1. Solving Equations With Variables on Both Sides
3.4 Day 1
Solving Equations With Variables on Both Sides

2. Today’s Learning Targets
I will:
Solve equations with variables on both sides
Solve equations with grouping symbols
Solve multi-step equations in an algebraic proof

3. To solve equations with variables on both sides
1. Clear parenthesis
2. Combine terms on each side / simplify
3. Move variables to one side
4. Undo addition/subtraction
5. Undo multiplication/division
6. Check

4. Solve: 13 + 5x = 2x - 8 13 + 5x = 2x - 8 Given Addition POE
Division POE
Check

5. Your turn…solve with reasons
6a – 5(a – 1) = 11 Given

6. Solve a – 1.4 = 0.4 – 1.2 a

7. How many solutions?
-3(x – 4) = 9 – 3x
3(4x + 2) = 2(6x + 3)

8. Tomorrow we will talk about an identity…

9. Now, let’s apply this knowledge…
A charter bus company charges $11.25 per ticket plus a handling charge per ticket of $0.50 per ticket, and a $15 fee for booking the bus. If a group pays $297 to charter a bus, how many tickets did they buy?

10. The Cheetah and the Gazelle
A cheetah running 90 ft per second is 100 ft behind a gazelle running 70 ft per second. How long will it take the cheetah to catch up to the gazelle?

11. NOW, for the challenge…
A cheetah can run faster than a gazelle, but a cheetah can only run at top speed for about 20 seconds.
If a gazelle is too far away for the cheetah to catch it within 20 seconds, the gazelle is probably safe.
Would the gazelle be safe if the cheetah starts running 500 feet behind it?

12. 3.4 Assignment Page 157 #3-17 odd, 44-46 all, 49, 50, 52
Write reasons for #8 and #11