Solving 2 Step Equations Revised

It is important to learn this process, so that

you can apply it to more difficult equations!

Solving Two-Step Equations

Example 1
4
x
4x      =  12
 4               4
+
x
-   9
9
=
=
- 9
21
3
solution
divide both sides by 4
subtract 9 from both sides
Example 2
2p  -  3  =  27
2p         =   30
2
p      =  15
+ 3
+3
 2
add 3 to both sides
solution
divide both sides by 2
Your turn!
5y   -  15    =  20
Fill in the missing numbers.
5y     =    35
y    =
Solve these two step equations.
3y  +  8    =  23
3y     =    15
y    =
Solve these two step equations.
4y  -  1    =  15
4y     =    16
y    =
Solve these two step equations.
5y   -  4    =  36
5y     =    40
y    =
Solve these two step equations.
6y   +  7    =  37
6y     =    30
y    =
Solve these two step equations.
8y   -  2    =  14
8y     =
y    =
Solve these two step equations.
4y   +  3    =  51
4y     =
y    =
Solve these two step equations.
5y   -  1    =  29
5y     =
y    =
Solve these two step equations.
3y   +  14    =  23
3y     =
y    =
Solve these two step equations.
8y   -  11    =  21
8y     =
y    =
Solve these two step equations.
7y   -  9    =  54
y    =
=
Solve these two step equations.
4y   +  1    =  33
y    =
=
Solve these two step equations.
2y   -  13    =  1
y    =
=
Solve these two step equations.
3y   -  8    =  22
y    =
=
Solve these two step equations.
8y   -  29    =  3
y    =
=
Solve these two step equations.
9y   -  4    =  41
y    =
=
Solve these two step equations.
2y   +  7    =  17
y    =
=
Solve these two step equations.
4y   -  8    =  32
y    =
=
Solve these two step equations.
5y   +  3    =  18
y    =
=
Solve these two step equations.
7y   +  9    =  44
y    =
=
What is the first step in solving this equation?
6a   -  3   =  21

 add 6

 add 3

 subtract 6

 subtract 3

Identify the next step in solving this equation.
4b  +  8  =  56
4 +  0  =  48
4b      =  48
-  8

 add 4 to both sides

 multiply both sides by 4

 divide both sides by 4

 subtract  4 from both sides

-8

Remember:

FIRST, undo any addition or subtraction.

What you do to one side of the equation, you must

do to the other.  SHOW your work on both sides!

THEN, undo any multiplication.
Use inverse operations to isolate the variable.
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