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
Agenda
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? 1 of a room
3
• And if Mr. Sexton can paint the room in 6
hours, then how much can he paint in 1 hour?
1
of a room
6
• Therefore, if they work together, how much
can they paint in one hour?
1
of a room
3
+
1
of a room
6
What does this mean?
1
of a room
3
+
1
of a room
6
How much of the room gets painted in one hour
when they work together? 1 of a room
2
At this rate, how long will it take them to paint
the room? 2hours
Example 1
Think of the problem in terms of hourly
units…
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?
1
3
1
6
+ =
1
t
1 1 1
 
3 6 t
18t ●
618t  1
31
3

18t  1
18t  1

61
t1
6t 1  3t 1  18 1
t
#
6
3
9t
0
6t  3t  18
9t  18
9
9
t 
18
9

2
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 ●
1 20t  1 4 20t  1
20
1

51

20t  1
t1
1t 1  4t 1  20  1
t
#
1
4
5t
0
1t  4t  20
5t  20
5
5
t 
20
5

4
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 ●
3 60t  1
20
1
2

60t  1
60t  1

301
t1
3t 1 2t 1  60 1
t
#
3
2
5t
0
3t  2t  60
5t  60
5
5
t 
60
5

12