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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

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)

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.

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.

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

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.

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

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

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.

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

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.

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

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

End of Lesson 5

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