1. Course 3 1-2 Algebraic Expressions Course 1 1-2 Algebraic Expressions Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

2. Course 3 1-2 Algebraic Expressions Warm Up Evaluate each expression for the given values of the variables. Which operation symbol goes with each word? 23 18 1 +    4. Sum 5. Product 6. Quotient 7. Difference 1. 9y  13 for y = 4 2. 6n + 2p for n = 2 and p = 3 3. 3x  y for x = 1 and y = 2

3. Course 3 1-2 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 11 11 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

4. Course 3 1-2 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 5 3 + (p – 5) 3 + p – 5

5. Course 3 1-2 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

6. Course 3 1-2 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.

7. Course 3 1-2 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 $200 21 $10 21 $210 22 $10 22 $220 23 $10 23 $230 n $10 n Cost Evaluate for n = 20, 21, 22, and 23.

8. Course 3 1-2 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 $1.99 10 $19.90 12 $1.99 12 $23.88 14 $1.99 14 $27.86 15 $1.99 15 $29.85 n $1.99 n Cost Evaluate for n = 10, 12, 14, and 15.

9. Course 3 1-2 Algebraic Expressions Write a word problem that can be evaluated by the algebraic expression 27 + t, and evaluate the expression for t = 1.76. 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 27 + 1.76 = 28.76 Substitute 1.76 for t. The total cost of the sweater was $28.76.

10. Course 3 1-2 Algebraic Expressions Lesson Quiz Write an algebraic expression for each word phrase. 1. 5 less than a number k 2. a number x divided by 11 3. 4 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