Download Solving Multi-Step Equations

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Solving Multi-Step
Equations
September 8, 2015
Steps for Solving….
1. Simplify one or both sides of the equation
(if needed). You may need to distribute or
combine like terms.
2. Use inverse operations to isolate the
variable. (DO THE OPPOSITE OF ORDER
OF OPERATIONS)
a. UNDO ADDITION OR SUBTRACTION
b. UNDO MULTIPLICATION OR DIVISION
Solving a Linear Equation
1
x  6  8
3
 6  6
1
x  14
3
1 
3  x    14  3
3 
x  42
Write the original equation.
Subtraction property of equality.
Simplify.
Multiplication property of equality.
Simplify.
CHECK
Combining Like Terms
First…
7 x  3x  8  24
4x  8  24
 8  8
Write the original equation.
Combine like terms.
Addition Property of Equality.
4x  32
Simplify.
4
Division Property of Equality
4
x 8
Simplify.
CHECK
Using the Distributive
Property…
5 x  3( x  4)  28 Write the original equation.
5x  3x  12  28 Distributive Property.
8x 12  28 Combine like terms.
 12  12 Subtraction Property of Equality
8x  16
8
8
x2
Simplify
Division Property of Equality.
Simplify.
CHECK
Distributing a
Negative…
4 x  3( x  2)  21 Write the original equation.
Distributive Property
4x  3x  6  21
x  6  21 Combine like terms.
 6  6
x = 15
Subtraction Property of Equality.
Simplify
CHECK
Multiplying by a
Reciprocal First…
6
66   ( x  3)
5
Practice…
 7x  4x  9
3( x  2)  18
12( 2  x )  6