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ALGEBRA READINESS LESSON 5-6 Warm Up Lesson 5-6 Warm-Up

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ALGEBRA READINESS LESSON 5-6 Warm Up Lesson 5-6 Warm-Up

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ALGEBRA READINESS “Solving Equations by Multiplying Fractions” (5-6) Multiplicative Inverse: the reciprocal of a number Rule: Inverse Property of Multiplication: the product of a number and its multiplicative inverse is 1 To isolate the variable in equations involving the multiplication of the variable by a fraction, undo the fraction from the variable side using the Division Property of Equality, which says divide both side by the fraction. Since dividing by a fraction means multiplying by its reciprocal, multiply both side by the reciprocal of the fraction using the Inverse Property of Multiplication. Example: What is a “multiplicative inverse”? What is the “inverse property of multiplication”? How do you solve equations in that involve multiplying fractions?

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ALGEBRA READINESS Solve 3c =. 3c = 4545 1313 1313 1313 Multiply each side by, the multiplicative inverse of 3. 4545 1c = Inverse Property of Multiplication 1313 c = 4 15 Multiply. 4545 Solving Equations by Multiplying LESSON 5-6 Additional Examples

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ALGEBRA READINESS Solve m = 24. Check the solution. 24 = 24 The solution checks. m = 32Multiply. 3434 m = 24 3434 1m = Inverse Property of Multiplication 24 1 4343 m = Divide 24 and 3 by their GCD, 3. 24 1 4343 8 1 (32) 24Replace m with 32. 3434 3434 m = 24 Multiply each side by, the multiplicative inverse of. 3434 4343 4343 4343 Check m = 24Start with the original equation. 3434 Solving Equations by Multiplying LESSON 5-6 Additional Examples

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ALGEBRA READINESS Mai Li worked 7 hours and earned $150. What amount did she earn per hour? 1212 150 1212 7 Words hours worked earnings per hour=amount earned Let m = earnings per hour. Equation m= Solving Equations by Multiplying LESSON 5-6 Additional Examples

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ALGEBRA READINESS (continued) Mai Li earned $20 per hour. m = Divide 15 and 150 by their GCD, 15. 2 15 150 1 1 10 m = 20Multiply. 7 m = 150 Write the equation. 1212 Solving Equations by Multiplying LESSON 5-6 Additional Examples m = Write 7 as an improper fraction. Write 150 as 15 2 150 1 1212 150 1. ( m) = Multiply each side by the multiplicative inverse of. 15 2 15 2 15 150 1 2 15 2,

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ALGEBRA READINESS Solve each equation. 1. = 6 2. p = 30 3. h = 4. k = 4 n4n4 24 75 24 2525 3838 1414 1616 2323 Solving Equations by Multiplying LESSON 5-6 Lesson Quiz

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