Solving equations

Good morning!
Schedule: 
  • Learning goals 
  • Solving equations
  • Equations with a repeated variable
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Slide 1: Tekstslide
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Good morning!
Schedule: 
  • Learning goals 
  • Solving equations
  • Equations with a repeated variable

Slide 1 - Tekstslide

Learning goals 
At the end of this lesson I can:
  • Solve 2-step equations

Slide 2 - Tekstslide

Why not trial and error?

Slide 3 - Tekstslide

Starter
Solve the following equations for x: 

a.  3(x - 4) = 39
b.                          

               
2x2=5

Slide 4 - Tekstslide

Starter
Solve the following equations for x: 

a. x = 17
   b. x = 12  
                         

Slide 5 - Tekstslide

What to do
Open this LessonUp on your device. 
Work on the slides with the appropriate color: 

- Got all the questions right                       I really want a challenge!
- Got 1-2 questions right                             I think a bit more practice will help me!
- Got 0-1 question correct                          I think more practice will help me! I                                                                                         would like some more help. 

Slide 6 - Tekstslide

Solving equations by backtracking
Step 1: Identify the operations in order

Step 2: Identify the inverse operations

Step 3: Apply inverse operations in REVERSE order
Example



2x2=5

Slide 7 - Tekstslide

Solving equations by backtracking
Step 1: Identify the operations in order

Step 2: Identify the inverse operations

Step 3: Apply inverse operations in REVERSE order
Example


Step 1:                                           Step 2:                               
-first 2 is subtracted from x         
-then we divide by 2                          

Step 3: 

2x2=5

Slide 8 - Tekstslide

Solving equations by backtracking
Step 1: Identify the operations in order

Step 2: Identify the inverse operations

Step 3: Apply inverse operations in REVERSE order
Example


Step 1:                                                        Step 2:                               
-first 2 is subtracted from x             -2           +2
-then we divide by 2                            /2            ⋅2

Step 3: 

2x2=5

Slide 9 - Tekstslide

Solving equations
3(x - 4) = 39 



1. Expand or simplify any brackets.

Slide 10 - Tekstslide

Solving equations
3(x - 4) = 39 
(3⋅x) + (3⋅ -4) = 39 



1. Expand or simplify any brackets.

Slide 11 - Tekstslide

Solving equations (1)
3(x - 4) = 39 
(3⋅x) + (3⋅ -4) = 39 
3x + (-12) = 39 
3x -12 = 39
 


Are all variables (x) on the same side?
2. Collect like terms

Slide 12 - Tekstslide

Solving equations
3(x - 4) = 39 
(3⋅x) + (3⋅ -4) = 39 
3x + (-12) = 39 
3x - 12 = 39 
3x -12 + 12 = 39 + 12
⋅ 3x = 51
3x/3 = 51/3
x = 17


3. Do Inverse operations on all terms on the side of x to
Isolate x

Slide 13 - Tekstslide

Solving equations
3(x - 4) = 39 
(3⋅x) + (3⋅ -4) = 39 
3x + (-12) = 39 
3x - 12 = 39 
3x -12 + 12 = 39 + 12
3x = 51
3x/3 = 51/3
x = 17


Slide 14 - Tekstslide

Solving equations by backtracking
3(x - 4) = 39 



Step 1: Identify operations
Step 2: Identify inverse operations
Step 3: Apply inverse operations in reverse order

Slide 15 - Tekstslide

Solving equations by backtracking
3(x - 4) = 39 
3(x - 4) / 3 = 39 / 3
x - 4 = 13
x - 4 + 4 = 13 + 4
x = 17


Step 1: Identify operations
Step 2: Identify inverse operations
Step 3: Apply inverse operations in reverse order

Slide 16 - Tekstslide

Let's get to work! 
p. 210-211: 10F            1adgj, 2be, 3abc, 5def
p. 211-212: 10F             3abcd, 4ac, 5adgj, 6cf
p. 211-212: 10F             5adgj, 6cf, 7adgjmps, 8def

Finished? Try the next level or pick up circuit training worksheet

Slide 17 - Tekstslide

Equations with variables on both sides

Slide 18 - Tekstslide

Worksheet
Finish the worksheet. 
Done? Pick up an answersheet from my desk and mark your work

Done? Pick up the circuit training worksheet from my desk 

Slide 19 - Tekstslide

Slide 20 - Tekstslide