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5-Minute Check 4

A B C D. 1. Write a numerical expression for thirteen more than eight. A. 13 × 8 B. 8 + 13 C. 13 > 8 D. 13 – 8. A. B. C. D. 3. 5-Minute Check 4. Splash Screen. You have already written numerical expressions. (Lesson 1–1). Translate verbal phrases into algebraic expressions.

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5-Minute Check 4

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  1. A B C D 1. Write a numerical expression for thirteen more than eight. A. 13 × 8 B. 8 + 13 C. 13 > 8 D. 13 – 8 A. B. C. D.3 5-Minute Check 4

  2. Splash Screen

  3. You have already written numerical expressions. (Lesson 1–1) • Translate verbal phrases into algebraic expressions. • Evaluate expressions containing variables. Then/Now

  4. variable • algebraic expression • defining a variable Vocabulary

  5. Translate Phrases into Algebraic Expressions A.Translate the phrase 35 more than the number of tickets sold into an algebraic expression. Do we know the number of tickets sold? Answer: The expression is t + 35. Example 1A

  6. Translate Phrases into Algebraic Expressions B.Translate the phrase the difference of six times a number and 10 into an algebraic expression. What do we do about “a number”? Answer: The expression is 6n – 10. Example 1B

  7. A B C D A.Translate the phrase eight less than the number of cookies baked into an algebraic expression. A.c – 8 B. 8 – c C. –8 – c D. –c – 8 Example 1A

  8. A B C D B.Translate the phrase the sum of twelve and five times a number into an algebraic expression. A. 12(5 + n) B. 12 + 5 + n C. 12 + 5n D. 17n Example 1B

  9. Concept

  10. Evaluate Expressions Evaluate x – y + 6 if x = 27 and y = 12. x – y + 6 = 27 – 12 + 6 Replace x with 27 and y with 12. = 15 + 6 Subtract 12 from 27. = 21 Add 15 and 6. Answer: 21 Example 2

  11. A B C D Evaluate 12 + a – b if a = 7 and b = 11. A. 30 B. 16 C. 8 D. 20 Example 2

  12. Evaluate Expressions A.Evaluate 6y – 4x if x = 3, y = 4, and z = 7. 6y – 4x = 6(4) – 4(3) Replace y with 4 and x with 3. = 24 – 12 Multiply. = 12 Subtract. Answer: 12 Example 3A

  13. B.Evaluate if x = 3, y = 4, and z = 7. Rewrite as a division expression. Replace z with 7, x with 3, and y with 4. Subtract. Divide. Evaluate Expressions Answer: 1 Example 3B

  14. Evaluate Expressions C.Evaluate 5z + (x + 4y) – 15 if x = 3, y = 4, and z = 7. 5z + (x + 4y) – 15 = 5(7) + (3 + 4 ● 4) – 15 Replace z with 7, x with 3, and y with 4. = 5(7) + (3 + 16) – 15Multiply 4 and 4. = 5(7) + 19 – 15Add 3 and 16. Example 3C

  15. Evaluate Expressions = 35 + 19 – 15 Multiply 5 and 7. = 54 – 15Add 35 and 19. = 39Subtract 15 from 54. Answer: 39 Example 3C

  16. A B C D A.Evaluate if m = 9, n = 4, and p = 6. A.4 B. C. D.6 Example 3B

  17. A B C D B.Evaluate p + (8n – 3m) if m = 9, n = 4, and p = 6. A. 23 B. 15 C. 14 D. 11 Example 3C

  18. Use Expressions to Solve Problems A. THEATEREast Middle School sold tickets for a school play. The price of an adult ticket was $3, and the price of a student ticket was $1. Write an expression that represents the total amount of money collected. Example 4A

  19. Use Expressions to Solve Problems Answer: The expression 3a + 1s can be used to find the total amount of money collected. Example 4A

  20. Replace a with 70 and s with 85. Multiply. Add. Use Expressions to Solve Problems B.THEATEREast Middle School sold tickets for a school play. The price of an adult ticket was $3 and the price of a student ticket was $1. Suppose 70 adult tickets and 85 student tickets were sold. How much money was collected? Answer: The amount of money collected was $295. Example 4B

  21. A B C D A.RETAIL The Read It Bookstore is advertising a sale. The price of hardback books is $9.50 and the price of paperback books is $4.50. Write an expression that can be used to find the total amount of money spent at the bookstore. A. 9.5 + 4.5 B. (9.5 + 4.5)hp C.h + p D. 9.5h + 4.5p Example 4A

  22. A B C D B.RETAIL The Read It Bookstore is advertising a sale. The price of hardback books is $9.50 and the price of paperback books is $4.50. Suppose Emily buys 5 hardback books and 4 paperback books. Find the total amount she spent at the book sale. A. $85.50 B. $65.50 C. $60.50 D. $126.00 Example 4B

  23. End of the Lesson

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