Solving Equations with Rational Numbers Warm Up Problem

Solving Equations with Rational Numbers Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

Solving Equations with Rational Numbers Warm Up Add or subtract. 1. 5 7 + 10 10 11 5 3 5 2. 2 – 1 8 16 11 16 3. 4. 8 + 3. 6 8. 4 4. 2. 4 – 0. 05 2. 35

Solving Equations with Rational Numbers Learn to solve equations with rational numbers.

Solving Equations with Rational Numbers Additional Examples 1 A: Solving Equations with Decimals (Guided) Solve. m + 4. 6 = 9 – 4. 6 = – 4. 6 m = 4. 4 Use the Subtraction Property of Equality. Subtract 4. 6 from both sides.

Solving Equations with Rational Numbers Additional Examples 1 B: Solving Equations with Decimals (Guided) Solve. 8. 2 p = – 32. 8 8. 2 p = – 4 Use the Division Property of Equality. Divide both sides by 8. 2

Solving Equations with Rational Numbers Additional Examples 1 C: Solving Equations with Decimals (Guided) Solve. x = 15 1. 2 x = 1. 2 • 15 1. 2 • 1. 2 x = 18 Use the Multiplication Property of Equality. Multiply both sides by 1. 2

Solving Equations with Rational Numbers Check It Out: (Independent) Solve. A. m + 9. 1 = 3 – 9. 1 = – 9. 1 m = – 6. 1 Use the Subtraction Property of Equality. Subtract 9. 1 from both sides. B. 5. 5 b = 75. 9 5. 5 b = 13. 8 Use the Division Property of Equality. Divide both sides by 5. 5

Solving Equations with Rational Numbers Check It Out: (Independent) Solve. y = 90 C. 4. 5 y = 4. 5 • 90 4. 5 • 4. 5 y = 405 Use the Multiplication Property of Equality. Multiply both sides by 4. 5

Solving Equations with Rational Numbers Additional Example 2 A: Solving Equations with Fractions Solve. 3 2 n+ =– 7 7 2 2 3 2 n– + =– – 7 7 n=– 5 7 2 Subtract from both sides. 7

Solving Equations with Rational Numbers Additional Example 2 B: Solving Equations with Fractions Solve. 1 2 y– = 6 3 1 y 1 2 1 + – = + 6 6 3 6 4 1 y= + 6 6 5 y= 6 1 Add to both sides. 6 Find a common denominator; 6. Simplify.

Solving Equations with Rational Numbers Additional Example 2 C: Solving Equations with Fractions See Lesson 5 -1: Video Example #2

Solving Equations with Rational Numbers Solve. Check It Out: Example 2 B 1 3 y– 2 = 4 1 y 1 3 1 + – = + 2 2 4 2 3 2 + 4 4 1 y=1 4 y= 1 Add to both sides. 2 Find a common denominator; 4. Simplify.

Solving Equations with Rational Numbers Check It Out: Example 2 C Solve. 6 3 x = 19 8 2 6 8 3 8 • • x = 19 3 1 8 3 x = 16 19 Multiply both sides by Simplify. 8. 3

Solving Equations with Rational Numbers Lesson Quizzes Standard Lesson Quiz for Student Response Systems

Solving Equations with Rational Numbers Lesson Quiz: Part I Solve. 1. x – 23. 3 = 17. 8 x = 41. 1 3 2 2. j + = – 14 4 3 5 j = – 15 12 3. 9 y = 3 5 y= 1 15 d = 23 4. 4 8 1 d=9 2

Solving Equations with Rational Numbers Lesson Quiz: Part II 2 5. Tamara can mow 5 acre in one hour. If her yard is 2 acres, how many hours will it take her to mow the entire yard? 5 hours

Solving Equations with Rational Numbers Lesson Quiz for Student Response Systems 1. Solve. a – 36 = 44. 9 A. a = 36. 7 B. a = 49. 2 C. a = 59. 9 D. a = 80. 9

Solving Equations with Rational Numbers Lesson Quiz for Student Response Systems 2. Solve. c + 3 = – 11 4 4 5 A. c = 12 11 20 C. c = 11 4 5 B. c = – 12 11 20 D. c = 113 4

Solving Equations with Rational Numbers Lesson Quiz for Student Response Systems 3. Solve. 8 e = 2 3 A. e = 8 2 3 C. e = 1 12 B. e = 5 1 3 D. e = 3 20

Solving Equations with Rational Numbers Lesson Quiz for Student Response Systems 4. Solve. h = 35 3 6 A. h = 9 1 2 C. h = 11 1 2 B. h = 10 1 2 D. h = 12 1 2