1. Unit 2 – Week 4 Reasoning with Linear Equations and Inequalities Lesson 4 Students will apply the properties of equality to solve multi-step linear equations: starting from the assumption that the original equation has a solution. Students explain each step by following the properties of equality.

2. Standards A.REI.1 – Using algebraic properties and the properties of real numbers, justify the steps of a simple one-solution equation. A.REI.3 – Solve linear equations in one variable including equations with coefficients represented by letters.

3. Essential Questions What are properties of equality? How are the properties of equality used to solve equations?

4. Vocabulary Words Properties of Equality: Rules that allow you to balance, manipulate and solve equations

5. Read, Write, Draw, Solve Haley is working with the equation x + 4 = 3x + 2. She wants to know that if she adds the expression x + 2 to both sides of the equation will this change the solution set. Show how Haley is right or wrong in her thinking.

6. Activator Solve the following equation and record your thinking as you perform each step. 5x + 9 = 2x – 36 What does your solution mean?

7. Complete the Table EquationSteps 4x – 15 = 17 – 4xOriginal Equation

8. Complete the Table EquationSteps 3x – 2x = -4x + 4 Original Equation

9. Complete the Table EquationSteps 4t – 5t + 9 = 5t – 9Original Equation

10. Complete the Table EquationSteps 53a – 55 = 42aOriginal Equation

11. Complete the Table EquationSteps 3(2x – 4) = 6(x – 2)Original Equation

12. Complete the Table EquationSteps 8(3x + 2) = 2(12x – 5)Original Equation

13. Complete the Table EquationSteps 8a – 15 – 6a = 85 – 3a

14. Complete the Table EquationSteps 3m – 5m – 12 = 73 – 88 – 50Original Equation

15. Complete the Table EquationSteps 7 – 8x = 7(1 + 7x)

16. Complete the Table EquationSteps

17. Summarizer Solve for x in the equation -5(-5x – 6) = -22 – x Explain what this solution means.