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Steps
Solve with variables on same side
Solve with parables on both side
Inverse operation/Vocabulary
Labeling solution
100

Label Step 1 to the Problem

2(4w – 1) = -10(w – 3) + 4

 1.    8w-2   = -10w+30+4     



Distribute

100

4x=8

2

100

4x+1=2x–5

-3

100

What does Inverse mean?

Opposite 

100

This answer has ________solution(s)

X=2

1

200

Label Step 2 to the Problem

2(4w – 1) = -10(w – 3) + 4

   2.    8w-2   = -10w+34         

 

Combine like terms

200

-7x–4=25

-3

200

3(6p – 1) = 11p – 45  

21

200

What is the Variable in this equation?   12x-3=4

x

200

This answer has ________solution(s)

2=4

no 

300

Label Step 3 to the Problem

2(4w – 1) = -10(w – 3) + 4

 3.   -8w           -8w

          -2     = -18w+34          


Move variables to one side (using addition or subtraction)

300

4(7a + 5) = -160

6.4

300

3(5x+2)=2(3x–6)

-2

300

What is the Constants in this equation? 12x-3=4

 3 and 4

300

This answer has ________solution(s)

5=5

Infinite

400

Label Step 4 to the Problem

2(4w – 1) = -10(w – 3) + 4       

 4.     -34    =          -34

        -36     = -18w

      -18      =    -18         

           2     = w

Solve using inverse operations

400

3k+2(5k–3)=7

1

400

2(4w – 1) = -10(w – 3) + 4

-12

400

What is the Coefficient in this equation? 12x-3=4

12

400

15 – 3w = 4w – 2w Solve and label

3=w 

1 solution

500

How many solutions does this Equation have?

Label Steps to the Problem

2(4w – 1) = -10(w – 3) + 4

 1.    8w-2   = -10w+30+4     

 2.    8w-2   = -10w+34         

 3.   -8w           -8w

          -2     = -18w+34          

 4.     -34    =          -34

        -36     = -18w

      -18      =    -18         

           2     = w

1 solution

500

4(x+8)+2x = 8x+52 +4

-12

500

8(y + 4) – 2(y – 1) = 70 – 3y

4.1

500

What are the inverse operations for addition and division

subtraction and multiplication

500

4(2r – 1) = -2(3r + 16) Solve and label


2.5 

1 solution