2y
b + 4b = 9y - 7 + 2y
5b = 11y - 7
b = \( \frac{11y - 7}{5} \)
b = \( \frac{11y}{5} \) + \( \frac{-7}{5} \)
b = 2\(\frac{1}{5}\)y - 1\(\frac{2}{5}\)
What is 7a - 9a?
| -2a | |
| 16 | |
| -2a2 | |
| 16a2 |
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.
7a - 9a = -2a
Find the value of b:
b + z = -6
3b + 7z = 6
| -\(\frac{16}{29}\) | |
| -12 | |
| -\(\frac{25}{57}\) | |
| \(\frac{8}{21}\) |
You need to find the value of b so solve the first equation in terms of z:
b + z = -6
z = -6 - b
then substitute the result (-6 - 1b) into the second equation:
3b + 7(-6 - b) = 6
3b + (7 x -6) + (7 x -b) = 6
3b - 42 - 7b = 6
3b - 7b = 6 + 42
-4b = 48
b = \( \frac{48}{-4} \)
b = -12
If a = c = 1, b = d = 2, and the blue angle = 70°, what is the area of this parallelogram?
| 56 | |
| 36 | |
| 64 | |
| 2 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 2
a = 2
What is 5a4 - 7a4?
| 12a8 | |
| -2a4 | |
| 12 | |
| 35a8 |
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.
5a4 - 7a4 = -2a4