Essential Question: How do you
solve multi-step equations?
1
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.
2
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.
3
Exercising You are participating in a 15 mile walk-athon. 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?
4
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?
5
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?
6
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?
7
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?
8
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?
9
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?
10
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?
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How do you solve multi-step equations?
12
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?
13