Solving Two Step Equations

It is important to learn this process, so that

you can apply it to more difficult equations!

Solving Two-Step Equations

left side

Every equation has 2 sides, separated

by the = sign.

We can only have one = sign in the equation.

4 + x

=
12
right side
We also use INVERSE OPERATIONS.
The inverse of multiplication is division.
The inverse of division is multiplication.
The inverse of subtraction is addition.

The inverse of addition is subtraction.

Use inverse operations to undo the constant

before undoing the coefficient.

Coefficient
4
x
+
9
=
21
Constant
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.
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.
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    =
=
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