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# Lesson 9.8 (word problems)

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### Lesson 9.8 (word problems)

2. 2. 9.8 Using Equations to Solve Application Problems Objectives 1. Translate word phrases into expressions with variables. 2. Translate sentences into equations. 3. Solve application problems. Copyright © 2010 Pearson Education, Inc. All rights reserved. Slide 9.8- 2
3. 3. ParallelExample 1 Translating Word Phrases into Expressions with Variables Write each word phrase in symbols, using x as the variable. Words Algebraic Expression A number plus nine x + 9 or 9 + x 7 more than a number x + 7 or 7 + x −12 added to a number −12 + x or x + (−12) 3 less than a number x–3 A number decreased by 1 x–1 14 minus a number 14 – x Copyright © 2010 Pearson Education, Inc. All rights reserved. Slide 9.8- 3
4. 4. ParallelExample 2 Translating Word Phrases into Expressions with Variables Write each word phrase in symbols, using x as the variable. Words Algebraic Expression 3 times a number 3x Twice a number 2x The quotient of 8 and a 8 number x A number divided by 15 x 15 The result is = Copyright © 2010 Pearson Education, Inc. All rights reserved. Slide 9.8- 4
5. 5. ParallelExample 2 Translating a Sentence into an EquationIf 8 times a number is added to 13, the result is 45.Find the number.Let x represent the unknown number. 8 times a number added to 13 is 45 8x + 13 = 45 Next, solve the equation. Check: 8x + 13 − 13 = 45 − 13 8x + 13 = 45 8x = 32 8(4) + 13 = 45 8 x 32 = 45 = 45 8 8 x=4 The solution is 4. Copyright © 2010 Pearson Education, Inc. All rights reserved. Slide 9.8- 5