2. Welcome to Interactive Chalkboard Pre-Algebra Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Send all inquiries to: GLENCOE DIVISION Glencoe/McGraw-Hill 8787 Orion Place Columbus, Ohio 43240

3. Splash Screen California Edition

4. Contents Lesson 7-1Solving Equations with Variables on Each Side Lesson 7-2Solving Equations with Grouping Symbols Lesson 7-3Inequalities Lesson 7-4Solving Inequalities by Adding or Subtracting Lesson 7-5Solving Inequalities by Multiplying or Dividing Lesson 7-6Solving Multi–Step Inequalities

5. Lesson 5 Contents Example 1Multiply or Divide by a Positive Number Example 2Write an Inequality Example 3Multiply or Divide by a Negative Number CA Standard 7AF1.1 Use variables and appropriate operations to write an expression, an equation, an inequality, or a system of equations or inequalities that represents a verbal description (e.g., three less than a number, half as large as area A). (CAHSEE)

6. Example 5-1a Solve. Check your solution. Divide each side by 9. Simplify. Write the inequality. Answer: The solution is. You can check this solution by substituting 6 or a number less than 6 into the inequality.

7. Answer: The solution is. You can check this solution by substituting a number greater than 36 into the inequality. Example 5-1a Solve. Check your solution. Write the inequality. Multiply each side by 9. Simplify.

8. Example 5-1b a.Solve. Check your solution. b.Solve. Check your solution. Answer:

9. Multiple-Choice Test Item Martha earns $9 per hour working for a fast-food restaurant. Which inequality can be used to find how many hours she must work in a week to earn at least $243? ABCD Example 5-2a Read the Test Item You are to write an inequality to represent a real-world problem. Solve the Test Item Let x represent the number of hours worked.

10. Example 5-2a Amount earned per hourtimes number of hours is at least amount earned each week. Answer: The answer is B.

11. Multiple-Choice Test Item Ed earns $6 per hour working at the library. Which inequality can be used to find how many hours he must work in a week to earn more than $100? ABCD Example 5-2b Answer: D

12. Example 5-3a Solve and check your solution. Then graph the solution on a number line. CheckYou can check your result by replacing x in the original inequality with a number less than –35. Answer: Check this result. Multiply each side by –5 and reverse the symbol. Write the inequality.

13. Example 5-3a Answer: Graph the solution,.

14. Example 5-3a Solve and check your solution. Then graph the solution on a number line. Write the inequality. Answer: Check this result. Divide each side by –9 and reverse the symbol.

15. Example 5-3a Graph the solution,. Answer:

16. Solve each inequality and check your solution. Then graph the solution on a number line. a. b. Example 5-3b Answer:

17. End of Lesson 5

18. Pre-Alg.com Explore online information about the information introduced in this chapter. Click on the Connect button to launch your browser and go to the Pre-Algebra Web site. At this site, you will find extra examples for each lesson in the Student Edition of your textbook. When you finish exploring, exit the browser program to return to this presentation. If you experience difficulty connecting to the Web site, manually launch your Web browser and go to www.pre-alg.com/extra_examples.

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