2. WARM UP BIKE SAFETY: You live near a mountain bike trail. You can rent a mountain bike a safety helmet for $10 an hour. If you have your own helmet, the bike rental is $7 an hour. You can buy a helmet for $28. How many hours do you need to use the trail to justify buying your own helmet? 4

3. WARM UP BIKE SAFETY: You live near a mountain bike trail. You can rent a mountain bike a safety helmet for $10 an hour. If you have your own helmet, the bike rental is $7 an hour. You can buy a helmet for $28. How many hours do you need to use the trail to justify buying your own helmet? 3

4. WARM UP BIKE SAFETY: You live near a mountain bike trail. You can rent a mountain bike a safety helmet for $10 an hour. If you have your own helmet, the bike rental is $7 an hour. You can buy a helmet for $28. How many hours do you need to use the trail to justify buying your own helmet? 2

5. WARM UP BIKE SAFETY: You live near a mountain bike trail. You can rent a mountain bike a safety helmet for $10 an hour. If you have your own helmet, the bike rental is $7 an hour. You can buy a helmet for $28. How many hours do you need to use the trail to justify buying your own helmet? 1

6. WARM UP BIKE SAFETY: You live near a mountain bike trail. You can rent a mountain bike a safety helmet for $10 an hour. If you have your own helmet, the bike rental is $7 an hour. You can buy a helmet for $28. How many hours do you need to use the trail to justify buying your own helmet? 0

7. 3.5 More on Linear Equations Today’s Schedule: Start Unit 3/Powerpoint Start Unit 3/Powerpoint In class assignment/homework In class assignment/homework Exit Slip Exit Slip KEY WORDS: Inverse operations, distributive property GOAL: Solve more complicated equations that have variables on both sides.

8. 3.5 More on Linear Equations EXAMPLE 1: Solve a More Complicated Equation 4(1 – x) + 3x = 2(x + 1) 4(1 – x) + 3x = 2(x + 1) SOLUTION 1.Write the original equation 2.Use distributive property 3.Combine Like terms 4.Add 2x to each side 5.Combine like Terms 6.Subtract 4 from each side 7.Simplify

9. 3.5 More on Linear Equations EXAMPLE 2: Solve a More Complicated Equation -3(4x + 1) + 6x = 4(2x – 6) -3(4x + 1) + 6x = 4(2x – 6) SOLUTION 1.Write the original equation 2.Use distributive property 3.Combine Like terms 4.Add 6x to each side 5.Add 24 to each side 6.Divide each side by 14 7.Simplify

10. 3.5 More on Linear Equations EXAMPLE 3: Solve a More Complicated Equation ¼(12x + 16) = 10 – 3(x – 2) SOLUTION 1.Write the original equation 2.Use distributive property 3.Simplify 4.Add 3x to each side 5.Subtract 4 from each side 6.Divide each side by 6