1. SECTION 5.2 SOLVING EQUATIONS WITH VARIABLES ON EACH SIDE

2. OBJECTIVES Solve equations with variables on each side Solve equations that involve grouping symbols

3. NOTES Equations with Variables on Each Side To solve equations with variables on each side, use the ____________ or ____________ Property of Equality to write an ____________ equation with the variables on one side Then ___________ the equation

4. EXAMPLES 1. 7x = 5x + 4 2. 3x – 2 = x + 4

5. EXAMPLES 3. 2x + 3 = 3x – 2 4. 5 + 15 = p – 49

6. WORD PROBLEM PRACTICE 1. A personal trainer charges a one time fee of $60 plus $2 for each individual session. A new fitness club charges a yearly fee of $450 plus $10 for each session with a personal trainer. Write and solve an equation to determine for what number of sessions will the costs be equal.

7. WORD PROBLEM PRACTICE 2. Red Bird Cruises charges $85 per day plus a one- time fee of $75 for taxes and gratuities. King Cruises charges $100 per day plus a fee of $30. Write and solve an equation to determine for what number of days the charge for the cruises will be the same.

8. H.O.T. PROBLEMS 1. Three times the sum of three consecutive integers x, x + 1, and x + 2, is 72. What are the integers?

9. H.O.T. PROBLEMS 2. Write an equation hat has variables on each side and has a solution of -2.

10. H.O.T. PROBLEMS 3. Write a real-world problem that could be solved by using the equation 54 + 3.5x = 8x. Then solve the equation and interpret your solution.