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8.5 Solving Equation with Variables on Each Side

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1 8.5 Solving Equation with Variables on Each Side

2 X Finds His Value

3 Steps to solve multi-step linear equations
Collect like terms Move variables to same side of equation. (using the Add/ sub prop of =) Move the constant to the opposite side of the equation (using the Add/ sub prop of =) Solve for x (using the Mult/div prop of =)

4 Example 1: 2x – 2 = -3x + 3 + 3x 5x – 2 =

5 Example 2:

6 Example 3: 6m +5 – 2m = 10 – 3m +16 4m +5 = 26 – 3m +3m 7m +5 = 26 -5

7 Example 4: -2.2 +0.3z = 3- 0.5z -0.8z +1.3z +1.3z -2.2 +1.6z=3 +2.2

8 Example 5:

9 # of DVD’s = x Netflix: 50 + 1.99x Blockbuster: 3.99 x
Netflix charges a yearly membership fee of $50 plus $1.99 per DVD rental. The Blockbuster store has no membership fee and charges $3.99 per DVD rental. Write an equation and solve to find the number of DVD’s for which the cost of each would be the same. # of DVD’s = x Netflix: x Blockbuster: 3.99 x

10 Assignment: Page 358 (2-28) even


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