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1-2 Writing Algebraic Expressions Warm Up Evaluate each expression for the given values of the variables. 1. 9y – 13 for y = 4 23 2. 6n + 2p for n = 2 and p = 3 18 3. 3x – y for x = 1 and y = 2 1 Homework: Page 12 #11-31 all. 1-2 Writing Algebraic Expressions Which operation symbol goes with each word? 1. Sum + 2. Product 3. Quotient 4. Difference – 1-2 Writing Algebraic Expressions Word Phrases + – • • • • • • • • • • 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 Expression n+5 x – 11 3m a or a 7 7 1-2 Writing Algebraic Expressions Write an algebraic expression for each word phrase. 5. 9 less than a number w 9 less than a number w w – 9 w–9 6. 3 increased by the difference of p and 5 3 increased by the difference of p and 5 3 + (p – 5) 3+p–5 1-2 Writing Algebraic Expressions Write an algebraic expression for each word phrase. 7. the sum of a number h and 88 minus 4 the sum of h and 88 minus 4 h + 88 – 4 h + 88 – 4 8. the quotient of a number f and 6 quotient of f and 6 f 6 f 6 1-2 Writing Algebraic Expressions 9. Write a word phrase for the algebraic expression 9 – 3c. 9 – 3c 9 – 3 9 minus • c the product of 3 and c 9 minus the product of 3 and c. 1-2 Writing Algebraic Expressions 10. Write a word phrase for the algebraic expression 7 + 19b. 7 + 19b 7 + 19 7 plus • b the product of 19 and b 7 plus the product of 19 and b. 1-2 Writing Algebraic Expressions 11. 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. $10 dollars • n $10n n 20 21 22 23 $10 $10 $10 $10 $10 • • • • • n 20 21 22 23 Combine n equal amounts of $10. In dollars Cost $200 $210 $220 $230 Evaluate for n = 20, 21, 22, and 23. 1-2 Writing Algebraic Expressions 12. Gasoline costs $3.59 per n gallons. What will the cost be for 10, 12, 14, and 15 gallons? $3.59 • n $3.59n n 10 12 14 15 Combine n equal amounts of $3.59. In dollars $3.59 • n $3.59 • 10 $3.59 • 12 $3.59 • 14 $3.59 • 15 Cost $35.90 $43.08 $50.26 $53.85 Evaluate for n = 10, 12, 14, and 15. 1-2 Writing Algebraic Expressions 13. Write a word problem that can be evaluated by the algebraic expression 27 + t, and evaluate the expression for t = 1.76. 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. 1-2 Writing Algebraic Expressions 14. Write a word problem that can be evaluated by the algebraic expression 43 – d, and evaluate the expression for d = 10.24. Possible Answer: Tina bought a new jacket for $43 minus a store credit. If the store credit was $10.24, what was the total cost of the jacket? 43 – d 43 – 10.24 = 32.76 Substitute 10.24 for t. The total cost of the jacket was $32.76.