1. Chapter 3 – Solving Linear Equations 3.6 – Solving Decimal Equations

2. Today we will learn how to: Today we will learn how to: Find exact and approximate solutions of equations that contain decimals Find exact and approximate solutions of equations that contain decimals Solve real-life problems that use decimals Solve real-life problems that use decimals

3. 3.6 – Solving Decimal Equations To play paintball, a group of people pay a fixed amount to play for a specific amount of time. Suppose it costs $24.99 to play paintball for 30 minutes. How much would it cost each person if 5 people were going to play? 6 people? If 2 to 10 people can play at one time, what is the price range per person? To play paintball, a group of people pay a fixed amount to play for a specific amount of time. Suppose it costs $24.99 to play paintball for 30 minutes. How much would it cost each person if 5 people were going to play? 6 people? If 2 to 10 people can play at one time, what is the price range per person?

4. 3.6 – Solving Decimal Equations So far, we have worked with equations that have exact answers. So far, we have worked with equations that have exact answers. Exact answers don’t always occur in real- life, so you must round. Exact answers don’t always occur in real- life, so you must round.

5. 3.6 – Solving Decimal Equations Example 1 Example 1 If four people are sharing the cost of a monthly phone bill of $58.25, how much would each person pay? If four people are sharing the cost of a monthly phone bill of $58.25, how much would each person pay?

6. 3.6 – Solving Decimal Equations Example 2 Example 2 Solve 26x – 32 = 99. Round to the nearest hundredth. Solve 26x – 32 = 99. Round to the nearest hundredth.

7. 3.6 – Solving Decimal Equations Example 3 Example 3 Solve 9.92x – 6.13 = 5.96 – 7.28x. Round to the nearest hundredth. Solve 9.92x – 6.13 = 5.96 – 7.28x. Round to the nearest hundredth.

8. 3.6 – Solving Decimal Equations Example 4 Example 4 Solve 3.7x – 2.5 = 6.1x – 12.2. Round to the nearest tenth. Solve 3.7x – 2.5 = 6.1x – 12.2. Round to the nearest tenth.

9. 3.6 – Solving Decimal Equations Example 5 Example 5 You are shopping for a necklace to match your earrings. The sales tax is 6%. You have a total of $21.25 to spend. What is the price limit for the necklace? You are shopping for a necklace to match your earrings. The sales tax is 6%. You have a total of $21.25 to spend. What is the price limit for the necklace?

10. 3.6 – Solving Decimal Equations HOMEWORK Page 169 #20 – 42 even