Course Algebraic Expressions Course Algebraic Expressions Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Course Algebraic Expressions Warm Up Evaluate each expression for the given values of the variables. Which operation symbol goes with each word?    4. Sum 5. Product 6. Quotient 7. Difference 1. 9y  13 for y = n + 2p for n = 2 and p = x  y for x = 1 and y = 2

Course Algebraic Expressions a number plus 5 add 5 to a number sum of a number and 5 5 more than a number a number increased by 5 a number minus 11 subtract 11 from a number difference of a number and less than a number a number decreased by 11 3 times a number 3 multiplied by a number product of 3 and a number a number divided by 7 7 divided into a number quotient of a number and 7 + –   Word Phrases Expression n + 5 x  11 3m3m or a  7 a 7

Course Algebraic Expressions Write an algebraic expression for each word phrase. Additional Examples 1: Translating Word Phrases into Math Expressions A. 9 less than a number w 9 less than a number w w – 9 B. 3 increased by the difference of p and 5 3 increased by the difference of p and (p – 5) 3 + p – 5

Course Algebraic Expressions Write an algebraic expression for each word phrase. Check It Out: Example 1 A. the sum of a number h and 88 minus 4 the sum of h and 88 minus 4 h + 88 – 4 B. the quotient of a number f and 6 quotient of f and 6 f  6 f 6

Course Algebraic Expressions Write a word phrase for the algebraic expression 9 – 3c. Additional Example 2: Translating Math Expressions into Word Phrases 9 – 3c 9 minus the product of 3 and c 9 minus the product of 3 and c.

Course Algebraic Expressions A restaurant leased its banquet hall for a function. The cost was $10 per person. Write an algebraic expression to evaluate what the cost would be if 20, 21, 22, or 23 people attended the function Additional Example 3: Writing and Evaluating Expressions in Word Problems $10 dollars nCombine n equal amounts of $10. $10nIn dollars 20 $10 20 $ $10 21 $ $10 22 $ $10 23 $230 n $10 n Cost Evaluate for n = 20, 21, 22, and 23.

Course Algebraic Expressions Gasoline costs $1.99 per n gallons. What will the cost be for 10, 12, 14, and 15 gallons? Check It Out: Example 3 $1.99 nCombine n equal amounts of $1.99. $1.99nIn dollars 10 $ $ $ $ $ $ $ $29.85 n $1.99 n Cost Evaluate for n = 10, 12, 14, and 15.

Course Algebraic Expressions Write a word problem that can be evaluated by the algebraic expression 27 + t, and evaluate the expression for t = Additional Example 4: Writing a Word Problem from a Math Expression Possible Answer: Amed bought a new sweater for $27 plus sales tax t. If the tax was $1.76, what was the total cost of the sweater? 27 + t = Substitute 1.76 for t. The total cost of the sweater was $28.76.

Course Algebraic Expressions Lesson Quiz Write an algebraic expression for each word phrase less than a number k 2. a number x divided by times the sum of n and 5 Write an algebraic expression to evaluate the word problem. 4. Karen buys n raffle tickets for $0.50 each. If she buys 13 of them, how much will they cost? k – 5 4(n + 5) 0.50n; $6.50 x 11