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Solving Fraction Equations: 5-7 Multiplication and Division Warm Up Problem of the Day Lesson Presentation Lesson Quizzes Solving Fraction Equations: 5-7 Multiplication and Division Do Now Solve. 1. 3. 2. 4. Solving Fraction Equations: 5-7 Multiplication and Division Objective SWBAT solve equations by multiplying both sides of the equation using the multiplicative inverse. Solving Fraction Equations: 5-7 Multiplication and Division Remember! Dividing by a number is the same as multiplying by its reciprocal. Solving Fraction Equations: 5-7 Multiplication and Division Ex.1: Solving Equations by Multiplying and Dividing Solve each equation. Write the answer in simplest form. 3 __ j = 25 5 3 3 3 __ j ÷ __ = 25 ÷ __ 5 5 5 Is being multiplied to j j 3 __ j• 5 5 5 __ __ = 25 • 3 3 5 j = 25 • __ 3 25 • 5 j = _____ 1•3 125 2 j = ___ or 41 __ 3 3 So basically, all that we are doing is… • Multiplying both sides by the reciprocal of the fraction next to the variable. Solving Fraction Equations: 5-7 Multiplication and Division Let’s Try This One Together Solve each equation. Write the answer in simplest form. • Multiply both sides by the reciprocal of the fraction next to the variable. Solving Fraction Equations: 5-7 Multiplication and Division TOYO 1 Solve each equation. Write the answer in simplest form. 3 __ j = 19 4 76 1 ___ j= , or 25 __ 3 3 • Multiply both sides by the reciprocal of the fraction next to the variable. Solving Fraction Equations: 5-7 Multiplication and Division Ex. 2: Solving Equations by Multiplying and Dividing Solve each equation. Write the answer in simplest form. 5y __ = 6 • Multiply both sides by the 8 reciprocal of the fraction next to the variable. Is being multiplied to y 8 6 __ 5y 8 __ __ • __ = • 5 1 8 5 48 3 y = __ , or 9 __ 5 5 Solving Fraction Equations: 5-7 Multiplication and Division TOYO 2 Solve each equation. Write the answer in simplest form. 6y __ = 4 7 • Multiply both sides by the reciprocal of the fraction next to the variable. 28 2 y = __ , or 4 __ 6 3 Solving Fraction Equations: 5-7 Multiplication and Division Ex. 3: Solving Equations by Multiplying and Dividing Solve each equation. Write the answer in simplest form. 2 • Multiply both sides by the 7x = __ 5 reciprocal of the fraction next to the variable. 1 2 7x 1 __ • __ = __ • __ 7 5 1 7 2•1 x = ____ 5•7 2 x = __ 35 Solving Fraction Equations: 5-7 Multiplication and Division TOYO 3 Solve each equation. Write the answer in simplest form. 1 3x = __ 7 1 x = __ 21 Solving Fraction Equations: 5-7 Multiplication and Division Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems Solving Fraction Equations: 5-7 Multiplication and Division TWAP and Show Your Work Solve each equation. Write the answer in simplest form. 1 1 1. 3x = __ x = __ 8 24 1 x=4 2. __ x = 16 4 3 x = 14 __ y =9 2 4. __ 3. __ x = 98 or 32 __ 7 7 3 3 y = 63 1 5. Rebecca used 3 pt of paint to paint __ of the 4 trim in her bedroom. How many pints will Rebecca use for the trim in the entire bedroom? 12 Solving Fraction Equations: 5-7 Multiplication and Division Chapter 5 Test Review Activity With your group, complete the following questions from the “Chapter 5 Study Guide Review” on page 232: • Each group is expected to • Section 1 – Even Only complete all of the assigned • Section 2 – Even Only questions in their notes. • Section 3 – Odd Only • A representative will be chosen at random to complete a couple of • Section 4 – #’s 20 – 23 questions at the board from a • Section 5 – All selected section. • Section 6 - #’s 31 – 33 • If this representative does a great • Section 7 – Odd Only job, then a maximum of 3 points will be added to Wednesday’s Test. Solving Fraction Equations: 5-7 Multiplication and Division Chapter 5 Review 5 Section 7 1 2 3 4 6 Solving Fraction Equations: 5-7 Multiplication and Division Lesson Quiz for Student Response Systems 1. Solve the equation and identify the answer in the simplest form. A. C. B. D. Solving Fraction Equations: 5-7 Multiplication and Division Lesson Quiz for Student Response Systems 2. Solve the equation and identify the answer in the simplest form. A. x = 5 C. x = 25 B. x = 10 D. x = 50 Solving Fraction Equations: 5-7 Multiplication and Division Lesson Quiz for Student Response Systems 3. Solve the equation and identify the answer in the simplest form. A. C. B. D. Solving Fraction Equations: 5-7 Multiplication and Division Lesson Quiz for Student Response Systems 4. Solve the equation and identify the answer in the simplest form. A. y = 72 C. B. y = 17 D. Solving Fraction Equations: 5-7 Multiplication and Division Lesson Quiz for Student Response Systems 5. Lou is learning to paint pottery. He used 3 pints of paint to paint of a pot. How many pints will Lou use for the entire pot? A. C. 3 pt B. D. 7 pt