Solving 2 step equations

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Solving 2 step equations

  1. 1.  A number multiplied by three is 27.  A number divided by eight is two.  A number tripled and increased by ten is 22.
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  4. 4.      Adding and subtracting Integers Multiplying and dividing Integers Properties of Addition Properties of Multiplication Solving one-step equations ◦ x – 12 = 22 ◦ 4x = 48
  5. 5.  Students will learn to… ◦ Solve 2-step equations.
  6. 6.    Each group will read about a method used to solve 2 step equations. After your group has read the selection, your job is to teach it to another group. Each group member must have a role.
  7. 7.   Write down any questions you have about your method. Prepare to teach your method to the class or other groups…
  8. 8.  With your group, prepare a lesson to teach your method to the class using the above problem. Solve 2 step equations.
  9. 9. Without guess and check, what steps are used to solve this equation? Goal: Isolate the variable Question: How can I get the variable by itself? How is this process related to the order of operations? x=4
  10. 10.  Order of Operations – backwards ◦ 1) Combine like terms ◦ 2) Undo addition or subtraction ◦ 3) Undo multiplication or division  Like terms: 3x + 5 + 5 = 22
  11. 11.  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
  12. 12.  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
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