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Example 1: Write a Verbal Expression Five-Minute Check CCSS Then/Now New Vocabulary Example 1: Write a Verbal Expression Key Concept: Translating Verbal to Algebraic Expressions Example 2: Write Algebraic Expressions Example 3: Real-World Example: Write an Expression Lesson Menu

Find the sum of 2.19 + 18.35. A. 19.44 B. 20.44 C. 20.54 D. 21.54 5-Minute Check 1

A. B. C. D. 5-Minute Check 2

Find the quotient of 84 ÷ 6. A. 16 B. 15.3 C. 15 D. 14 5-Minute Check 3

A. B. C. D. 5-Minute Check 4

Find the perimeter of the figure. A. 2.9 m B. 2.5 m C. 1.8 m D. 1.45 m 5-Minute Check 5

Find the mean of the following set of data B. 17.6 C. 18 D. 20 5-Minute Check 6

Mathematical Practices 4 Model with mathematics. Content Standards A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients. A.SSE.2 Use the structure of an expression to identify ways to rewrite it. Mathematical Practices 4 Model with mathematics. Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. CCSS

You performed operations on integers. Write verbal expressions for algebraic expressions. Write algebraic expressions for verbal expressions. Then/Now

Variable – symbols used to represent unspecified numbers and values algebraic expression – consists of sums and/or products of numbers and variables Variable – symbols used to represent unspecified numbers and values Term – a number, a variable, or a product or quotient of numbers and variables (examples: 0.10d, 2x + 4, 3 + z/6, pq 4cd ÷ 3mn) 2x + 4 terms that contain a variable are called variable terms and a term that does not have a variable are called constant terms Vocabulary

Factor – quantities being multiplied Product – result of multiplication. A raised dot or parentheses are often used to indicate a product Power – an expression line xn Exponent – indicates the number of times the base is used as a factor Base – the number that is being multiplied

A. Write a verbal expression for 8x2. Write Verbal Expressions A. Write a verbal expression for 8x2. Answer: eight times x squared Example 1

B. Write a verbal expression for y5 – 16y. Write Verbal Expressions B. Write a verbal expression for y5 – 16y. Answer: the difference of y to the fifth power and 16 times y Example 1

Write a verbal expression for each algebraic expression three times x to the fourth power 2) 5z2 + 16 5 times z to the second power plus sixteen 3) 16u2 – 3 16 times u squared minus 3 4) ½ a + 6b/7 One half of a plus the quotient of 6 times b and 7

A. Write a verbal expression for 7a4. A. 7 times a B. 7 times the product of 4 and a C. 7 times a to the fourth power D. 4 times a to the seventh power Example 1

B. Write a verbal expression for x2 + 3. A. the sum of 3 and x B. the product of x squared and 3 C. the sum of x and 3 squared D. the sum of x squared and 3 Example 1

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A. Write an algebraic expression for 5 less than a number c. Write Algebraic Expressions A. Write an algebraic expression for 5 less than a number c. The words less than suggest subtraction. a number c less five c – 5 Answer: Thus, the algebraic expression is c – 5. Example 2

B. Write an algebraic expression for 9 plus the product of 2 and d. Write Algebraic Expressions B. Write an algebraic expression for 9 plus the product of 2 and d. Plus implies add, and product implies multiply. Answer: The expression can be written as 9 + 2d. Example 2

C. Write an algebraic expression for two fifths of the area a. Write Algebraic Expressions C. Write an algebraic expression for two fifths of the area a. The word of implies multiply. Example 2

Write an algebraic expression for each verbal expression A number t more than 6 t + 6 2) 10 less than the product of 7 and f 7f – 10 3) Two thirds of the volume v 2/3v This expression can also be written 2v/3

A. Write an algebraic expression for nine more than a number h. A. 9 – h B. 9h C. 9 + h D. h – 9 Example 2

B. Write an algebraic expression for the difference of 6 and 4 times a number x. A. 6 – 4x B. (6 – 4) + x C. 6 + 4x D. 6x – 4 Example 2

C. Write an algebraic expression for one half the size of the original perimeter p. A. 2p B. C. p2 D. p Example 2

Answer: The cost of the tickets is represented by 2a + 3c. Write an Expression ENTERTAINMENT Mr. Nehru bought two adult tickets and three student tickets for the planetarium show. Write an algebraic expression that represents the cost of the tickets. Let a be the cost of each adult ticket and c be the cost of each student ticket. The cost of the adult tickets is represented by 2a and the cost of the student tickets is represented by 3c. Answer: The cost of the tickets is represented by 2a + 3c. Example 3

Mr. Martinez orders 250 key chains printed with is athletic team’s logo and 500 pencils printed with their Web address. Write an algebraic expression that represents the cost of the order. Let k be the cost of each key chain and p be the cost of each pencil. Then the cost of the key chains is 250k and the cost of the pencils is 500p. The cost of the order is represented by 250k + 500p

Katie estimates that 1/8 of the people who order beverages also order pastries. Write an algebraic expression to represent this situation. 1/8b + b

MONEY Lorenzo bought a bag of peanuts that cost p dollars and he gave the cashier a $20 bill. Write an expression for the amount of change that he will receive. A. 20 – p B. p – 20 C. 20 + p D. 20  p Example 3

Review of Lesson Write a verbal expression for each algebraic expression 2/3r4 Two thirds of r to the fourth power 2) a2 – 18b A squared minus 18 times b 3) 2m Two times m

Write an algebraic expression for each verbal expression. The sum of a number and 14 n + 14 2) 6 less a number n – 6 3) 1 minus the quotient of r and 7 1 – r/7 4) Two fifths of the square of a number j 2/5j2

5) Mr. Bailey purchased some groceries that cost d dollars 5) Mr. Bailey purchased some groceries that cost d dollars. He paid with a $50 bill. Write an expression for the amount of change he will receive. 50 – d 6) Jocelyn makes x dollars per hour working at the grocery store and n dollars per hour babysitting. Write an expression that describes her earnings if she babysat for 25 hours and worked at the grocery store for 15 hours. 25n + 15x

End of the Lesson