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Practice Solving Equations
Contributed by: Miles
(Original author: Dyson)
In this activity, you will practice solving: 
Practice Solving Equations
* one step equations
* two step equations
* multi step equations
* equations with variables on both sides
One way to solve equations is by using 
INVERSE OPERATIONS.

The inverse of addition is

The inverse of subtraction is
The inverse of multiplication is
The inverse of division is
subtraction
?
multiplication
?
addition
?
division
?
Example 1: One step equation
4x      =  -12
 4              4
x
=
divide both sides by 4
solution
Example 2: Solving two step equations
  2p       =   -24
2p  -  3  =  -27
2
p   = 
+ 3
+3
 2
divide both sides by 2
add 3 to both sides
solution
Your turn! Solve the one step equation.
Fill in the missing numbers.
5y     =    -5
y    =
Your turn! Solve the two step equation.
Fill in the missing numbers and operations.
3y  +  8    =  23
3y     =    15
y    =
Solve the two step equation by using inverse operations
-4y  -  1    =  15
-4y     =    16
y    =
Solve the equation with the variable on the right side.
51  =  4x   +  3
=   4x 
=  x 
Solve the multi step equation.
-20  =  5n +
-20  =  5(n + 2) 
=   n
=   5n 
+ 10
Solve the equation with variables on both sides.
+ 5x                + 5x
-3x + 14  =  -5x + 6 
+ 14  =  
- 14
x = 
= -8
Solve this multi step equation.
3(2x   -  1) - 2x  =  21
6x  -         - 2x  =  21
         - 3 =  21
x   =
=
Divide both sides by 4
Distribute the "3"
Combine like terms
Add 3 to both sides
Solve the multi step equation.
+ 4x                 + 4x
-2x          =  -4x 
-2(x + 9)  =  -4(x - 1) 
- 18      =  4
2x    =  
x =  
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