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

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

Splash Screen

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

Vocabulary variable algebraic expression defining a variable

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

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

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

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

Concept

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

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

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

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

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

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

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

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

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

Example 4B Use Expressions to Solve Problems B. THEATER East 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. Replace a with 70 and s with 85. Multiply. Add.

A.A B.B C.C D.D Example 4A A B.( )hp C.h + p D.9.5h + 4.5p 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.A B.B C.C D.D Example 4B A.$85.50 B.$65.50 C.$60.50 D.$ 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.

End of the Lesson