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2.3 Solving multi-step equations

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1 2.3 Solving multi-step equations
I can solve multi-step equations in one variable.

2 Combine like terms within parentheses Distribute (if necessary)
Here’s the process Combine like terms within parentheses Distribute (if necessary) Undo (use inverse operations) Continue combining like terms as you go!

3 Some examples 5 = 5m – m Combine like terms 5 = 7m – 23 Undo 28 = 7m 4 = m **notice that there was no distributing to be done so we skip this step.

4 No like terms to combine Distribute the negative 4 – 3 + x = 15
Some examples 4 – (3 – x) = 15 No like terms to combine Distribute the negative 4 – 3 + x = 15 1 + x = 15 Undo x = 14

5 practice 11m – 8 – 6m = 22 3.5 – 0.02x = 1.24 3𝑥 4 − 𝑥 3 =10 -8(2x – 1) = 36

6 Writing and solving a multi-step equation
Martha takes her niece and nephew to a concert. Her niece wants 1 shirt and 4 bumper stickers, and her nephew wants 2 shirts. Bumper stickers are $1 each. Martha spends $67. How much does a shirt cost? (s + 4) + 2s = 67 s = 21, shirts are $21 each

7 Assignment ODDS ONLY P.98 #11-33, 39-55


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