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Solving Equations by Multiplying & Dividing | Lesson Presentation | Warm Up Problems

Practice solving equations by multiplying and dividing both sides using the multiplicative inverse. Includes guided examples and quizzes for reinforcement.

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Solving Equations by Multiplying & Dividing | Lesson Presentation | Warm Up Problems

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  1. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  2. Do Now Solve. 1. 2. 3. 4.

  3. Objective SWBAT solve equations by multiplying both sides of the equation using the multiplicative inverse.

  4. Remember! Dividing by a number is the same as multiplying by its reciprocal.

  5. 3 3 3 __ __ __ j÷ = 25 ÷ 5 5 5 3 5 5 __ __ __ j•= 25 • 5 3 3 5 __ j= 25 • 3 25 • 5 _____ j= 1 • 3 125 2 ___ __ j= or 41 3 3 Ex.1: Solving Equations by Multiplying and Dividing Solve each equation. Write the answer in simplest form. 3 __ j= 25 5 So basically, all that we are doing is… • Multiplying both sides by the reciprocal of the fraction next to the variable. Is being multiplied to j j

  6. 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.

  7. 76 1 ___ __ j= , or 25 3 3 TOYO 1 Solve each equation. Write the answer in simplest form. 3 __ j= 19 • Multiply both sides by the reciprocal of the fraction next to the variable. 4

  8. 5y __ 8 8 6 5y 8 __ __ __ __ 5 1 8 5 48 3 __ __ 5 5 Ex. 2: Solving Equations by Multiplying and Dividing Solve each equation. Write the answer in simplest form. • Multiply both sides by the reciprocal of the fraction next to the variable. = 6 Is being multiplied to y •=• y = , or 9

  9. 6y __ 7 28 2 __ __ 6 3 TOYO 2 Solve each equation. Write the answer in simplest form. • Multiply both sides by the reciprocal of the fraction next to the variable. = 4 y = , or 4

  10. 2 __ 5 1 2 7x 1 __ __ __ __ 7 5 1 7 2 • 1 ____ 5 • 7 2 __ 35 Ex. 3: Solving Equations by Multiplying and Dividing Solve each equation. Write the answer in simplest form. • Multiply both sides by the reciprocal of the fraction next to the variable. 7x = •=• x = x =

  11. 1 __ 7 1 __ 21 TOYO 3 Solve each equation. Write the answer in simplest form. 3x = x =

  12. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

  13. 1 1 __ __ 1 __ 8 4 24 3 __ y 98 2 __ __ __ x = or 32 7 7 3 3 1 __ 4 TWAP and Show Your Work Solve each equation. Write the answer in simplest form. 1. 3x = 2.x = 4 3.x = 14 4. = 9 5. Rebecca used 3 pt of paint to paint of the trim in her bedroom. How many pints will Rebecca use for the trim in the entire bedroom? x = 16 x = y = 63 12

  14. Chapter 5 Test Review Activity • With your group, complete the following questions from the “Chapter 5 Study Guide Review” on page 232: • Section 1 – Even Only • Section 2 – Even Only • Section 3 – Odd Only • Section 4 – #’s 20 – 23 • Section 5 – All • Section 6 - #’s 31 – 33 • Section 7 – Odd Only • Each group is expected to complete all of the assigned questions in their notes. • A representative will be chosen at random to complete a couple of questions at the board from a selected section. • If this representative does a great job, then a maximum of 3 points will be added to Wednesday’s Test.

  15. Chapter 5 Review Section 5 Section 1 Section 2 Section 3 Section 4 Section 6 Section 7

  16. Lesson Quiz for Student Response Systems 1. Solve the equation and identify the answer in the simplest form. A. C. B. D.

  17. 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

  18. Lesson Quiz for Student Response Systems 3. Solve the equation and identify the answer in the simplest form. A. C. B. D.

  19. Lesson Quiz for Student Response Systems 4. Solve the equation and identify the answer in the simplest form. A. y = 72C. B. y = 17 D.

  20. 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

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