Chapter 3.2 Notes: Solve Two-Step Equations

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Chapter 3.2 Notes Solve Two-Step Equations

• Goal You will solve two-step equations.

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• Equivalent equations have the same solutions, or
  the same solution set.
• Many equations contain more than one operation,
  such as
• 2x 5 11.
• Identify the operations in the equation and the
  order in which to solve the equation.
• Subtract 5 on both sides
• Divide 2 on both sides
• Answer is 3.

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• Ex.1 What is the value of x if ?
• Ex.2 Solve 7x 4x 21
• Ex.3 Solve -16 5d 9d
• Ex.4 Solve
• Ex.5 Solve 10 6 2x

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• Ex.6 Solve -3x 44 50
• Ex.7 Solve
• Ex.8 Solve
• Ex.9 Solve 5x 9 39
• Ex.10 Solve

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• Ex.11 Kim has a job where she makes 8 per hour
  plus tips. Yesterday, Kim has made 53, including
  13 from tips. How many hours did she work?
• Ex.12 To rent a booth at the county fairgrounds
  cost 42 per day plus a one-time equipment of
  85. Find the number of days Hr. Howzie rented a
  booth if he paid a total of 337.

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• Symbols and Words for

Addition Subtraction Multiplication Division
Sum Difference Times Quotient
Plus Less Product Divided by
Total Less than Multiplied by Divided into
More than Minus Of
increased by Decreased by
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• Ex.13 The value of y is 3 less than 5 times the
  value of x. Find x when y 17.
• Ex.14 The value of y is 7 more than 2 times the
  value of x. Find x when y 15.