| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
Solve for x:
5x - 6 = \( \frac{x}{-7} \)
| 1\(\frac{1}{6}\) | |
| 4\(\frac{4}{5}\) | |
| \(\frac{10}{11}\) | |
| -3\(\frac{6}{7}\) |
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 equal sign and the answer on the other.
5x - 6 = \( \frac{x}{-7} \)
-7 x (5x - 6) = x
(-7 x 5x) + (-7 x -6) = x
-35x + 42 = x
-35x + 42 - x = 0
-35x - x = -42
-36x = -42
x = \( \frac{-42}{-36} \)
x = 1\(\frac{1}{6}\)
A coordinate grid is composed of which of the following?
y-axis |
|
all of these |
|
x-axis |
|
origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Solve 7c - 9c = 6c - 7z + 6 for c in terms of z.
| \(\frac{5}{11}\)z - \(\frac{8}{11}\) | |
| -3z - 8 | |
| 2\(\frac{3}{5}\)z - \(\frac{4}{5}\) | |
| 2z + 6 |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
7c - 9z = 6c - 7z + 6
7c = 6c - 7z + 6 + 9z
7c - 6c = -7z + 6 + 9z
c = 2z + 6
Find the value of c:
4c + z = 3
5c + z = -2
| -5 | |
| 9 | |
| -1\(\frac{3}{4}\) | |
| 1\(\frac{1}{5}\) |
You need to find the value of c so solve the first equation in terms of z:
4c + z = 3
z = 3 - 4c
then substitute the result (3 - 4c) into the second equation:
5c + 1(3 - 4c) = -2
5c + (1 x 3) + (1 x -4c) = -2
5c + 3 - 4c = -2
5c - 4c = -2 - 3
c = -5
c = \( \frac{-5}{1} \)
c = -5
What is 4a4 + 4a4?
| 8a4 | |
| 8a8 | |
| 8 | |
| a48 |
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.
4a4 + 4a4 = 8a4