What You'll Learn

1. Variables and Expressions • Write mathematical expressions for verbal expressions. What You'll Learn • Write verbal expressions for mathematical expressions. Vocabulary 1) variables 2) algebraic expression 3) factors 4) product 5) power 6) base 7) exponent 8) evaluate

2. b a c Variables and Expressions What algebraic expression can be used to find the perimeter of the triangle below?

3. b a c Variables and Expressions What algebraic expression can be used to find the perimeter of the triangle below? Perimeter = a + b + c

4. b a c Variables and Expressions What algebraic expression can be used to find the perimeter of the triangle below? Perimeter = a + b + c In this algebraic expression, the letters a, b, and c are called ________.

5. b a c Variables and Expressions What algebraic expression can be used to find the perimeter of the triangle below? Perimeter = a + b + c In this algebraic expression, the letters a, b, and c are called ________. variables

6. b a c Variables and Expressions What algebraic expression can be used to find the perimeter of the triangle below? Perimeter = a + b + c In this algebraic expression, the letters a, b, and c are called ________. variables In algebra, variables are symbols used to represent unspecified numbers or values.

7. b a c Variables and Expressions What algebraic expression can be used to find the perimeter of the triangle below? Perimeter = a + b + c In this algebraic expression, the letters a, b, and c are called ________. variables In algebra, variables are symbols used to represent unspecified numbers or values. NOTE: Any letter may be used as a variable.

8. Variables and Expressions An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations.

9. Variables and Expressions An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations. Examples:

10. Variables and Expressions An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations. Examples:

11. Variables and Expressions An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations. Examples:

12. Variables and Expressions An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations. Examples:

13. Variables and Expressions An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations. Examples: In algebraic expressions, we often use a dot or parentheses to indicate multiplication. This is so we don’t mistake the symbol X for the letter (variable) x.

14. Variables and Expressions An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations. Examples: In algebraic expressions, we often use a dot or parentheses to indicate multiplication. This is so we don’t mistake the symbol X for the letter (variable) x. Examples:

15. Variables and Expressions An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations. Examples: In algebraic expressions, we often use a dot or parentheses to indicate multiplication. This is so we don’t mistake the symbol X for the letter (variable) x. Examples: In each expression, the quantities being multiplied are called _______, and the result is called the _______.

16. Variables and Expressions An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations. Examples: In algebraic expressions, we often use a dot or parentheses to indicate multiplication. This is so we don’t mistake the symbol X for the letter (variable) x. Examples: factors In each expression, the quantities being multiplied are called _______, and the result is called the _______.

17. Variables and Expressions An algebraic expression consists of one or more numbers and variables along withone or more arithmetic operations. Examples: In algebraic expressions, we often use a dot or parentheses to indicate multiplication. This is so we don’t mistake the symbol X for the letter (variable) x. Examples: factors In each expression, the quantities being multiplied are called _______, and the result is called the _______. product

18. Variables and Expressions It is often necessary to translate verbal expressions into algebraic expressions.

19. Variables and Expressions It is often necessary to translate verbal expressions into algebraic expressions. more than

20. Variables and Expressions It is often necessary to translate verbal expressions into algebraic expressions. addition more than

21. Variables and Expressions It is often necessary to translate verbal expressions into algebraic expressions. addition more than less than

22. Variables and Expressions It is often necessary to translate verbal expressions into algebraic expressions. addition more than subtraction less than

23. Variables and Expressions It is often necessary to translate verbal expressions into algebraic expressions. addition more than subtraction less than product

24. Variables and Expressions It is often necessary to translate verbal expressions into algebraic expressions. addition more than subtraction less than multiplication product

25. Variables and Expressions It is often necessary to translate verbal expressions into algebraic expressions. addition more than subtraction less than multiplication product of

26. Variables and Expressions It is often necessary to translate verbal expressions into algebraic expressions. addition more than subtraction less than multiplication product multiplication of quotient

27. Variables and Expressions It is often necessary to translate verbal expressions into algebraic expressions. addition more than subtraction less than multiplication product multiplication of division quotient

28. Variables and Expressions It is often necessary to translate verbal expressions into algebraic expressions. addition more than subtraction less than multiplication product multiplication of Write an algebraic expression for each verbal expression: division quotient

29. translates to Variables and Expressions It is often necessary to translate verbal expressions into algebraic expressions. addition more than subtraction less than multiplication product multiplication of Write an algebraic expression for each verbal expression: division quotient a) Eight more than a number n.

