1. Splash Screen

2. Lesson Menu Five-Minute Check Then/Now New Vocabulary Key Concept: Order of Operations Example 1:Evaluate Algebraic Expressions Example 2:Evaluate Algebraic Expressions Example 3:Real-World Example: Use a Formula

3. A.A B.B C.C D.D 5-Minute Check 1 A.3 B.9 C.27 D.729 Evaluate (12 – 9) 3.

4. A.A B.B C.C D.D 5-Minute Check 2 A.7n + 20 B.10n + 5 C.11n D.11n + 20 Simplify 5(4 + n) + 6n.

5. A.A B.B C.C D.D 5-Minute Check 3 A. B. C. D.

6. A.A B.B C.C D.D 5-Minute Check 4 A.250 cm 2 B.225 cm 2 C.120 cm 2 D.60 cm 2 What is the area of a square with sides of 15 centimeters?

7. A.A B.B C.C D.D 5-Minute Check 5 A.4x 2 B.4x C.2x 2 D.2x Which expression represents the area of a rectangle with length 2x and width x?

8. A.A B.B C.C D.D 5-Minute Check 6 A.$575 B.$625 C.$700 D.$750 Chairs for a wedding can be rented at the costs shown in the table. Based on the pattern in the table, what is the cost to rent 250 chairs?

9. Then/Now You used the rules of exponents. (Lesson 0–3) Use the order of operations to evaluate expressions. Use formulas.

10. Vocabulary variables algebraic expressions order of operations formula

11. Concept

12. Example 1 Evaluate Algebraic Expressions Evaluate (x – y) 3 + 3 if x = 1 and y = 4. (x – y) 3 + 3=(1 – 4) 3 + 3x = 1 and y = 4 = (–3) 3 + 3Subtract 4 from 1. =–27 + 3Evaluate (–3) 3. =–24Add –27 and 3. Answer: –24

13. A.A B.B C.C D.D Example 1 A.3 B.4 C.6 D.–3 Evaluate f + g 2 – 3g if f = 5 and g = 2.

14. Example 2 Evaluate Algebraic Expressions A. Evaluate n – t(n 2 – t) if n = 2 and t = 3.4. n – t(n 2 – t)=2 – 3.4(2 2 – 3.4)n = 2 and t = 3.4 =2 – 3.4(4 – 3.4)Evaluate 2 2. =2 – 3.4(0.6)Subtract 3.4 from 4. =2 – 2.04Multiply 3.4 and 0.6. =–0.04Subtract 2.04 from 2. Answer: –0.04

15. Example 2 Evaluate Algebraic Expressions x = 5, y = –2, and z = –1 Answer:–9 Evaluate the numerator and the denominator separately. Multiply in the numerator. Simplify the numerator and the denominator. Then simplify the fraction. B.

16. A.A B.B C.C D.D Example 2a A.0 B.12 C.24 D.28 A. Evaluate a + b 2 (a – b) if a = 4 and b = –2.

17. A.A B.B C.C D.D Example 2b A.–1 B.–3 C.3 D.4 B.

18. Example 3 Use a Formula

19. Example 3 Use a Formula Answer: The area of the trapezoid is 152 square meters.

20. A.A B.B C.C D.D Example 3 A.450 cm 3 B.75 cm 3 C.50 cm 3 D.10 cm 3

21. End of the Lesson