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Example 1: Translate Phrases into Expressions Five-Minute Check Then/Now New Vocabulary Example 1: Translate Phrases into Expressions Key Concept: Order of Operations Example 2: Evaluate Expressions Example 3: Real-World Example: Write Expressions to Solve Problems Lesson Menu

Find the value of the expression 1.8 + 0.6. B. 2.4 C. 2.2 D. 1.4 5-Minute Check 1

Find the value of the expression 85.24 + 12.8. B. 97.32 C. 97.04 D. 86.52 5-Minute Check 2

Find the value of the expression 114 – 2.9. B. 112.1 C. 111.1 D. 110.1 5-Minute Check 3

Find the value of the expression 8 × 47. B. 326 C. 372 D. 376 5-Minute Check 4

Find the value of the expression 72 ÷ 4. B. 17 C. 18 D. 19 5-Minute Check 5

Cayce and Grantland each are reading the same 528-page book Cayce and Grantland each are reading the same 528-page book. Cayce reads 16 pages a day while Grantland reads 22 pages. If the boys begin the book the same day, how much faster will Grantland finish reading the book? A. 6 days B. 7 days C. 8 days D. 9 days 5-Minute Check 6

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

numerical expression evaluate order of operations Vocabulary

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

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. Phrase the sum of 9 and 4 Expression 9 + 4 Answer: 9 + 4 Example 1B

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

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

Key Concept

A. Evaluate the expression 17 + 36 ÷ 9. Evaluate Expressions A. Evaluate the expression 17 + 36 ÷ 9. 17 + 36 ÷ 9 = 17 + 4 Divide 36 by 9. = 21 Add 17 and 4. Answer: 21 Example 2A

B. Evaluate the expression 24 ÷ 8 × 3. Evaluate Expressions B. Evaluate the expression 24 ÷ 8 × 3. Divide 24 by 8. Multiply 3 and 3. Answer: 9 Example 2B

C. Evaluate the expression 5(4 + 6) – 7 ● 7. Evaluate Expressions C. Evaluate the expression 5(4 + 6) – 7 ● 7. Evaluate (4 + 6). 5(10) means 5 × 10. 7 ● 7 means 7 × 7. Subtract 49 from 50. Answer: 1 Example 2C

D. Evaluate the expression 3[(18 – 6) + 2(4)]. Evaluate Expressions D. Evaluate the expression 3[(18 – 6) + 2(4)]. Evaluate (18 – 6). Multiply 2 and 4. Add 12 and 8. Multiply 3 and 20. Answer: 60 Example 2D

E. Evaluate the expression Evaluate Expressions E. Evaluate the expression Rewrite as a division expression. Evaluate (49 + 31) and (19 – 14). Divide 80 by 5. Answer: 16 Example 2E

A. Evaluate the expression 36 + 12 ÷ 3. B. 9 C. 16 D. 40 Example 2A

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

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

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

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

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. Understand You 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. Example 3

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

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

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

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. 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 Example 3

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