30. translates to Variables and Expressions It is often necessary to translate verbal expressions into algebraic expressions. addition more than subtraction less than multiplication product multiplication of Write an algebraic expression for each verbal expression: division quotient a) Eight more than a number n. 8 + n

31. translates to translates to Variables and Expressions It is often necessary to translate verbal expressions into algebraic expressions. addition more than subtraction less than multiplication product multiplication of Write an algebraic expression for each verbal expression: division quotient a) Eight more than a number n. 8 + n b) Seven less the product of 4 and a number x.

32. translates to translates to translates to Variables and Expressions It is often necessary to translate verbal expressions into algebraic expressions. addition more than subtraction less than multiplication product multiplication of Write an algebraic expression for each verbal expression: division quotient a) Eight more than a number n. 8 + n b) Seven less the product of 4 and a number x. 7 – 4x c) One third of the size of the area a.

33. translates to translates to translates to Variables and Expressions It is often necessary to translate verbal expressions into algebraic expressions. addition more than subtraction less than multiplication product multiplication of Write an algebraic expression for each verbal expression: division quotient a) Eight more than a number n. 8 + n b) Seven less the product of 4 and a number x. 7 – 4x c) One third of the size of the area a.

34. Variables and Expressions An expression like xn is called a ______, and is read, “x to the nth power.”

35. Variables and Expressions An expression like xn is called a ______, power and is read, “x to the nth power.”

36. Variables and Expressions An expression like xn is called a ______, power and is read, “x to the nth power.” The variable x is called the ____, and n is called the ________.

37. Variables and Expressions An expression like xn is called a ______, power and is read, “x to the nth power.” The variable x is called the ____, and n is called the ________. exponent base

38. Variables and Expressions An expression like xn is called a ______, power and is read, “x to the nth power.” The variable x is called the ____, and n is called the ________. exponent base The exponent indicates the number of times the _____ is used as a ______.

39. Variables and Expressions An expression like xn is called a ______, power and is read, “x to the nth power.” The variable x is called the ____, and n is called the ________. exponent base The exponent indicates the number of times the _____ is used as a ______. factor base

40. exponent 46 base power 6 factors of 4 Variables and Expressions An expression like xn is called a ______, power and is read, “x to the nth power.” The variable x is called the ____, and n is called the ________. exponent base The exponent indicates the number of times the _____ is used as a ______. factor base

41. exponent 46 base power 6 factors of 4 Variables and Expressions An expression like xn is called a ______, power and is read, “x to the nth power.” The variable x is called the ____, and n is called the ________. exponent base The exponent indicates the number of times the _____ is used as a ______. factor base NOTE: It is extremely important that you identify the base correctly. The base is exactly what the exponent is operating on (sitting on top of).

42. exponent 46 base power 6 factors of 4 base is the ( ) and everything in it. base is only the x Variables and Expressions An expression like xn is called a ______, power and is read, “x to the nth power.” The variable x is called the ____, and n is called the ________. exponent base The exponent indicates the number of times the _____ is used as a ______. factor base NOTE: It is extremely important that you identify the base correctly. The base is exactly what the exponent is operating on (sitting on top of).

43. Variables and Expressions 41 42 43 44 3b5 xn

44. Variables and Expressions 41 4 to the first power 42 43 44 3b5 xn

45. Variables and Expressions 41 4 to the first power 42 4 to the second power or 4 squared 43 44 3b5 xn

46. Variables and Expressions 41 4 to the first power 42 4 to the second power or 4 squared 43 4 to the third power or 4 cubed 44 3b5 xn

47. Variables and Expressions 41 4 to the first power 42 4 to the second power or 4 squared 43 4 to the third power or 4 cubed 44 4 to the fourth power 3b5 xn

48. Variables and Expressions 41 4 to the first power 42 4 to the second power or 4 squared 43 4 to the third power or 4 cubed 44 4 to the fourth power 3b5 3 times b to the fifth power xn

49. Variables and Expressions 41 4 to the first power 42 4 to the second power or 4 squared 43 4 to the third power or 4 cubed 44 4 to the fourth power 3b5 3 times b to the fifth power xn x to the nthpower

50. Variables and Expressions To evaluate an expression means to ____________.