| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
Solve b - 3b = -4b + 6x + 1 for b in terms of x.
| -2\(\frac{1}{6}\)x - 1 | |
| -1\(\frac{1}{2}\)x - 2 | |
| -10x + 7 | |
| 1\(\frac{4}{5}\)x + \(\frac{1}{5}\) |
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 - 3x = -4b + 6x + 1
b = -4b + 6x + 1 + 3x
b + 4b = 6x + 1 + 3x
5b = 9x + 1
b = \( \frac{9x + 1}{5} \)
b = \( \frac{9x}{5} \) + \( \frac{1}{5} \)
b = 1\(\frac{4}{5}\)x + \(\frac{1}{5}\)
What is 6a2 - 7a2?
| -a4 | |
| 13a4 | |
| -1a2 | |
| 42a4 |
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.
6a2 - 7a2 = -1a2
What is 5a - 4a?
| 20a | |
| 1a | |
| a2 | |
| 20a2 |
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 - 4a = 1a
Find the value of a:
-7a + z = 7
2a - 5z = -8
| -8 | |
| -\(\frac{9}{11}\) | |
| -\(\frac{3}{16}\) | |
| -\(\frac{1}{4}\) |
You need to find the value of a so solve the first equation in terms of z:
-7a + z = 7
z = 7 + 7a
then substitute the result (7 - -7a) into the second equation:
2a - 5(7 + 7a) = -8
2a + (-5 x 7) + (-5 x 7a) = -8
2a - 35 - 35a = -8
2a - 35a = -8 + 35
-33a = 27
a = \( \frac{27}{-33} \)
a = -\(\frac{9}{11}\)
The dimensions of this cube are height (h) = 6, length (l) = 7, and width (w) = 3. What is the volume?
| 54 | |
| 648 | |
| 126 | |
| 180 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 7 x 3
v = 126