1. Solve the equation for $x$: $4(x-5) = 12$. The value of $x$ is ___.
2. Find the value of $z$ that solves the equation $4(z+3) = 2z + 18$. The value of $z$ is ___.
3. Solve for $x$ in the equation $10 - 3x = 4x - 2(3-x)$. If the answer is a fraction, write it as a/b. The value of $x$ is ___.
4. What is the value of $m$ in the equation $4(m-1) + m = 2(m+4)$?
5. Solve the equation $2(x+8) = 10$. The value of $x$ is ___.
6. A theater group's balance $y$ is given by $y = 20x - 1200$, where $x$ is the number of tickets sold. How many tickets must they sell to erase their debt (balance is 0 dollars)?
7. Eloise makes 20 dollars an hour as a computer programmer. Her earnings $y$ are given by $y = 20x$, where $x$ is the number of hours worked. How many hours must Eloise work to make 500 dollars?
8. A diver starts at a depth of -45 feet and descends at a rate of 15 feet per minute. How many minutes will it take to reach a depth of -159 feet? $\_\_\_$ minutes.
9. A balloon's temperature $y$ (in Celsius) is given by $y = 24 - 8x$, where $x$ is the altitude in kilometers. What is the altitude when the temperature is -56°C?
10. Solve the equation for $x$: $8+\frac{x}{-9} = -1$. $x = \_\_\_$