1. Solve each inequality. Check your solution. 1. –3x ≥ 9 2. 3. 20k > 300 Solve each inequality. Graph the solution set on a number line. 4. 4p + 3 ≤ –1 5. 6. Javier earns $1.50 for every magazine subscription he sells. He needs $35 to go on a trip with the travel club. Write an inequality to show the number of subscriptions he needs to sell to achieve his goal? Course 2, Lesson 6-8

2. ANSWERS 1. x ≤ –3 2. y < 30 3. k > 15 4. p ≤ –1 5. n > 6 6. 1.5x ≥ 35

3. WHAT does it mean to say two quantities are equal? Expressions and Equations Course 2, Lesson 6-8

4. 7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. 7.EE.4b Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. Course 2, Lesson 6-8 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. Expressions and Equations

5. Mathematical Practices 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively. 3 Construct viable arguments and critique the reasoning of others. 4 Model with mathematics. 5 Use appropriate tools strategically. Course 2, Lesson 6-8 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. Expressions and Equations

6. To solve two-step inequalities Course 2, Lesson 6-8 Expressions and Equations

7. Course 2, Lesson 6-8 Expressions and Equations two-step inequality

8. How did what you learned today help you answer the WHAT does it mean to say two quantities are equal? Course 2 Lesson 6-8 Expressions and Equations

9. How did what you learned today help you answer the WHAT does it mean to say two quantities are equal? Course 2 Lesson 6-8 Expressions and Equations Sample answer: To solve two-step inequalities by applying the properties of inequality

10. Write about the similarities and differences between solving two-step equations and two-step inequalities. Ratios and Proportional RelationshipsExpressions and Equations Course 2 Lesson 6-8