MJ2A

1
MJ2A

• Ch 7.1 Solving Equations with Variables on Both
  Sides

2
Bellwork

• Write an equation and solve
• Four more than twice a number is eight.
• Five less than the quotient of a number and three
  is -7
• Nine less than six times a number is -15

3
Assignment Review

• Text p. 327 1 - 22

4
Before we begin

• Please take out your notebook and get ready to
  work
• Okat this point you should be pretty comfortable
  with solving one and two step equations.in these
  type of equations the variables have only been on
  one side of the equation
• In todays lesson we will look at equations with
  variables on both sides

5
Objective

• Students will solve equations with variables on
  both sides

6
Solving Equations

• To solve equations with variables on both sides
  the goal is to get all of the variable to one
  side
• How you do that is by using the balanced equation
  method and adding or subtracting the variables
• The strategy is to collect the variables to the
  side with the largest variable
• Lets see what that looks like

7
Example

• 6n 1 4n 5
• Lets analyze
• In this case I have variables on the left and
  right side of the equation
• Of the variables 6n is the largest
  variabletherefore, I will collect the variables
  to the left side of the equation
• To do that I will subtract 4n from both sides
• Once I have done that I wind up with a simple
  2-step equationwhich you know how to solve

8
Example

• 6n 1 4n 5

-4n -4n
Subtract 4n from both sides
2n 1 5
This is a 2 step equation
1 1
Add/Subtract first
2n 4
Multiply/Divide Second
2 2
n 2
Solution
9
Your Turn

• In the notes section of your notebook write and
  solve the following
• 10x 3x 28
• 7y 8 6y 1
• 5n 9 2n

10
Comments

• When working with these types of problems it is
  important to be organized
• You ability to be organized will minimize errors!
• Re-write the entire equation each time you
  perform an operation
• Line up the equal signs and perform the
  operations under the previous operations

11
Summary

• In the notes section of your notebook summarize
  the key concepts covered in todays lesson
• Today we discussed
• Equations with variables on both sides
• How do you get the variables to one side?
• What strategy is used to decide which side to
  collect the variables on?

12
Assignment

• Text p. 332 10 27
• Reminder
• This assignment is due tomorrow
• I do not accept late assignments
• You must show your work or no credit