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Solving Multistep Equations

Solving Multistep Equations. Objectives: To solve equations by first collecting like terms To solve equations using distributive property. STEPS TO SOLVING LINEAR EQUATIONS. D ON ’ T C ALL M E A FTER M IDNIGHT D istribute C ombine like terms M ove the variables to one side

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Solving Multistep Equations

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  1. Solving Multistep Equations Objectives: To solve equations by first collecting like terms To solve equations using distributive property

  2. STEPS TO SOLVING LINEAR EQUATIONS DON’T CALL ME AFTER MIDNIGHT • Distribute • Combine like terms • Move the variables to one side • Add/subtract • Multiply/divide DCMAM IS A ROAD MAP BUT NOT THE ONLY WAY TO SOLVE AN EQUAITON

  3. Key Vocabulary When combining like terms, add or subtract the coefficients and the variable stays the same Like Terms: Same variable to the same power.

  4. Which of the following could be the first step? A) Subtract 4 from both sides B) Subtract 6 from both sides C) Add 4 to both sides D) Combine like terms (-7x and 3x)

  5. Example 1 Solve. -7x + 3x + 4 = 6 Combine like terms -4x + 4 = 6 Subtract from both sides -4 -4 -4x = 2 Divide on both sides -4 -4

  6. How else can we solve example 1? Subtract from both sides Combine like terms Divide on both sides

  7. Key Vocabulary Distributive Property: When a number or variable outside a ( ) is multiplied to each term inside the ( ). Example: Non-example:

  8. Which of the following could be the first step? 8(3x + 2) = 40 A) Subtract 2 from both sides B) Distribute the 8 C) Divide both sides by 8 D) Add the 3x and 2

  9. Example 2 Solve. 8(3x + 2) = 40 distribute 24x + 16 = 40 -16 -16 Subtract from both sides 24x = 24 Divide on both sides 24 24

  10. How else can we solve example 2? Divide both sides Subtract from both sides Divide on both sides

  11. Which of the following could be the first step? A) Add the 2m and 1 B) Distribute the -2 C) Add 24 to both sides D) Subtract 24 from both sides

  12. Example 3 distribute Commutative property Combine like terms Subtract from both sides Divide on both sides

  13. How else can we solve Example 3? Subtract from both sides distribute Add to both sides Divide on both sides

  14. Placemat Activity Solve each of the expression. Note the property that allows you to move from step to step (use abbreviations). When complete, find the product of all the answers.

  15. Placemat Solutions

  16. Homework #9 page 148-149 Problems 25 – 43 Make sure you do #37 & 39 TWO ways

  17. SUMMARY • What are the steps to solving an equations? • Which steps from DCMAM can be done in a different order? Give a new set of letters for the alternate steps possible.

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