1. Lesson 6.1 Solving Multi-Step Equations Word Problems
Essential Question: How do you solve multi-step equations?

2. How do I solve a multi-step equation?
Use distributive property and/or combine like terms.
Use inverse operations to remove the constant term.
Use inverse operations to remove the coefficient.

3. What about word problems?
Any time you are given a word problem, we want to translate the words into mathematical symbols and operations.
Once we have written an equation we can solve it.

4. Exercising You are participating in a 15 mile walk-a-thon
Exercising You are participating in a 15 mile walk-a-thon. You walk and run for the same amount of time. You walk at a rate of 4 miles per hour, and you run at a rate of 6 miles per hour. How many hours will it take you to complete the walk-a-thon?

5. Science For a science fair, you perform an experiment to see how the number of Venus flytrap seeds planted in a cup affects plant growth. In each cup, you plant either 5 seeds or 10 seeds. You want to use an equal number of cups for each seed amount. You have 75 seeds. How many cups do you need?

6. Flowers A pack of petunia seeds costs $3 and a pack of balloon flower seeds costs $4. You buy the same number of packs of each type of flower and pay $42. How many packs of each do you buy?

7. Ticket Sales Tickets to the county fair cost $8 each
Ticket Sales Tickets to the county fair cost $8 each. Seventy people bought their tickets in advance and the rest bought them at the gate. The revenue from ticket sales is $2560. How many people bought their tickets at the gate?

8. Volunteering You volunteered at a senior citizen’s center for 9 hours last month and 14 hours this month. How many hours do you need to volunteer next month so your monthly mean is 10 hours?

9. Volunteering Soup kitchen volunteers form 3 groups containing x volunteers each. Then 10 more volunteers arrive. The volunteers regroup into 4 groups containing 7 members each. How many volunteers were in the original groups?

10. Saving Plan You are saving to buy a mountain bike that costs $235
Saving Plan You are saving to buy a mountain bike that costs $235. You already have $25. Each week, you earn $15 babysitting and $25 as a cashier, but you spend $10 on lunches. In how many weeks will you have enough money saved?

11. Fundraiser Tickets to a fund-raiser are $14 if purchased ahead of time and $25 if purchased at the door. The total amount raised from both ticket sales was $625. If 11 tickets were purchased at the door, how many tickets were purchased ahead of time?

12. How do you solve multi-step equations?

13. Ticket Out the Door
Susan is collecting money during a math club calendar sale. She collected money from Jill for 12 calendars, money from Peter for 8 calendars, and money from Zack for 14 calendars. Susan collected a total of $170. How much did each calendar cost?