1. Algebra 1 CP Mrs. Mongold Unit 1 Lesson 1: Variables and Expressions

2. A few things to remember… Multiplication in Algebra is represented in the following ways The multiplication dot ∙ By writing things next to each other, 4x, means 4 times x Using parentheses, 5(xy), means 5 times xy A variable is a letter used to represent a value The number in the monomial 4x is called the coefficient In the monomial 3x 2 the three is the coefficient, the x is the base, and the 2 is the exponent. (3x) 2 and 3x 2 are not the same thing

3. A few things to remember… Multiplication in Algebra is represented in the following ways The multiplication dot ∙ By writing things next to each other, 4x, means 4 times x Using parentheses, 5(xy), means 5 times xy A variable is a letter used to represent a value The number in the monomial 4x is called the coefficient In the monomial 3x 2 the three is the coefficient, the x is the base, and the 2 is the exponent. (3x) 2 and 3x 2 are not the same thing

4. A few things to remember… Multiplication in Algebra is represented in the following ways The multiplication dot ∙ By writing things next to each other, 4x, means 4 times x Using parentheses, 5(xy), means 5 times xy A variable is a letter used to represent a value The number in the monomial 4x is called the coefficient In the monomial 3x 2 the three is the coefficient, the x is the base, and the 2 is the exponent. (3x) 2 and 3x 2 are not the same thing

5. A few things to remember… Multiplication in Algebra is represented in the following ways The multiplication dot ∙ By writing things next to each other, 4x, means 4 times x Using parentheses, 5(xy), means 5 times xy A variable is a letter used to represent a value The number in the monomial 4x is called the coefficient In the monomial 3x 2 the three is the coefficient, the x is the base, and the 2 is the exponent. (3x) 2 and 3x 2 are not the same thing

6. A few things to remember… Multiplication in Algebra is represented in the following ways The multiplication dot ∙ By writing things next to each other, 4x, means 4 times x Using parentheses, 5(xy), means 5 times xy A variable is a letter used to represent a value The number in the monomial 4x is called the coefficient In the monomial 3x 2 the three is the coefficient, the x is the base, and the 2 is the exponent. (3x) 2 and 3x 2 are not the same thing

7. A few things to remember… Multiplication in Algebra is represented in the following ways The multiplication dot ∙ By writing things next to each other, 4x, means 4 times x Using parentheses, 5(xy), means 5 times xy A variable is a letter used to represent a value The number in the monomial 4x is called the coefficient In the monomial 3x 2 the three is the coefficient, the x is the base, and the 2 is the exponent. (3x) 2 and 3x 2 are not the same thing

8. A few things to remember… Multiplication in Algebra is represented in the following ways The multiplication dot ∙ By writing things next to each other, 4x, means 4 times x Using parentheses, 5(xy), means 5 times xy A variable is a letter used to represent a value The number in the monomial 4x is called the coefficient In the monomial 3x 2 the three is the coefficient, the x is the base, and the 2 is the exponent. (3x) 2 and 3x 2 are not the same thing

9. A few things to remember… Multiplication in Algebra is represented in the following ways The multiplication dot ∙ By writing things next to each other, 4x, means 4 times x Using parentheses, 5(xy), means 5 times xy A variable is a letter used to represent a value The number in the monomial 4x is called the coefficient In the monomial 3x 2 the three is the coefficient, the x is the base, and the 2 is the exponent. (3x) 2 and 3x 2 are not the same thing

10. Definitions Algebraic Expression: a mathematical sentences expressing numbers and variables using mathematical operations Variable: Any letter used to represent unspecified numbers or values Factors: Any numbers or variables being multiplied together Product: The result of multiplying factors together

11. Definitions Algebraic Expression: a mathematical sentences expressing numbers and variables using mathematical operations Variable: Any letter used to represent unspecified numbers or values Factors: Any numbers or variables being multiplied together Product: The result of multiplying factors together

12. Definitions Algebraic Expression: a mathematical sentences expressing numbers and variables using mathematical operations Variable: Any letter used to represent unspecified numbers or values Factors: Any numbers or variables being multiplied together Product: The result of multiplying factors together

13. Definitions Algebraic Expression: a mathematical sentences expressing numbers and variables using mathematical operations Variable: Any letter used to represent unspecified numbers or values Factors: Any numbers or variables being multiplied together Product: The result of multiplying factors together

14. To write an algebraic expression 1. Read the written sentence 2. Label any given information with a variable or operation sign 3. Rewrite See summer review packet for key words

15. To write an algebraic expression 1. Read the written sentence 2. Label any given information with a variable or operation sign 3. Rewrite See summer review packet for key words

16. To write an algebraic expression 1. Read the written sentence 2. Label any given information with a variable or operation sign 3. Rewrite See summer review packet for key words

17. To write an algebraic expression 1. Read the written sentence 2. Label any given information with a variable or operation sign 3. Rewrite See summer review packet for key words

18. Examples from summer packet 1. The sum of 9 and a number 9 + x OR x+9

19. Examples from summer packet 1. The sum of 9 and a number 9 + x OR x+9

20. 2. The difference of a number cubed and twelve x 3 - 12

21. 2. The difference of a number cubed and twelve x 3 - 12

22. 3. A number decreased by 8 x - 8

23. 3. A number decreased by 8 x - 8

24. 4. Three less than 5 times a number 5x-3

25. 4. Three less than 5 times a number 5x-3

28. 6. The product of four and x increased by y 4x + y

29. 6. The product of four and x increased by y 4x + y

32. 8. A number to the power of five less seven x 5 - 7

33. 8. A number to the power of five less seven x 5 - 7

34. 9. Twice the sum of 15 and a number 2(15 + x)

35. 9. Twice the sum of 15 and a number 2(15 + x)

38. Homework Blue packet page 8/ 1-26 NO CALCULATORS