E1 Single Step Guided Practice

Since -3 was added to x to get -2, we need to add the

opposite of -3 to both sides to inverse it to isolate 

for x.

x        =  1
x - 3 = -2

    +3   +3

Since x was divided by 2 to equal 6, we need to

multiply both sides by 2.

2•

1

x        =  12

       =  6

2

x
•2

Since 5 was added to x to get -7, we need to add the

opposite of 5 to both sides to inverse it.    5 + -5

equals 0 so x is by itself.

x        = -12
x + 5 = -7

    -5     -5

Add the opposite of 8 to both sides to isolate the

variable x.  Follow all integer rules.

x + 8 = 2

   - 8   -8

x        =

Since 4 was multiplied by x to equal 12, we need to

divide both sides by 4.

4x   =   12

x        =  3
4
4

Add the opposite of -2 to both sides to isolate the

variable x.  Follow all integer rules.

x - 2 = -5

   + 2   +2

x        =

Since 4 was multiplied by x to equal 12, we need to

divide both sides by 4.

x        =  3

4x   =   12

4
4

Clean up first. Add the opposite of 2 to both sides to

isolate the variable x.  Follow all integer rules.

x - (-2) = -5

x + 2    = -5

    -2         -2

x        =

This is multiplication.  Division is inverse.  Divide

both sides by 3 to isolate the variable x.

3x   =  6

3x               =        6
3
x =
3

This is division.  Multiplication is inverse.  Multiply both

sides by 5 to isolate the variable.

          = 10

5•
1
x =
x

5

•5
Addition and subtract are inverse.

x - 9 = -5

   

x        =

+
+

-3x   =  6

-3x   =  6

x =
Division and multiplication  inverse each other.
-2•

          = 16

-2

x
x =
•-2
Inverse what is with the variable.

x + 6 = -9

  

x        =

x - (-9) = -5

x          =

x  +  9 =  -5

Clean up first.

x - 3 = -8

   


x        =

+
+

x + 3 = 1

  


x        =

-4•

          = -8

-4

x
x =
•-4

-4x   =  -8

x =

-0.2x   =  6

x =

          = -1.6

-4

x
x =

x + 3.2 = 1

  

x        =

x - 3.7 = -8


x        =

+
+

x - (-3) = -2


 

x        =

x +       =  
Clean up the signs!

          = .3

-4

x
x =
Multiply both sides by the reciprocal to reverse the 
multiplication by a fraction.

3

2

2
3
x
x = 
=
12
6

2

3

1

Multiply both sides by the reciprocal to reverse the 
multiplication by a fraction.
3
4
x
x = 
=
6
Multiply both sides by the reciprocal to reverse the 
multiplication by a fraction.
2
5
x
x = 
=
1
5
2

Mixed to improper.  Multiply both sides by the

reciprocal to reverse the multiplication by a fraction.

1
x = 
2
5
x
x
=
=
3
4
7

x - 1.2 = -6

 

x        =

+
+

-3x   =  6

x =
3
x
3
x = 
=
-4
3
-5
-5
x
x = 
=
-4
-5
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