3.3 Variables on Both Sides.notebook
October 06, 2011
Multi­step equations: The sides of the equations need to be simplified before it can be solved.
3.3
Solving Equations with Variables on Both Sides
Steps For Solving A Multi­Step Equation
1. Use the distributive property to remove parentheses on each side
2. Combine like­terms on each side
3. Undo addition or subtraction
4. Undo multiplication or division
Sep 5­1:27 PM
7x ­ 1 = 6x +5
Sep 2­2:43 PM
7x ­ 1 = 6x +5
There are x's on both sides of the equal sign. We need to remove the x's on one side
Sep 3­9:32 PM
What if we had decided to move the 7x to the other side first?
Sep 3­9:32 PM
Try one on your own!
8 ­ 2x = 6x + 4
7x ­ 1 = 6x +5
Think: How can I start off with positive x's?
Sep 3­9:32 PM
Sep 3­10:20 PM
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3.3 Variables on Both Sides.notebook
x = 6x + 60
October 06, 2011
Variables on both sides
7w + 3 ­ 2w = 6 + 8w
Think: How can I start off with positive x's?
Sep 3­10:20 PM
Variables on both sides
8z + 3(z­3) = 135 ­ z
Sep 5­1:27 PM
When we talk about equation solving, we say an equation has NO SOLUTION when it is never true. 6x ­ 5 = 7x + 7 ­x
Sep 5­1:27 PM
When we talk about equation solving, we call an equation an IDENTITY when it is always true. 10 ­ 8x = 2(5­4x)
Sep 5­1:27 PM
Homework #14:
3.3 Worksheet
#1­25 odd
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Sep 5­1:27 PM
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