1. 1) variables 2) algebraic expression 3) factors 4) product Variables and Expressions  Write mathematical expressions for verbal expressions.  Write verbal expressions for mathematical expressions. 5) power 6) base 7) exponent 8) evaluate

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

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

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

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

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

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

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

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

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

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

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

13. An algebraic expression consists of one or more numbers and variables along with one 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. Variables and Expressions

14. An algebraic expression consists of one or more numbers and variables along with one 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: Variables and Expressions

15. An algebraic expression consists of one or more numbers and variables along with one 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 _______. Variables and Expressions

16. An algebraic expression consists of one or more numbers and variables along with one 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 _______, factors and the result is called the _______. Variables and Expressions

17. An algebraic expression consists of one or more numbers and variables along with one 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 _______, factors and the result is called the _______. product Variables and Expressions

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

19. It is often necessary to translate verbal expressions into algebraic expressions. English word(s)Math Translation more than Variables and Expressions

20. It is often necessary to translate verbal expressions into algebraic expressions. English word(s)Math Translation more than addition Variables and Expressions

21. It is often necessary to translate verbal expressions into algebraic expressions. English word(s)Math Translation more than less than addition Variables and Expressions

22. It is often necessary to translate verbal expressions into algebraic expressions. English word(s)Math Translation more than less than addition subtraction Variables and Expressions

23. It is often necessary to translate verbal expressions into algebraic expressions. English word(s)Math Translation more than less than product addition subtraction Variables and Expressions

24. It is often necessary to translate verbal expressions into algebraic expressions. English word(s)Math Translation more than less than product addition subtraction multiplication Variables and Expressions

25. It is often necessary to translate verbal expressions into algebraic expressions. English word(s)Math Translation more than less than product addition subtraction multiplication of Variables and Expressions

26. It is often necessary to translate verbal expressions into algebraic expressions. English word(s)Math Translation more than less than product addition subtraction multiplication of multiplication quotient Variables and Expressions

27. It is often necessary to translate verbal expressions into algebraic expressions. English word(s)Math Translation more than less than product addition subtraction multiplication of multiplication quotient division Variables and Expressions

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

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

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

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

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

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

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

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

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

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

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

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

40. An expression like x n is called a ______, power and is read, “ x to the n th power.” The variable x is called the ____, and n is called the ________. base exponent The exponent indicates the number of times the _____ is used as a ______. base factor exponent base 4646 power 6 factors of 4 Variables and Expressions

41. An expression like x n is called a ______, power and is read, “ x to the n th power.” The variable x is called the ____, and n is called the ________. base exponent The exponent indicates the number of times the _____ is used as a ______. base factor exponent base 4646 power 6 factors of 4 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). Variables and Expressions

42. An expression like x n is called a ______, power and is read, “ x to the n th power.” The variable x is called the ____, and n is called the ________. base exponent The exponent indicates the number of times the _____ is used as a ______. base factor exponent base 4646 power 6 factors of 4 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). base is only the x base is the ( ) and everything in it. Variables and Expressions

43. SymbolsWordsMeaning 4141 4242 4343 4 3b 5 xnxn Variables and Expressions

44. SymbolsWordsMeaning 4141 4242 4343 4 3b 5 xnxn 4 to the first power Variables and Expressions

45. SymbolsWordsMeaning 4141 4242 4343 4 3b 5 xnxn 4 to the first power 4 to the second power or 4 squared Variables and Expressions

46. SymbolsWordsMeaning 4141 4242 4343 4 3b 5 xnxn 4 to the first power 4 to the second power or 4 squared 4 to the third power or 4 cubed Variables and Expressions

47. SymbolsWordsMeaning 4141 4242 4343 4 3b 5 xnxn 4 to the first power 4 to the second power or 4 squared 4 to the third power or 4 cubed 4 to the fourth power Variables and Expressions

48. SymbolsWordsMeaning 4141 4242 4343 4 3b 5 xnxn 4 to the first power 4 to the second power or 4 squared 4 to the third power or 4 cubed 4 to the fourth power 3 times b to the fifth power Variables and Expressions

