1. 2-4 Solving equations with variables on both sides
Goals:
Collect variables on one side of an equation
Use equations to solve real-life problems
Eligible Content:
A / A / A

2. Collect variables on one side of =
Decide which variable you want to move.
Add or subtract it from both sides to cancel it out.
Solve equation just like we did yesterday!

3. 7x + 19 = -2x x +2x 9x + 19 = x = x = 4

4. examples 6x + 22 = -3x + 31 90 – 9y = 6y 72 – 12w = 6w
x = 1 y = 6 w = 4 x = -2 x = 5

5. Solve 9f – 6 = 3f + 7. A. B. C.
D. 2

6. Vocabulary
No Solution – there is no value that works for the equation. This is the answer if you get all variables to cancel out and you are left with a false statement. 2 = 8
All Real Numbers– any value works for the equation. This is the answer if you get all variables to cancel out and you are left with a true statement. 3 = 3

7. Tricky problems 3x + 6 = 3x + 4 5x + 8 = 5x + 8
No solution All real numbers

8. practice
Worksheet – “2-4 Solving Equations with Variables on Both Sides”

9. Word problem #1
A video store charges $8 to rent a video game for five days. You must be a member to rent from the store, but the membership is free. A video game club in town charges only $3 to rent a game for five days, but membership in the club is $50 per year. How many games would you have to rent for the price to be the same? 8x = 3x + 50 x = 10 games

10. Word problem #2
A gym offers two packages for yearly membership. The first plan costs $50 to be a member. Then each visit to the gym is $5. The second plan costs $200 for a membership fee plus $2 per visit. How many times do you have to visit the gym for the cost to be the same?
50 + 5x = x
x = 50 visits

11. homework
Pages #1-2, 10-13, 38-40
Get your Notebook Grade Sheet signed by a parent or guardian before Monday!!!!!