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Warm-Up

Warm-Up. Solve the following equations in your head. 4. Explain to someone the steps to solve. Don’t write. Ch. 3.3 Solving Multi-Step Equations.

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Warm-Up

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  1. Warm-Up Solve the following equations in your head. • 4. • Explain to someone the steps to solve. Don’t write.

  2. Ch. 3.3 Solving Multi-Step Equations In this section we are going to solve for a variable using addition, subtraction, multiplication, division all in one problem. We are also going to solve by collecting like terms and using the distributive property.

  3. 1. Applying both properties: addition & subtractionObjective - To solve equations involving two steps. 3x + 4 = 16 Hard way Easy way 3x + 4 = 16 3x + 4 = 16 - Undo Multiplication or Division first - Undo Addition or Subtraction first

  4. Hard way Easy way - Undo Mult./ Div. first - Undo Add./ Subt. first 3x + 4 = 16 3x + 4 = 16 -4 -4 3 3 3x = 12 3x 4 16 = + 3 3 3 3 3 4 16 x = 4 x = + 3 3 4 4 - - 3 3 12 x = 3 x 4 =

  5. Rules for Transforming Equations • Use the distributive property first • Collect like terms • Use the Addition and Subtraction Property of Equality • Use the Multiplication and Division Property of Equality.

  6. Solve the following equations.

  7. Translate the sentence below and solve. 5) Eight more than 3 times a number y is the same as 29.

  8. Translate the sentence below and solve. 6) Five less than the quotient of x and 2 is 37.

  9. Solve the following equations.

  10. Write a variable equation to represent the situation and solve. Find the area of the rectangle below if the perimeter is equal to 60 cm. x Let x = the length 9 cm 9 cm x x + x + 9 + 9 = 60 2x + 18 = 60 -18 -18 2x = 42 2 2 x = 21

  11. Solve. 2. Collecting Like Terms FirstObjective - To solve multi-step equations. Combine like terms Transform

  12. Solve.

  13. Solve.

  14. Solve.

  15. Solve. 3. Solving equations using the distributive propertyObjective - To solve equations involving thedistributive property.

  16. Solve.

  17. Solve.

  18. Solve.

  19. Find the perimeter of the rectangle below if the area is 48 m . 2 x + 3 6 = 8 5 + 3

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