1. Lesson Menu Five-Minute Check (over Lesson 1–3) CCSS Then/Now New Vocabulary Key Concept: Absolute Value Example 1:Evaluate an Expression with Absolute Value Example 2:Real-World Example: Solve an Absolute Value Equation Example 3:No Solution Example 4:One Solution

2. CCSS Content Standards A.SSE.1.b Interpret complicated expressions by viewing one or more of their parts as a single entity. A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Mathematical Practices 6 Attend to precision.

3. Then/Now You solved equations using properties of equality. Evaluate expressions involving absolute values. Solve absolute value equations.

4. Vocabulary absolute value empty set constraint extraneous solution

5. Concept

6. Example 1 Evaluate an Expression with Absolute Value Answer: 4.7 Replace x with 4. Multiply 2 and 4 first. Subtract 8 from 6. Add.

7. Example 1 A.18.3 B.1.7 C.–1.7 D.–13.7

8. Example 2 Solve an Absolute Value Equation Case 1a=b y + 3=8 y + 3 – 3=8 – 3 y=5y=5 Answer: The solutions are 5 and –11. Thus, the solution set is  –11, 5 . Check|y + 3|=8 Case 2a=–b y + 3=–8 y + 3 – 3=–8 – 3 y=–11 |y + 3|=8 ? |5 + 3|=8 ? |8|=8 8=88=8 ? |–11 + 3|=8 ? |–8|=8 8=88=8

9. Example 2 A.{5} B.{–10, 5} C.{–5, 10} D.{–5} What is the solution to |2x + 5| = 15?

10. Example 3 No Solution Solve |6 – 4t| + 5 = 0. This sentence is never true. Answer: The solution set is . |6 – 4t| + 5=0Original equation |6 – 4t|=–5Subtract 5 from each side.

11. A. B. C. D. Example 3

12. Example 4 One Solution Case 1a=b 8 + y=2y – 3 8=y – 3 11=y

13. Example 4 One Solution Check: Answer:

14. A. B. C. D. Example 4