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

A number multiplied by three is 27.



A number divided by eight is two.



A number tripled and increased by ten is 22.








Adding and subtracting Integers
Multiplying and dividing Integers
Properties of Addition
Properties of Multiplication
Solving one-step equations
◦ x – 12 = 22
◦ 4x = 48


Students will learn to…
◦ Solve 2-step equations.






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.




Write down any questions you have about
your method.
Prepare to teach your method to the class or
other groups…


With your group, prepare a lesson to teach
your method to the class using the above
problem.

Solve 2 step
equations.
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


Order of Operations – backwards
◦ 1) Combine like terms
◦ 2) Undo addition or subtraction
◦ 3) Undo multiplication or division



Like terms: 3x + 5 + 5 = 22


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


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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Solving 2 step equations

  • 1.  A number multiplied by three is 27.  A number divided by eight is two.  A number tripled and increased by ten is 22.
  • 4.
  • 5.      Adding and subtracting Integers Multiplying and dividing Integers Properties of Addition Properties of Multiplication Solving one-step equations ◦ x – 12 = 22 ◦ 4x = 48
  • 6.  Students will learn to… ◦ Solve 2-step equations.
  • 7.    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.
  • 8.   Write down any questions you have about your method. Prepare to teach your method to the class or other groups…
  • 9.  With your group, prepare a lesson to teach your method to the class using the above problem. Solve 2 step equations.
  • 10. 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
  • 11.  Order of Operations – backwards ◦ 1) Combine like terms ◦ 2) Undo addition or subtraction ◦ 3) Undo multiplication or division  Like terms: 3x + 5 + 5 = 22
  • 12.  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
  • 13.  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
  • 15.