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Lesson Menu. Main Idea and New Vocabulary Example 1: Translate Phrases into Algebraic Expressions Example 2: Translate Phrases into Algebraic Expressions Example 3: Evaluate Algebraic Expressions Example 4: Evaluate Algebraic Expressions Example 5: Evaluate Algebraic Expressions

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  1. Lesson Menu Main Idea and New Vocabulary Example 1: Translate Phrases into AlgebraicExpressions Example 2: Translate Phrases into AlgebraicExpressions Example 3: Evaluate Algebraic Expressions Example 4: Evaluate Algebraic Expressions Example 5: Evaluate Algebraic Expressions Example 6: Real-World Example: UseExpressions to Solve Problems

  2. Translate verbal phrases into algebraic expressions. Evaluate algebraic expressions. • variable • algebra • algebraic expression • defining a variable Main Idea/Vocabulary

  3. Translate Phrases into Algebraic Expressions Translate seven dollars more than John has into an algebraic expression. Answer: 7 + d Example 1

  4. Translate nine more books than Maria has into an algebraic expression. A. 9b B. 9 + b C. 9 – b D. 9b + 1 Example 1 CYP

  5. Translate Phrases into Algebraic Expressions Translate Mrs. Ruiz had 50 pens and gave 2 to each of her students into an algebraic expression. Answer: 50 – 2s Example 2

  6. Translate Mark had 20 guitar picks and gave 3 to each of his friends into an algebraic expression. A. 20 + f B. 20 + 3f C. 20 – f D. 20 – 3f Example 2 CYP

  7. Evaluate Algebraic Expressions Evaluate(x – y) + 3 ● (–2) if x = –4 and y = 5. (x – y) + 3 ● (–2) = (–4 – 5) + 3 ● (–2) Replace x with –4 and y with 5. = –9 + 3 ● (–2) Perform operations in the parentheses first. = –9 + –6 or –15 Multiply 3 and –2. Then add. Answer: –15 Example 3

  8. Evaluate(x + y) + 2 ● (–4) if x = 3 and y = –6. A. –32 B. –11 C. –5 D. 4 Example 3 CYP

  9. Evaluate Algebraic Expressions Evaluate 3(a – b) ÷ 2 if a = 8 and b = 4. 3(a – b) ÷ 2 = 3(8 – 4) ÷ 2 Replace a with 8 and b with 4. = 3(4) ÷ 2 Perform operations in the parentheses first. = 12 ÷ 2 or 6 Multiply 3 and 4. Then divide. Answer: 6 Example 4

  10. Evaluate 5(a – b) ÷ 4 if a = 7 and b = 3. A. 4 B. 5 C. 6 D. 10 Example 4 CYP

  11. Evaluate if c = 2 and d = 6. Replace c with 2 and d with 6. Simplify. Evaluate the numerator and denominator. Then divide. Evaluate Algebraic Expressions Answer: 2 Example 5

  12. Evaluate if c = 9 and d = –6. A.–1 B. C.1 D. Example 5 CYP

  13. Use Expressions to Solve Problems KAYAKS River Rentals rents kayaks. They charge a $10 service charge plus $3 per hour. Write an expression that can be used to find the total cost to rent a kayak for any number of hours. Answer: The expression is 10 + 3h. Example 6

  14. KAYAKS River Rentals rents kayaks. They charge a $10 service charge plus $3 per hour. What is the total cost to rent a kayak for 3 hours? A. $13 B. $16 C. $19 D. $33 Example 6 CYP

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