2-7 Solving Equations with Rational Numbers Learn to solve equations with rational numbers.

2-7 Solving Equations with Rational Numbers m = 9 Use the Subtraction Property of Equality. Subtract 4.6 from both sides. Once you have solved an equation it is a good idea to check your answer. To check your answer, substitute your answer for the variable in the original equation. Remember! Additional Examples 1A: Solving Equations with Decimals Solve. 4.4 m = – 4.6 =

2-7 Solving Equations with Rational Numbers 8.2p = –32.8 –4 p = Use the Division Property of Equality. Divide both sides by 8.2 – p 8.2 = Additional Examples 1B: Solving Equations with Decimals Solve.

2-7 Solving Equations with Rational Numbers Additional Examples 1C: Solving Equations with Decimals x = 18 Use the Multiplication Property of Equality. Multiply both sides by 1.2 = 15 x 1.2 = Solve.

2-7 Solving Equations with Rational Numbers m = 3 Use the Subtraction Property of Equality. Subtract 9.1 from both sides. Check It Out: Example 1A & 1B –6.1 m = –9.1 = Solve. A. B. 5.5b = = b 13.8 b = Use the Division Property of Equality. Divide both sides by 5.5

2-7 Solving Equations with Rational Numbers = 90 Check It Out: Example 1C y = 405 Use the Multiplication Property of Equality. Multiply both sides by 4.5 y 4.5 = Solve. C.

2-7 Solving Equations with Rational Numbers 2727 = – 3737 n + Additional Example 2A: Solving Equations with Fractions n – + = – – n = – 5757 Subtract from both sides Solve.

2-7 Solving Equations with Rational Numbers 1616 = 2323 y – Additional Example 2B: Solving Equations with Fractions Find a common denominator; 6. y = 5656 =y = 2323 – y Add to both sides Solve. Simplify.

2-7 Solving Equations with Rational Numbers 5656 = 5858 x Simplify. Additional Example 2C: Solving Equations with Fractions Divide both sides by Solve.

2-7 Solving Equations with Rational Numbers 1919 = – 5959 n + Check It Out: Example 2A n – + = – – n = – 2323 Subtract from both sides Simplify – Solve.

2-7 Solving Equations with Rational Numbers 1212 = 3434 y – Check It Out: Example 2B Find a common denominator; 4. y = =y = 3434 – y Add to both sides Solve. Simplify.

2-7 Solving Equations with Rational Numbers Simplify. Check It Out: Example 2C Divide both sides by x = = 6 19 x Solve.

2-7 Solving Equations with Rational Numbers Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

2-7 Solving Equations with Rational Numbers Lesson Quiz: Part I Solve. 1. x – 23.3 = j + = – y = y = x = j = – d 4 = d = 9

2-7 Solving Equations with Rational Numbers Tamara can mow acre in one hour. If her yard is 2 acres, how many hours will it take her to mow the entire yard? Lesson Quiz: Part II 5. 5 hours 2525

2-7 Solving Equations with Rational Numbers 1. Solve. a – 36 = 44.9 A. a = 36.7 B. a = 49.2 C. a = 59.9 D. a = 80.9 Lesson Quiz for Student Response Systems

2-7 Solving Equations with Rational Numbers 2. Solve. c + = –11 A. c = 12C. c = 11 B. c = –12D. c = 11 Lesson Quiz for Student Response Systems

2-7 Solving Equations with Rational Numbers 3. Solve. 8e = A. e = 8C. e = B. e = 5D. e = Lesson Quiz for Student Response Systems

2-7 Solving Equations with Rational Numbers 4. Solve. = 3 A. h = 9C. h = 11 B. h = 10D. h = 12 Lesson Quiz for Student Response Systems h3h3 5656