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Transparency 9. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 9-3b. Objective. Solve equations by using the Division and Multiplication Properties of Equality. Example 9-3b. Review Vocabulary. Identity Property (X).

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Transparency 9

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  1. Transparency 9 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 9-3b Objective Solve equations by using the Division and Multiplication Properties of Equality

  4. Example 9-3b Review Vocabulary Identity Property (X) The product of a number and 1 is that same number 7 · 1 = 7 X · 1 = X

  5. Lesson 9 Contents Example 1Solve a Multiplication Equation Example 2Solve a Division Equation Example 3Use an Equation to Solve a Problem

  6. Solve Example 9-1a Write the equation. Ask: What is being done to the variable? 7z = -49 The variable is being multiplied by 7 7z = -49 Do the inverse on both sides of the equal sign 7 7 Bring down 7z = - 49 Divide 7z by 7 Divide - 49 by 7 Combine like terms 1/3

  7. Solve Example 9-1a Divide 7 by 7 Bring down z = Divide 49 by 7 7z = -49 Opposite signs in division makes a negative answer 7 7 Remember: The identity property of Multiplication states anything multiplied by 1 does not change 1z = 1z = - 7 1 1z = 7 z z = -7 Multiply 1  z Bring down = - 7 Answer: z = -7 1/3

  8. Solve Example 9-1b Answer: a = - 8 1/3

  9. Example 9-2a Write the equation. Ask: What is being done to the variable? Solve The variable is being divided by 9 Do the inverse on both sides of the equal sign  9 = - 6  9 Bring down Multiply by 9 Bring down = - 6 Multiply by 9 2/3

  10. Example 9-2a Combine like terms Solve Remember: If the same number is in the numerator as in the denominator they can be divided into each other to make 1  9  9 = - 6 Divide 9 by 9 1c = 1c = 54 1 1c = - 54 Bring down the c = Multiply 6  9 Opposite signs in division makes a negative answer 2/3

  11. Example 9-2a Solve 1c = - 54 Multiply 1  c Bring down = - 54 c c = - 54 Answer: c = –54 2/3

  12. Example 9-2b Solve Answer: x = - 50 2/3

  13. Let the number of chains Example 9-3a SURVEYINGEnglish mathematician Edmund Gunter lived around 1600. He invented the chain, which was used to measure land for maps and deeds. One chain equals 66 feet. If the south side of a property measures 330 feet, how many chains long is it? One chain equals 66 feet. Words Variable More Needed Information Measurement of property 330 feet 3/3

  14. Let the number of chains Example 9-3a SURVEYINGEnglish mathematician Edmund Gunter lived around 1600. He invented the chain, which was used to measure land for maps and deeds. One chain equals 66 feet. If the south side of a property measures 330 feet, how many chains long is it? One chain equals 66 feet. Words Variable More Needed Information Measurement of property is 330 feet Write the equation. c 66c 66c = 330 3/3

  15. Example 9-3a Solve the equation Ask: What is being done to the variable? 66c = 330 The variable is being multiplied by 66 66c = 330 Do the inverse on both sides of the equal sign 66 66 Bring down 66c = 330 Divide 66c by 66 Divide 330 by 66 3/3

  16. Example 9-3a Combine like terms Remember: If the same number is in the numerator as in the denominator they can be divided into each other to make 1 66c = 330 66 66 1c = 1 1c = 5 Divide 66 by 66 Bring down the c = c = 5 c Divide 330 by 66 Multiply 1  c Bring down = 5 Answer: c = 5 chains 3/3

  17. Example 9-3b * HORSESMost horses are measured in hands. One hand equals 4 inches. If a horse measures 60 inches, how many hands is it? Answer: x = 15 hands 3/3

  18. End of Lesson 9 Assignment

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