1. To express $x$ in terms of $y$, solve the equation $x + 4y = 15$ for $x$. The result is $x = \_\_\_$.
2. Solve the linear equation $6x + 2y = 10$ for $y$.
3. Consider the system of equations: $4x + 5y = 20$ and $x - 3y = 7$. Which variable is the easiest to isolate for substitution?
4. To eliminate fractions from the equation $\frac{1}{3}x + \frac{1}{4}y = 2$, you must multiply both sides by the LCD. What is the resulting equation? ___
5. First, clear the fractions in $\frac{1}{2}x + \frac{3}{2}y = 4$. Then, solve the resulting equation for $y$.
6. The sum of two numbers is 40. One number is 8 more than the other number. The larger of the two numbers is ___.
7. The sum of two numbers is 18. The larger number is twice the smaller number. If $x$ is the larger number and $y$ is the smaller, which system of equations represents this situation?
8. Gym A's membership costs 25 dollars initially plus 15 dollars per month. Gym B's costs 55 dollars initially plus 10 dollars per month. After how many months will the total cost be equal? ___ months
9. Two car rental companies have different pricing. Company A charges 💲60 plus 💲0.15 per mile. Company B charges 💲40 plus 💲0.25 per mile. At how many miles do the companies charge the same amount?
10. The difference between two numbers is 6. The larger number is 4 more than twice the smaller number. What is the smaller number? ___