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m + 4.6 = 9

x 1.2. = 15. – 4.6. =. – 4.6. =. 4.4. m. x 1.2. = 1.2 • 15. 1.2 •. Solving Equations with Decimals. Solve:. m + 4.6 = 9. m + 4.6 = 9. Subtract 4.6 from both sides. Solve:. Multiply both sides by 1.2. x = 18. 5 7. n = –. 2 7. 27. 2 7. 3 7. 27.

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m + 4.6 = 9

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  1. x 1.2 = 15 – 4.6 = –4.6 = 4.4 m x 1.2 = 1.2 •15 1.2 • Solving Equations with Decimals. Solve: m + 4.6 = 9 m + 4.6 = 9 Subtract 4.6 from both sides. Solve: Multiply both sides by 1.2 x = 18

  2. 5 7 n = – 2 7 27 2 7 3 7 27 n – + = – – Subtract from both sides. Solving Equations with Fractions Solve: 3 7 2 7 n + = –

  3. 6 5 Multiply both sides by . 5 8 6 5 5 6 6 5 = • x • 3 4 = x Solving Equations with Fractions Solve: 5 8 5 6 x = 3 4 Simplify.

  4. Solving Word Problems Using Equations Mr. Rios wants to prepare a dessert, but only has 2 tablespoons of sugar. If each serving of the dessert has tablespoon of sugar, how many servings can he make for the party? 2 3 2 3 2 3 2 3 = 2  s Write an equation: Amount needed for each dessert Amount of sugar Total servings  =

  5. 3 2 2 3 2 3 s = 2  2 3 3 2 2 3 3 2 s Multiply both sides by .   = 2  8 3 3 2  = s 24 6 , or 4 s = Now solve the equation: Simplify. Mr. Rios can make 4 servings.

  6. Problem Solving Application The mechanic’s bill to repair Mr. Wong’s car was $650. The mechanic charges $45 an hour for labor, and the parts that were used cost $443. How many hours did the mechanic work on the car?

  7. Step #1 1 Understand the Problem List the important information: The answer is the number of hours the mechanic worked on the car. • The parts cost $443. • The labor cost $45 per hour. • The total bill was $650. Let h represent the hours the mechanic worked. Total bill = Parts + Labor 650 = 443 + 45h

  8. Step #2 Make a Plan 2 Think:First the variable is multiplied by 45, and then 443 is added to the result. Work backward to solve the equation. Undo the operations in reverse order: First subtract 443 from both sides of the equation, and then divide both sides of the new equation by 45.

  9. Step #3 3 Solve 207 45h = 4545 650 = 443 + 45h –443–443Subtract to undo the addition. 207 = 45h Divide to undo multiplication. 4.6 = h The mechanic worked for 4.6 hours on Mr. Wong’s car.

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