Solving 2 step equations web

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Solving 2 step equations web

  1. 1.    At the Ringgold County Fair and Carnival, it costs $15 to get into the fairgrounds. It costs extra to ride the premium rides. Julia rode 8 premium rides. After day was over, Julia had spent a total of $27. What was the cost of each premium ride. Write an algebraic equation. You do not need to solve…
  2. 2.   At the Ringgold County Fair and Carnival, it costs $15 to get into the fairgrounds. It costs extra to ride the premium rides. Julia rode 8 premium rides. After day was over, Julia had spent a total of $27. What was the cost of each premium ride. Write an algebraic equation. ◦ 8x + 15 = 27  You do not need to solve…
  3. 3.  Integer operations  Properties of addition and multiplication  Solving Equations ◦ Bar Model ◦ Inverse Operations Model
  4. 4.  Students will learn to… ◦ Write and solve 2-step equations.
  5. 5.     8x + 15 = 27 - 15 = - 15 8x = 12 Goal: Isolate the variable Question: How can I get the variable by itself? 8x = 12 8 8 x = 1.5  What does that mean for the context of our problem?
  6. 6. Goal: Isolate the variable Subtract 15 x x x x x x x x x x x 27 x x x x x 12 15
  7. 7. ◦ 1) Combine like terms ◦ 2) Undo addition or subtraction ◦ 3) Undo multiplication or division  Like terms: 3x + 5 + x + 5 = 22
  8. 8.  Simplify by combining like terms ◦ 5x + 12 + (-9) = 8 ◦ 5x + 3 = 8  Undo addition or subtraction ◦ 5x + 3 = 8 ◦ - 3 = -3 ◦ 5x = 5  Undo multiplication or division ◦ 5x = 5 ◦ 5 5 ◦ x=1
  9. 9.  Simplify by combining like terms ◦ 2x + x + 10 = 25 ◦ 3x + 10 = 25  Undo addition or subtraction ◦ 3x + 10 = 25 ◦ - 10 = -10 ◦ 3x = 15  Undo multiplication or division ◦ 3x = 15 ◦ 3 3 ◦ x=5
  10. 10.
  11. 11. Target Practice: Pg. 363 #3-5, 27-30

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