1. VARIABLES & EXPRESSIONS Section 1.1

2. Quantity Anything that can be measured or counted

3. Variable A symbol, usually a letter, that represents the value(s) of a quantity whose value can vary or change.

4. How is an algebraic expression different from a numerical expression? Algebraic Expression: Mathematical phrase that includes one or more variables. Numerical Expression: Mathematical phrase involving numbers and operation symbols, but no variables.

5. Words that tell you to add….

6. Words that tell you to subtract…

7. Multiply and Divide Words…..

8. Write the mathematical statement for the following….. 9 increased by 2 5 decreased by m Sum of 4 and 2x

9. Write the mathematical statement for the following….. 7 less than 12 7 increased by 5 times a number

10. Write the mathematical statement for the following….. 8 decreased by 3 times a number The sum of twice a number and 5

11. Write the mathematical statement for the following….. The product of 4 and the sum of a number and six. Eight less that the quotient of ten and two

12. You Try….. The sum of 7 and 3 times a number 4 times Harry’s age increased by 2 8 pounds less than twice wanda’s weight

13. You Try….. Eight more than the sum of twice a number and three. Four less than the product of five and a numbers Six times the sum of a number and five.

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15. How can you represent the following algebraic expressions? Seven more than a number

16. How can you represent the following algebraic expressions? Five more than twice a number

17. How can you represent the following algebraic expressions? Four less than a number

18. How can you represent the following algebraic expressions? One less than the product of five and a number

19. How can you represent the following algebraic expressions? The quotient of a number and two.

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21. The table below shows how the height above the floor of a house of cards depends on the number of levels. What is a rule for the height? # LevelsHeight (n) 2 3 4 n

22. Suppose you draw a segment from any one vertex of a regular polygon to the other vertices. Use the table to find a pattern and state the rule. #Sides Number of Triangles 44 – 2 5 5 – 2 66 – 2 n

23. Homework Worksheet