7th Grade Math

Multi-Part

Lesson (^2) Multiplication and Division Equations
PART A B C D
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Multi-Part
Lesson 2
Get ConnectED
GLE 0706.3.7
Use mathematical models
involving linear equations
to analyze real-world
phenomena. GLE 0706.3.8
Use a variety of strategies to
efficiently solve linear
equations and inequalities.
Also addresses GLE 0706.1.8,
SPI 0706.3.6, SPI 0706.3.7.
220 Equations and Inequalities
Main Idea
Write and solve
equations with rational
coefficients using bar
diagrams.
Solve Equations with
Rational Coefficients
TALENT SHOW Two thirds of Chen’s homeroom class plan to
participate in the school talent show. If 16 students from the class
plan to participate, how many students are in the homeroom class?
What do you need to find? how many students are in Chen’s
homeroom class
You can represent this situation with an equation.
Draw a bar diagram
that represents the
total number of
students in the
class and how many
plan to participate.
Write an equation from the bar diagram. Let c represent
the total number of students in the class.
^23 c = 16
Find the number of
students represented by
the sections of the bar.
Since each section represents 8 students, there are 8 × 3 or
24 students in the class. Check ^2
3
× 24 = 16 
and Apply

1. Suppose _^3
   4
   of the class planned to participate. How would the
   diagram and equation be different?


2. BAR DIAGRAM Eliana is spending _^3
   5
   of her monthly allowance
   on a costume for the talent show. She plans to spend $24. Draw a
   bar diagram to represent the situation. Then write and solve an
   equation to find the amount of Eliana’s monthly allowance.

number of students in class

16

888

number of students in class, c

16

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