Linear Equations

Introduction

Today we will be learning about Solving Linear Equations that have the same variable on both sides. 

REVIEW of CONCEPTS

Remember, Linear Equations have different parts:  (Click on videos for a review on concepts) 

  • variables
  • constants

A variable is a letter that is used in place of number that we do not know

  • like x, y, A, b, N....

A constant is a number that we do know

  • 1, 2, 3/4, ...

https://www.youtube.com/watch?v=NybHckSEQBI&t=32s

Remember Linear Equations are like a balance scale.  

Addition and Subtraction:

https://www.youtube.com/watch?v=l3XzepN03KQ

Multiplication and Division: 

https://www.youtube.com/watch?v=Qyd_v3DGzTM

 

Order of Operations and 2 step problems

https://www.youtube.com/watch?v=LDIiYKYvvdA

 

Task

Using previously learned concepts of :

  • order of operations
  • solving for a variable 

You will be learning how to :

  • combine like terms

  • solve linear equations with a variable located on both sides of the equation

                                

By:  

  • teacher guided instruction
  • videos
  • practice

Process

What are LIKE TERMS?

Which of the following is a like term for the 2x?

5x + 11 = 2x + 20

Which of the following is a like terms for the 6?

2x + 6 = 4x - 2

 

COMBINING LIKE TERMS:

https://www.youtube.com/watch?v=P6_sK8hRWCA

 

Practice (Click on word "practice" for link to Khan Academy) 

 

Teacher Example:  These examples were solved in class along with students

5x + 11 = 2x + 20

2x + 6 = 4x - 2

4x - 6 = 22 - 3x

 

Still Need Help?: 

Videos:

https://www.youtube.com/watch?v=fDMxOiS5g7k

https://www.youtube.com/watch?v=oLQmsajh-eQ

Practice:  (Click on word "Practice" for link to Khan Academy) 

Evaluation

Please complete these 6 examples on a separate sheet of paper showing all your work for each problem

(Students can submit work electronically through iPad app for evaluation) 

 

1)   14 + 3n = 5n + 10

2)    7x - 3 = 5x + 5 

3)    30 - 6x = 21 - 3x

4)    80 + 2n = 12n -20

5)    4a + 6 =  8a - 22

6)    3 + 4m = 15- 2m