Variables and Expressions Write mathematical expressions for verbal

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

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

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

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

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

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

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

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

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

Variables and Expressions 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 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 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 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: factors In each expression, the quantities being multiplied are called _______, and the result is called the _______.

Variables and Expressions 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: factors In each expression, the quantities being multiplied are called _______, product and the result is called the _______.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Variables and Expressions An expression like xn power and is read, “x to the nth power. ” is called a ______, exponent The variable x is called the base ____, and n is called the ____. The exponent indicates the number of times the _____ factor base is used as a ______. exponent base 46 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 An expression like xn power and is read, “x to the nth power. ” is called a ______, exponent The variable x is called the base ____, and n is called the ____. The exponent indicates the number of times the _____ factor base is used as a ______. exponent base 46 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 Symbols 41 42 43 44 3 b 5 xn Words Meaning

Variables and Expressions Symbols 41 42 43 44 3 b 5 xn Words 4 to the first power Meaning

Variables and Expressions Symbols Words 41 4 to the first power 42 4 to the second power or 4 squared 43 44 3 b 5 xn Meaning

Variables and Expressions Symbols Words 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 3 b 5 xn Meaning

Variables and Expressions Symbols Words 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 3 b 5 xn Meaning

Variables and Expressions Symbols Words 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 3 b 5 3 times b to the fifth power xn Meaning

Variables and Expressions Symbols Words 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 3 b 5 3 times b to the fifth power xn x to the nth power Meaning

Variables and Expressions To evaluate an expression means to ______.

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

Variables and Expressions find its value To evaluate an expression means to ______. Evaluate each expression: 24 = = 16 53 = = 125

Variables and Expressions find its value To evaluate an expression means to ______. Evaluate each expression: 53 = 24 = = 125 = 16 =4 = 25 = 64 = 121

Variables and Expressions find its value To evaluate an expression means to ______. Evaluate each expression: 53 = 24 = = 125 = 16 =4 = 25 = 64 = 121 =9 = 36 = 81 = 144

Variables and Expressions find its value To evaluate an expression means to ______. Evaluate each expression: 53 = 24 = = 125 = 16 =4 = 25 = 64 = 121 =9 = 36 = 81 = 144 = 16 = 49 = 100 = 169

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

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

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

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

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

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

Variables and Expressions 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