Agenda

CA Standards:5.0:5. Students solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.

Objectives:(1) Students clear fractions and then solve multi-step equations

1.) Warm - Up

2.) Lesson Work Word Problems ppt.

3.) Assignment

Work Word Problems

Pencils Down Please:Mr. Love can paint a room in 3 hours. Mr. Sexton can paint the same room in 6 hours. How many hours will it take them to paint the room together?

Let’s take a closer look• If Mr. Love can paint the room in 3

hours, then how many rooms can he

paint in 1 hour?

• And if Mr. Sexton can paint the room in 6 hours, then how much can he paint in 1 hour?

1of a room3

1of a room6

• Therefore, if they work together, how much can they paint in one hour?

1of a room6

1of a room3 +

What does this mean?1of a room6

1of a room3 +

How much of the room gets painted in one hour when they work together?1

of a room2

At this rate, how long will it take them to paint the room?2hours

Example 1

Mr. Love can paint a room in 3 hours. Mr. Sexton can paint the same room in 6 hours. How many hours will it take them to paint the room together?

Think of the problem in terms of hourly units…

1

6

1

3 + =1

t

1 1 1

3 6 t 18t ●

18 1

3

t

1

6

1 1

3

6 1 3 1 18 1t t

6 3 18t t

9 18t 9 9

t 2

18 1

6

t

18 1t

t

189

t #

6

3

9t 0

You Try.Mr. Clark can mow the lawn in 20 minutes. Mr. Hunt can mow the same lawn in 5 minutes. How long will it take them to mow the lawn together?

1 1 1

20 5 t 20t ●

20 1

20

t

1

1

1 1

4

1 1 4 1 20 1t t

1 4 20t t

5 20t 5 5

t 4

20 1

5

t

20 1t

t

205

t #

1

4

5t 0

You Try.One pipe can fill a tank in 20 minutes, while another one takes 30 minutes to fill the same tank. How long would it take the two pipes to fill the tank together?

1 1 1

20 30 t 60t ●

60 1

20

t

1

3

1 1

2

3 1 2 1 60 1t t

3 2 60t t

5 60t 5 5

t 12

60 1

30

t

60 1t

t

605

t #

3

2

5t 0