1. Then/Now You expressed algebraic expressions verbally. (Lesson 1–1) Evaluate numerical expressions by using the order of operations. Evaluate algebraic expressions by using the order of operations.

2. Vocabulary evaluate order of operations

3. Example 1 Evaluate Expressions Evaluate 2 6.

4. A.A B.B C.C D.D Example 1 Evaluate 4 4.

5. KC

6. Example 2 Use Order of Operations Evaluate 48 ÷ 2 3 ● 3 + 5.

7. A.A B.B C.C D.D Example 2 Evaluate [(9 2 – 9) ÷ 12]5.

8. Example 3 Expressions with Grouping Symbols A. Evaluate (8 – 3) ● 3(3 + 2).

9. Example 3 Expressions with Grouping Symbols B. Evaluate 4[12 ÷ (6 – 2)] 2.

10. Example 3 Expressions with Grouping Symbols C.

11. A.A B.B C.C D.D Example 3 A. Evaluate the expression 2(4 + 7) ● (9 – 5).

12. A.A B.B C.C D.D Example 3 B. Evaluate the expression 3[5 – 2 ● 2] 2.

13. A.A B.B C.C D.D Example 3 C.

14. Example 4 Evaluate an Algebraic Expression Evaluate 2(x 2 – y) + z 2 if x = 4, y = 3, and z = 2.

15. A.A B.B C.C D.D Example 4 Evaluate x 3 – y 2 + z, if x = 3, y = 2, and z = 5.

16. 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.

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

18. Example 5 Write and Evaluate an Expression B. Find the area of one side of the Great Pyramid.

19. A.A B.B C.C D.D Example 5 Find the area of a triangle with a base of 123 feet and a height of 62 feet.