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Transparency 3. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 3-3c. Objective. Solve subtraction equations. Example 3-3c. Vocabulary. None. Lesson 3 Contents. Example 1 Solve an Equation by Adding Example 2 Solve a Subtraction Equation

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  1. Transparency 3 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 3-3c Objective Solve subtraction equations

  4. Example 3-3c Vocabulary None

  5. Lesson 3 Contents Example 1Solve an Equation by Adding Example 2Solve a Subtraction Equation Example 3Use an Equation to Solve a Problem

  6. Example 3-1a Write the equation. Ask “what is being done to the variable?” The variable is being subtracted by 5 x – 5 + 5 = 10 + 5 Do the inverse on each side to “undo” the subtraction Bring down x - 5 Add 5 Bring down = 10 Add 5 1/3

  7. Example 3-1a Bring down x Combine “like” terms Bring down = Combine “like” terms x – 5 + 5 = 10 + 5 Use the Identity Property of Addition to add x + 0 x + 0 = 15 Answer: x = 15 1/3

  8. Example 3-1c Answer: w = 12 1/3

  9. Example 3-2a Write the equation. Ask “what is being done to the variable?” The variable is being subtracted by 5 = -1 + 5 x – 5 + 5 Do the inverse on each side to “undo” the subtraction Bring down x - 5 Add 5 Bring down = -1 Add 5 2/3

  10. Example 3-2a Bring down x Combine “like” terms Bring down = Combine “like” terms = -1 + 5 x – 5 + 5 Use the Identity Property of Addition to add x + 0 x 4 + 0 = Answer: x = 4 2/3

  11. Example 3-2b Answer: d = 3 2/3

  12. Example 3-3a The difference between the record high and the record low temperatures in Oregon is 173F. The record low temperature is –54F. What is the record high temperature in degrees Fahrenheit? Determine process to use Difference = high - low = x 173 The word “difference” tells us we need to subtract Replace “difference” with 173 Bring down = Replace “high” with variable 3/3

  13. Example 3-3a The difference between the record high and the record low temperatures in Oregon is 173F. The record low temperature is –54F. What is the record high temperature in degrees Fahrenheit? Difference = high - low Bring down - = x - (- 54) Replace “low” with -54 173 Remember: With 2 negative signs, put them together to make addition 173 = x + 54 3/3

  14. Example 3-3a Ask “what is being done to the variable?” Difference = high - low The variable is being added by 54 173 = x - (- 54) 173 = x + 54 Do the inverse on each side to “undo” the addition 173 - 54 - 54 = x + 54 Bring down 173 Subtract 54 Bring down = x + 54 Subtract 54 3/3

  15. Example 3-3a Combine “like” terms Difference = high - low Bring down = x 173 = x - (- 54) Combine “like” terms 173 = x + 54 Use the Identity Property of Addition to add x + 0 173 - 54 - 54 = x + 54 Add dimensional analysis 119 = x + 0 What is the record high temperature in degrees Fahrenheit? Answer: 119 = x 0 F 3/3

  16. Example 3-3c * The difference between the age of Julie’s mother and Julie’s age is 27 years. Julie’s age is 6. What is the age of Julie’s mother? Answer: x = 33 years NOTE: Could also be 33 years = x 3/3

  17. End of Lesson 3 Assignment

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