Solving Equations and Formulas

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Lesson 3-8

• Solving Equations and Formulas

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Objectives

• Solve equations for given variables
• Use formulas to solve real-world problems

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Vocabulary

• Dimensional analysis process of carrying units
  throughout a computation
• Literal equation an equation that consists
  mostly of variables (formulas are literal
  equations)

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Four-Step Problem Solving Plan

• Step 1 Explore the Problem
• Identify what information is given (the facts)
• Identify what you are asked to find (the
  question)
• Step 2 Plan the Solution
• Find an equation the represents the problem
• Let a variable represent what you are looking for
• Step 3 Solve the Problem
• Plug into your equation and solve for the
  variable
• Step 4 Examine the Solution
• Does your answer make sense?
• Does it fit the facts in the problem?

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Example 1
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Example 2
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Example 2 cont
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Example 3
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Example 4
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Example 5
Geometry What is the height of a cylindrical
swimming pool that has a radius of 12 feet and a
volume of 1810 cubic feet?
Answer The height of the cylindrical swimming
pool is about 4 feet.
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Summary Homework

• Summary
• For equations with more than one variable, you
  can solve for one of the variables by using the
  same steps as solving equations with one variable
• Homework
• pg 168 14-30 even