1. Splash Screen

2. Lesson Menu Five-Minute Check (over Lesson 1–2) CCSS Then/Now New Vocabulary Example 1:Verbal to Algebraic Expression Example 2:Algebraic to Verbal Sentence Key Concept: Properties of Equality Example 3:Identify Properties of Equality Key Concept: Addition and Subtraction / Multiplication and Division Properties of Equality Example 4:Solve One-Step Equations Example 5:Solve a Multi-Step Equation Example 6:Solve for a Variable Example 7:Standardized Test Example

3. Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes (W), rationals (Q), reals (R) D.naturals (N), wholes (W), integers (Z), rationals (Q), reals (R)

4. Over Lesson 1–2 5-Minute Check 2 A.naturals (N), wholes (W) B.reals (R) C.rationals (Q), reals (R) D.integers (Z), reals (R)

5. Over Lesson 1–2 5-Minute Check 3 A.Associative Property of Addition B.Distributive Property C.Substitution Property D.Commutative Property of Addition Name the property illustrated by a + (7 + c) = (a + 7) + c.

6. Over Lesson 1–2 5-Minute Check 5 A.3c 2 + 5cd + c B.3c 2 + 11cd + c C.3c 2 + 10cd D.3c 2 + c Simplify (2c)(3d) + c + 5cd + 3c 2.

7. CCSS Content Standards A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Mathematical Practices 3 Construct viable arguments and critique the reasoning of others. 8 Look for and express regularity in repeated reasoning.

8. Then/Now You used properties of real numbers to evaluate expressions. Translate verbal expressions into algebraic expressions and equations, and vice versa. Solve equations using the properties of equality.

9. Vocabulary open sentence equation solution

10. Example 1 Verbal to Algebraic Expression A. Write an algebraic expression to represent the verbal expression 7 less than a number. Answer: n – 7

11. Example 1 Verbal to Algebraic Expression B. Write an algebraic expression to represent the verbal expression the square of a number decreased by the product of 5 and the number. Answer: x 2 – 5x

12. Example 1a A.6x B.x + 6 C.x 6 D.x – 6 A. Write an algebraic expression to represent the verbal expression 6 more than a number.

13. Example 1b A.x 3 – 2 B.2x 3 C.x 2 – 2 D.2 + x 3 B. Write an algebraic expression to represent the verbal expression 2 less than the cube of a number.

14. Example 2 Algebraic to Verbal Sentence A. Write a verbal sentence to represent 6 = –5 + x. Answer: Six is equal to –5 plus a number.

15. Example 2 Algebraic to Verbal Sentence B. Write a verbal sentence to represent 7y – 2 = 19. Answer: Seven times a number minus 2 is 19.

16. Example 2a A.The difference of a number and 3 is 7. B.The sum of a number and 3 is 7. C.The difference of 3 and a number is 7. D.The difference of a number and 7 is 3. A. What is a verbal sentence that represents the equation n – 3 = 7?

17. Example 2b A.Five is equal to the difference of 2 and a number. B.Five is equal to twice a number. C.Five is equal to the quotient of 2 and a number. D.Five is equal to the sum of 2 and a number. B. What is a verbal sentence that represents the equation 5 = 2 + x?

18. Concept

19. Example 3 Identify Properties of Equality A.Name the property illustrated by the statement. a – 2.03 = a – 2.03 Answer: Reflexive Property of Equality

20. Example 3 Identify Properties of Equality B.Name the property illustrated by the statement. If 9 = x, then x = 9. Answer: Symmetric Property of Equality

21. Example 3a A.Reflexive Property of Equality B.Symmetric Property of Equality C.Transitive Property of Equality D.Substitution Property of Equality A. What property is illustrated by the statement? If x + 4 = 3, then 3 = x + 4.

22. Example 3b A.Reflexive Property of Equality B.Symmetric Property of Equality C.Transitive Property of Equality D.Substitution Property of Equality B. What property is illustrated by the statement? If 3 = x and x = y, then 3 = y.

23. Concept

24. Example 4 Solve One-Step Equations A. Solve m – 5.48 = 0.02. Check your solution. m – 5.48=0.02Original equation m – 5.48 + 5.48=0.02 + 5.48Add 5.48 to each side. m=5.5Simplify. Checkm – 5.48=0.02Original equation Answer: The solution is 5.5. 0.02=0.02Simplify. 5.5 – 5.48=0.02Substitute 5.5 for m. ?

25. Example 4 Solve One-Step Equations Original equation Simplify.

26. Example 4 Solve One-Step Equations Answer: The solution is 36. Substitute 36 for t. Simplify. CheckOriginal equation ?

27. Example 4a A.–8 B.–2 C.2 D.8 A. What is the solution to the equation x + 5 = 3?

28. Example 4b B. What is the solution to the equation A.5 B. C.15 D.30

29. Example 5 Solve a Multi-Step Equation Solve 53 = 3(y – 2) – 2(3y – 1). 53=3(y – 2) – 2(3y – 1)Original equation 53=3y – 6 – 6y + 2Apply the Distributive Property. 53=–3y – 4Simplify the right side. 57=–3yAdd 4 to each side. –19=yDivide each side by –3. Answer: The solution is –19.

30. Example 5 What is the solution to 25 = 3(2x + 2) – 5(2x + 1)? A.–6 B. C. D.6

31. End of the Lesson

32. Over Lesson 1–2 Pages 22 – 23 #22 – 27, 36 – 42, 45 – 50