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

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

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?

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

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

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

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

ALGEBRA READINESS Solve each equation. 1. = 6 2. p = h = 4. k = 4 n4n Solving Equations by Multiplying LESSON 5-6 Lesson Quiz