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Assignment #______ Variables and Expressions Name _____________________________ Standards: AF 1.1 Use variables and appropriate operations to write expressions. AF 1.4 Use algebraic terms: variable, expression Pre-Algebra, Period _______ Date ______________________________ Example: 15 • 15 + 14 is a NUMERICAL EXPRESSION because um… it only has NUMBERS. 15 + a – 10 is a VARIABLE EXPRESSION because it has a VARIABLE. “A” is the variable. Identify each expression as a NUMERICAL or a VARIABLE EXPRESSION. For a variable expression, name the variable. 1. 12 • 12 ________________________ 2. 8 + 8 + 9 + 9 ________________________ Variable ______ Variable ______ 3. h + 15 – 7 ________________________ 4. 50x ________________________ Variable ______ Variable ______ Write the phrase as an algebraic expression. Let x represent the variable. Verbal Phrase Example: The difference of a number and 21 5. A number more than nineteen Algebraic Expression x – 21________ ___________________ 6. The sum of a number and 11 ___________________ 7. A number divided by 3 ___________________ 8. 32 times a number ___________________ 9. The square of a number, increased by 3 ___________________ 10. A number subtracted by 10 ___________________ Write an expression for each quantity. 11. The number of days in four weeks 12. The number of days in w weeks. _________________________________ _____________________________ A hot air balloon is at an altitude of m meters. Write a word phrase for each expression. This may require some creativity on your part. Make up a situation. Algebraic Expression Word Phrase 13. m + 34 _________________________________________________ 14. m – 2000 _________________________________________________ 15. 3m _________________________________________________ 16. Which algebraic expression represents the verbal phrase 2 minus the product of 6 and x? A 2 – 6x B 6x – 2 C 2– 6 x D 2x – 6 17. A store sells CDs for $13 each. Write an expression for the store’s total sales when x CDs are sold. 18. You buy a PS3 for $300 and games for $60 each. Write an algebraic expression for the cost to buy the PS3 and x games. 19. Using the information from question #18, how much would you spend (total cost, including the PS3) if you were to purchase 2 games? 20. How much would you spend if you purchased 7 games?