1. A.A B.B C.C D.D 5-Minute Check 1 A.2.6 B.2.4 C.2.2 D.1.4 Find the value of the expression 1.8 + 0.6. Find the value of the expression 72 ÷ 4. A.16 B.17 C.18 D.19

2. Splash Screen

3. Then/Now You have already performed mathematical operations. (Previous Course) Translate verbal phrases into numerical expressions. Use the order of operations to evaluate expressions.

4. Vocabulary numerical expression a mathematical statement that has numbers and mathematical symbols without an equal sign

5. Example 1A Translate Phrases into Expressions A. Write a numerical expression for the verbal phrase eighteen marbles divided equally among six friends. Phrasethe quotient of 18 and 6 Answer: 18 ÷ 6 Expression18 ÷ 6

6. Example 1B Translate Phrases into Expressions B. Write a numerical expression for the verbal phrase the total number of photos if there are nine photos in the camera plus four more. Phrasethe sum of 9 and 4 Answer: 9 + 4 Expression9 + 4

7. A.A B.B C.C D.D Example 1A A.5 ÷ 20 B.20 ÷ 5 C.4 ÷ 20 D.20 ÷ 4 A. Write a numerical expression for the verbal phrase twenty dollars divided equally among five brothers.

8. A.A B.B C.C D.D Example 1B A.8 + 5 B.8 + 13 C.5 + 13 D.13 – 5 B. Write a numerical expression for the verbal phrase the total number of DVDs if Sue has eight and gets five more.

9. Key Concept Another way to remember this is PEMDAS!!!

10. Example 2A Evaluate Expressions A. Evaluate the expression 17 + 36 ÷ 9. Answer:21 17 + 36 ÷ 9 = 17 + 4We Divided 36 and 9 21We Added 17 and 4

11. Example 2B Evaluate Expressions B. Evaluate the expression 24 ÷ 8 3. Answer:9 24 ÷ 8 3 = 3 3We divided 24 and 8 9We multiplied 3 and 3

12. Example 2C Evaluate Expressions C. Evaluate the expression 5(4 + 6) – 7 ● 7. Answer:1 5(4 + 6) – 7 7 5(10) – 7 7We added 4 and 6 50 – 7 7We multiplied 5 and 10 50 – 49We multiplied 7 and 7 1

13. Example 2D Evaluate Expressions D. Evaluate the expression 3[(18 – 6) + 2(4)]. Answer:60 3[(18 – 6) + 2(4)] 3[12 + 2(4)]We subtracted 18 – 6 3[12 + 8]We multiplied 2 and 4 3[20]We added 12 and 8 60We multiplied 3 and 20

14. Example 2E Evaluate Expressions Answer:16 E. Evaluate the expression Treat the top and the bottom like parenthesis We added 49 and 31 We subtracted 19 and 14 We divided 80 and 5

15. A.A B.B C.C D.D Example 2B A.7 B.10 C.8 D.11 B. Evaluate the expression 63 ÷ 7 + 2.

16. A.A B.B C.C D.D Example 2C A.13 B.20 C.33 D.10 C. Evaluate the expression 3(12 – 10) + 14 ÷ 2.

17. A.A B.B C.C D.D Example 2D A.16 B.12 C.144 D.36 D. Evaluate the expression 4[(3 + 8) – 2(4)].

18. A.A B.B C.C D.D Example 2E E. Evaluate the expression A. B. C. D.

19. Example 3 Write Expressions to Solve Problems EARNINGS Madison earns an allowance of $5 per week. She also earns $8 per hour babysitting, and usually babysits 6 hours each week. Write and evaluate an expression for the total amount of money she earns in one week. Then make a table showing what she will earn if she babysits 7, 8, and 9 hours a week. UnderstandYou know how much Madison earns for her allowance. You need to find how much she earns for babysitting if she babysits for 6, 7, 8, and 9 hours a week.

20. Example 3 Write Expressions to Solve Problems PlanWrite an expression to find the amount she earns from babysitting for each number of hours. Organize the results in a table. SolveFirst write an expression for babysitting 6 hours.

21. Example 3 Write Expressions to Solve Problems 5 + 8 × 6=5 + 48Multiply. =53Add. Answer: Madison will earn $53 in one week if she babysits for 6 hours. Make a table for 7, 8, and 9 hours.

22. Example 3 Write Expressions to Solve Problems CheckLook at the pattern in the earnings. As the number of hours increase by 1, the earnings increase by $8.

23. A.A B.B C.C D.D Example 3 A.1.50 + 8(1.20) = $11.10 B.1.50 + 7(1.20) = $9.90 C.2 + 1.50 + 1.20 + 8 = $12.70 D.1.20 + 7(1.50) = $11.70 SHOPPING The Good Price Grocery Store advertises a special on 2-liter bottles of soft drinks. The first bottle purchased is $1.50 and each bottle after that is $1.20. Write and evaluate an expression for the total cost when 8 bottles are purchased.

24. End of the Lesson