49. SymbolsWordsMeaning 4141 4242 4343 4 3b 5 xnxn 4 to the first power 4 to the second power or 4 squared 4 to the third power or 4 cubed 4 to the fourth power 3 times b to the fifth power x to the n th power Variables and Expressions

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

51. To evaluate an expression means to ____________. find its value Variables and Expressions

52. To evaluate an expression means to ____________. find its value Evaluate each expression: 2 4 = = 16 5 3 = = 125 Variables and Expressions

53. To evaluate an expression means to ____________. find its value Evaluate each expression: 2 4 = = 16 5 3 = = 125 Variables and Expressions

54. To evaluate an expression means to ____________. find its value Evaluate each expression: 2 4 = = 16 5 3 = = 125 = 4 = 25 = 64 = 121 Variables and Expressions

55. To evaluate an expression means to ____________. find its value Evaluate each expression: 2 4 = = 16 5 3 = = 125 = 4 = 25 = 64 = 121 Variables and Expressions

56. To evaluate an expression means to ____________. find its value Evaluate each expression: 2 4 = = 16 5 3 = = 125 = 4 = 9 = 25 = 36 = 64 = 81 = 121 = 144 Variables and Expressions

57. To evaluate an expression means to ____________. find its value Evaluate each expression: 2 4 = = 16 5 3 = = 125 = 4 = 9 = 25 = 36 = 64 = 81 = 121 = 144 Variables and Expressions

58. To evaluate an expression means to ____________. find its value Evaluate each expression: 2 4 = = 16 5 3 = = 125 = 4 = 9 = 16 = 25 = 36 = 49 = 64 = 81 = 100 = 121 = 144 = 169 Variables and Expressions

59. Find the perimeter of the triangle. The dimensions are in feet. a b c = 8 = 17 = 15 Variables and Expressions

60. Find the perimeter of the triangle. The dimensions are in feet. a b c Perimeter = a + b + c Write the expression. = 8 = 17 = 15 Variables and Expressions

61. Find the perimeter of the triangle. The dimensions are in feet. a b c Perimeter = a + b + c Write the expression. = 8 + 15 + 17 Substitute values. = 8 = 17 = 15 Variables and Expressions

62. Find the perimeter of the triangle. The dimensions are in feet. a b c Perimeter = a + b + c Write the expression. = 8 + 15 + 17 Substitute values. = 40 Simplify. = 8 = 17 = 15 Variables and Expressions

63. Find the perimeter of the triangle. The dimensions are in feet. a b c Perimeter = a + b + c Write the expression. = 8 + 15 + 17 Substitute values. = 40 Simplify. The triangle has a perimeter of 40 feet. = 8 = 17 = 15 Variables and Expressions

64. Exponents often are used in the formula for area and volume. In fact, the word squared comes from the formula for the area of a square. s s Area of a square: A = s 2 The word cubed comes from the formula for the volume of a cube. s s s Volume of Cube: V = s 3 Variables and Expressions

65. Evaluate the expression for the given values of the variables. c 3 + d when c = 4 and d = 16 Variables and Expressions

66. Evaluate the expression for the given values of the variables. c 3 + d when c = 4 and d = 16 Variables and Expressions

67. Evaluate the expression for the given values of the variables. c 3 + d when c = 4 and d = 16 Variables and Expressions

68. Evaluate the expression for the given values of the variables. c 3 + d when c = 4 and d = 16 Each dimension of the cubical storage space inside a fireproof safe is 12 inches. What is the volume of the storage space? 12 in Variables and Expressions

69. Evaluate the expression for the given values of the variables. c 3 + d when c = 4 and d = 16 Each dimension of the cubical storage space inside a fireproof safe is 12 inches. What is the volume of the storage space? 12 in Variables and Expressions

70. Evaluate the expression for the given values of the variables. c 3 + d when c = 4 and d = 16 Each dimension of the cubical storage space inside a fireproof safe is 12 inches. What is the volume of the storage space? 12 in Variables and Expressions

71. Evaluate the expression for the given values of the variables. c 3 + d when c = 4 and d = 16 Each dimension of the cubical storage space inside a fireproof safe is 12 inches. What is the volume of the storage space? 12 in Variables and Expressions