In this worksheet, we will practice solving equations in which the variable is on each side of the equation.

**Q5: **

Given that , find .

**Q6: **

If is isosceles, where , , , and , find the length of each side.

- A , ,
- B , ,
- C , ,
- D , ,
- E , ,

**Q9: **

Find the value of :

**Q10: **

Find the value of :

**Q11: **

Find the value of :

- A
- B
- C
- D
- E

**Q12: **

Find the value of :

**Q13: **

Find the solution set of the equation .

- A
- B
- C
- D

**Q15: **

Given that , use the information in the figure to find the perimeter of triangle .

**Q16: **

Nader and Bassem are going on holiday together. Nader has $400 and Bassem has $350. Given that, on average, Nader spends $28 and Bassem spends $26 per day, after how many days will they have the same amount of money left?

- A13 days
- B50 days
- C30 days
- D25 days
- E15 days

**Q17: **

80 students decided to buy a present for their teacher. They split into two groups of 40 and each student in the first group gave . In the second group, three-fifths of the students gave dollars each, and the rest contributed a total of $288. Given that the two groups contributed the same amount, find the value of .

- A36
- B16
- C20
- D12
- E26

**Q18: **

Nabil believes the equation can have more than one solution for special values of and . Is he right? If so, what are the values?

- Ayes, ,
- Byes, ,
- Cno
- Dyes, ,

**Q19: **

Find the solution set of using the substitution set .

- A
- B
- C
- D
- E

**Q20: **

Find the value of given the following information:

- is on the line between and .
- .
- .
- .

**Q21: **

Point is the midpoint of segment . Given that the length of is , and that of is , what is the length of ?