1. Splash Screen

2. Then/Now You expressed algebraic expressions verbally. Evaluate numerical expressions by using the order of operations. Evaluate algebraic expressions by using the order of operations.

3. Vocabulary evaluate order of operations

4. Example 1 Evaluate Expressions Evaluate 2 6. 2 6 = 2 ● 2 ● 2 ● 2 ● 2 ● 2 Use 2 as a factor 6 times. = 64Multiply. Answer: 64

5. Example 1 A.64 B.128 C.192 D.256 Evaluate 4 4.

6. KC

7. Example 2 Use Order of Operations Evaluate 48 ÷ 2 3 ● 3 + 5. 48 ÷ 2 3 ● 3 + 5= 48 ÷ 8 ● 3 + 5Evaluate powers. = 6 ● 3 + 5Divide 48 by 8. = 18 + 5Multiply 6 and 3. = 23Add 18 and 5. Answer: 23

8. Example 2 A.6 B.15 C.30 D.45 Evaluate [(9 2 – 9) ÷ 12]5.

9. Example 3 Expressions with Grouping Symbols A. Evaluate (8 – 3) ● 3(3 + 2). (8 – 3) ● 3(3 + 2)=5 ● 3(5)Evaluate inside parentheses. =5 ● 15Multiply 3 by 5. =75Multiply 5 by 15. Answer: 75

10. Example 3 Expressions with Grouping Symbols B. Evaluate 4[12 ÷ (6 – 2)] 2. 4[12 ÷ (6 – 2)] 2 = 4(12 ÷ 4) 2 Evaluate innermost expression first. = 4(3) 2 Evaluate expression in grouping symbol. = 4(9)Evaluate power. = 36Multiply. Answer: 36

11. Example 3 Expressions with Grouping Symbols Evaluate the power in the numerator. C. Multiply 6 and 2 in the numerator. Subtract 32 and 12 in the numerator.

12. Example 3 Expressions with Grouping Symbols Evaluate the power in the denominator. Multiply 5 and 3 in the denominator. Subtract from left to right in the denominator. Answer: 2

13. Example 3 A.–60 B.66 C.88 D.68 A. Evaluate the expression 2(4 + 7) ● (9 – 5).

14. Example 3 A.9 B.18 C.108 D.3 B. Evaluate the expression 3[5 – 2 ● 2] 2.

15. Example 3 C. A.1 B. C.4 D.

16. Example 4 Evaluate an Algebraic Expression Evaluate 2(x 2 – y) + z 2 if x = 4, y = 3, and z = 2. 2(x 2 – y) +z 2 = 2(4 2 – 3) + 2 2 Replace x with 4, y with 3 and z with 2. = 2(16 – 3) + 2 2 Evaluate 4 2. = 2(13) + 2 2 Subtract 3 from 16. = 2(13) + 4Evaluate 2 2. = 26 + 4Multiply 2 and 13. = 30Add. Answer: 30

17. Example 4 A.6 B.28 C.36 D.10 Evaluate x 3 – y 2 + z, if x = 3, y = 2, and z = 5.

18. Example 5 Write and Evaluate an Expression ARCHITECTURE Each side of the Great Pyramid at Giza, Egypt, is a triangle. The base of each triangle once measured 230 meters. The height of each triangle once measured 187 meters. The area of a triangle is one-half the product of the base b and its height h.

19. Example 5 Write and Evaluate an Expression A. Write an expression that represents the area of one side of the Great Pyramid.

20. Example 5 Write and Evaluate an Expression B. Find the area of one side of the Great Pyramid. Replace b with 230 and h with 187. Multiply 230 by 187. Multiply by 43,010. Answer: The area of one side of the Great Pyramid is 21,505 m 2.

21. Example 5 A.3813 ft 2 B.7626 ft 2 C.15,252 ft 2 D.32 ft 2 Find the area of a triangle with a base of 123 feet and a height of 62 feet.

22. End of the Lesson