1. Lesson 2 MI/Vocab order of operations Evaluate numerical expressions by using the order of operations. Evaluate algebraic expressions by using the order of operations.

2. Lesson 2 TEKS A.3 The student understands how algebra can be used to express generalizations and recognizes and uses the power of symbols to represent situations. (A) Use symbols to represent unknowns and variables.

3. Lesson 2 KC1

4. Lesson 2 Ex1 Evaluate Expressions 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

5. A.A B.B C.C D.D Lesson 2 CYP1 A.7 B.–39 C.–33 D.1 Evaluate the expression 3 + 6 2 ÷ 4 – 5.

6. Lesson 2 Ex2 Grouping Symbols A. Evaluate (8 – 3) ● 3(3 + 2). (8 – 3) ● 3(3 + 2)=5 ● 3(5)Evaluate inside group symbols. =15(5)Multiply. =75Multiply. Answer: 75

7. Lesson 2 Ex2 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

8. Lesson 2 Ex2 Grouping Symbols Evaluate the power in the numerator. C. Multiply 6 and 2 in the numerator. Subtract 32 and 12 in the numerator.

9. Lesson 2 Ex2 Grouping Symbols Evaluate the power in the denominator. Multiply 5 and 3 in the denominator.

10. Lesson 2 CYP2 1.A 2.B 3.C 4.D A.–60 B.66 C.88 D.68 A. Evaluate the expression 2(4 + 7) ● (9 – 5).

11. Lesson 2 CYP2 1.A 2.B 3.C 4.D A.9 B.18 C.108 D.3 B. Evaluate the expression 3[5 – 2 ● 2] 2.

12. Lesson 2 CYP2 1.A 2.B 3.C 4.D C. A.1 B. C.4 D.

13. Lesson 2 Ex3 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

14. 1.A 2.B 3.C 4.D Lesson 2 CYP3 A.6 B.28 C.36 D.10 Evaluate x 3 – y 2 + z, if x = 3, y = 2, and z = 5.

15. Lesson 2 Ex4 ARCHITECTURE Each of the four sides of the Great Pyramid at Giza, Egypt, is a triangle. The base of each triangle originally measured 230 meters. The height of each triangle originally measured 187 meters. The area of a triangle is one-half the product of the length of the base b and the height h. A. Write an expression that represents the area of one side of the Great Pyramid.

16. Lesson 2 Ex4 Wordsone half of the product of length of base and height Variablesb = base; h = height Equation×b ● h

17. Lesson 2 Ex4 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. Divide 43,010 by 2.

18. Lesson 2 Ex4 Answer: The area of one side of the Great Pyramid is 21,505 m 2.

19. A.A B.B C.C D.D Lesson 2 CYP4 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.