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Students are introduced to variables and basic expressions.

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- 1. What You'll Learn Vocabulary 1) variables 2) algebraic expression 3) factors 4) product Variables and Expressions <ul><li>Write mathematical expressions for verbal expressions. </li></ul><ul><li>Write verbal expressions for mathematical expressions. </li></ul>5) power 6) base 7) exponent 8) evaluate
- 2. What algebraic expression can be used to find the perimeter of the triangle below? Variables and Expressions a b c
- 3. What algebraic expression can be used to find the perimeter of the triangle below? Perimeter = a + b + c Variables and Expressions a b c
- 4. 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 and Expressions a b c
- 5. 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 Variables and Expressions a b c
- 6. 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. Variables and Expressions a b c
- 7. 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. Variables and Expressions a b c
- 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. more than Variables and Expressions Math Translation English word(s)
- 20. It is often necessary to translate verbal expressions into algebraic expressions. more than addition Variables and Expressions Math Translation English word(s)
- 21. It is often necessary to translate verbal expressions into algebraic expressions. more than less than addition Variables and Expressions Math Translation English word(s)
- 22. It is often necessary to translate verbal expressions into algebraic expressions. more than less than addition subtraction Variables and Expressions Math Translation English word(s)
- 23. It is often necessary to translate verbal expressions into algebraic expressions. more than less than product addition subtraction Variables and Expressions Math Translation English word(s)
- 24. It is often necessary to translate verbal expressions into algebraic expressions. more than less than product addition subtraction multiplication Variables and Expressions Math Translation English word(s)
- 25. It is often necessary to translate verbal expressions into algebraic expressions. more than less than product addition subtraction multiplication of Variables and Expressions Math Translation English word(s)
- 26. It is often necessary to translate verbal expressions into algebraic expressions. more than less than product addition subtraction multiplication of multiplication quotient Variables and Expressions Math Translation English word(s)
- 27. It is often necessary to translate verbal expressions into algebraic expressions. more than less than product addition subtraction multiplication of multiplication quotient division Variables and Expressions Math Translation English word(s)
- 28. It is often necessary to translate verbal expressions into algebraic expressions. more than less than product addition subtraction multiplication of multiplication quotient division Write an algebraic expression for each verbal expression: Variables and Expressions Math Translation English word(s)
- 29. It is often necessary to translate verbal expressions into algebraic expressions. 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 . Variables and Expressions Math Translation English word(s) translates to
- 30. It is often necessary to translate verbal expressions into algebraic expressions. 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 Variables and Expressions Math Translation English word(s) translates to
- 31. It is often necessary to translate verbal expressions into algebraic expressions. 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 b) Seven less the product of 4 and a number x . Variables and Expressions Math Translation English word(s) translates to translates to
- 32. It is often necessary to translate verbal expressions into algebraic expressions. 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 b) Seven less the product of 4 and a number x . 7 – 4x c) One third of the size of the area a . Variables and Expressions Math Translation English word(s) translates to translates to translates to
- 33. It is often necessary to translate verbal expressions into algebraic expressions. 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 b) Seven less the product of 4 and a number x . 7 – 4x c) One third of the size of the area a . Variables and Expressions Math Translation English word(s) translates to translates to translates to
- 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 Variables and Expressions exponent base 4 6 power 6 factors of 4
- 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 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 exponent base 4 6 power 6 factors of 4
- 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 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 exponent base 4 6 power 6 factors of 4 base is only the x base is the ( ) and everything in it.
- 43. 4 1 4 2 4 3 4 4 3b 5 x n Variables and Expressions Meaning Words Symbols
- 44. 4 1 4 2 4 3 4 4 3b 5 x n 4 to the first power Variables and Expressions Meaning Words Symbols
- 45. 4 1 4 2 4 3 4 4 3b 5 x n 4 to the first power 4 to the second power or 4 squared Variables and Expressions Meaning Words Symbols
- 46. 4 1 4 2 4 3 4 4 3b 5 x n 4 to the first power 4 to the second power or 4 squared 4 to the third power or 4 cubed Variables and Expressions Meaning Words Symbols
- 47. 4 1 4 2 4 3 4 4 3b 5 x n 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 Meaning Words Symbols
- 48. 4 1 4 2 4 3 4 4 3b 5 x n 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 Meaning Words Symbols
- 49. 4 1 4 2 4 3 4 4 3b 5 x n 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 Meaning Words Symbols
- 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. Variables and Expressions 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
- 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? Variables and Expressions 12 in 12 in 12 in
- 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? Variables and Expressions 12 in 12 in 12 in
- 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? Variables and Expressions 12 in 12 in 12 in
- 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? Variables and Expressions 12 in 12 in 12 in
- 72. End of Lesson!

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