Expressions and Formulas
Expressions and Formulas  Vocabulary 1) order of operations 2) variable 3) algebraic expression 4) formula Use the order of operations to evaluate    expressions. Use Formulas. You'll Learn To:
Nurses setting up intravenous or IV fluids must control the flow rate F, in drops per minute. Expressions and Formulas
Nurses setting up intravenous or IV fluids must control the flow rate F, in drops per minute. Expressions and Formulas  They use the formula  ,  where V is the volume of the solution in milliliters, d is the drop factor in drops per milliliter, and t is the time in minutes.
Nurses setting up intravenous or IV fluids must control the flow rate F, in drops per minute. Expressions and Formulas  They use the formula  ,  where V is the volume of the solution in milliliters, d is the drop factor in drops per milliliter, and t is the time in minutes.  Suppose a doctor orders 1500 milliliters of IV saline to be given over 12 hours. Using the drop factor of 15 drops per milliliter, the expression gives the correct flow rate for this patient’s IV.
Expressions and Formulas  A numerical expression such as  must have exactly one value.
In order to find that value, you must follow the _________________. Expressions and Formulas  A numerical expression such as  must have exactly one value.
In order to find that value, you must follow the _________________. order of operations Expressions and Formulas  A numerical expression such as  must have exactly one value.
In order to find that value, you must follow the _________________. Some students remember the  order  by using the following mnemonic: P E M D A S order of operations Expressions and Formulas  A numerical expression such as  must have exactly one value.
In order to find that value, you must follow the _________________. Some students remember the  order  by using the following mnemonic: P E M D A S lease xcuse y ear unt ally order of operations Expressions and Formulas  A numerical expression such as  must have exactly one value.
In order to find that value, you must follow the _________________. Some students remember the  order  by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / grouping symbols) (exponents) (multiplication – from left to right) (division – from left to right) (addition – from left to right) (subtraction – from left to right) order of operations Expressions and Formulas  A numerical expression such as  must have exactly one value.
Find the value of  Expressions and Formulas
Find the value of  = [2( 6 ) 2  + 3] ÷ 5 = [2( 36 ) + 3] ÷ 5 = [ 72  + 3] ÷ 5 = [ 75 ] ÷ 5 = 15 Expressions and Formulas
Find the value of  Expressions and Formulas
Find the value of  Expressions and Formulas
Find the value of  Expressions and Formulas
Find the value of  Expressions and Formulas
Find the value of  Expressions and Formulas
Find the value of  Expressions and Formulas
_________ are symbols, usually letters, used to represent unknown quantities. Variables Expressions and Formulas
_________ are symbols, usually letters, used to represent unknown quantities. Variables Expressions that contain at least one variable are called  algebraic expressions . Expressions and Formulas
_________ are symbols, usually letters, used to represent unknown quantities. Variables Expressions that contain at least one variable are called  algebraic expressions . You can evaluate an algebraic expression by replacing each variable with a number and then applying the order of operations. Expressions and Formulas
_________ are symbols, usually letters, used to represent unknown quantities. Variables Expressions that contain at least one variable are called  algebraic expressions . You can evaluate an algebraic expression by replacing each variable with a number and then applying the order of operations. Expressions and Formulas  Evaluate the expression  (  x – y  ) 2  – 2 wz ,  if  w  = 6,  x  = 0.4,  y  =  ,  and  z  = – 3.
_________ are symbols, usually letters, used to represent unknown quantities. Variables Expressions that contain at least one variable are called  algebraic expressions . You can evaluate an algebraic expression by replacing each variable with a number and then applying the order of operations. (  x – y  ) 2  – 2 wz =  ( 0.4  –  0.5 ) 2  – 2(6)(  - 3 ) Expressions and Formulas  Evaluate the expression  (  x – y  ) 2  – 2 wz ,  if  w  = 6,  x  = 0.4,  y  =  ,  and  z  = – 3.
_________ are symbols, usually letters, used to represent unknown quantities. Variables Expressions that contain at least one variable are called  algebraic expressions . You can evaluate an algebraic expression by replacing each variable with a number and then applying the order of operations. (  x – y  ) 2  – 2 wz =  ( 0.4  –  0.5 ) 2  – 2(6)(  - 3 ) = (  –  0.1) 2  – 12( –  3) Expressions and Formulas  Evaluate the expression  (  x – y  ) 2  – 2 wz ,  if  w  = 6,  x  = 0.4,  y  =  ,  and  z  = – 3.
_________ are symbols, usually letters, used to represent unknown quantities. Variables Expressions that contain at least one variable are called  algebraic expressions . You can evaluate an algebraic expression by replacing each variable with a number and then applying the order of operations. (  x – y  ) 2  – 2 wz =  ( 0.4  –  0.5 ) 2  – 2(6)(  - 3 ) = (  –  0.1) 2  – 12( –  3) = (  0.01) + 36 Expressions and Formulas  Evaluate the expression  (  x – y  ) 2  – 2 wz ,  if  w  = 6,  x  = 0.4,  y  =  ,  and  z  = – 3.
_________ are symbols, usually letters, used to represent unknown quantities. Variables Expressions that contain at least one variable are called  algebraic expressions . You can evaluate an algebraic expression by replacing each variable with a number and then applying the order of operations. (  x – y  ) 2  – 2 wz =  ( 0.4  –  0.5 ) 2  – 2(6)(  - 3 ) = (  –  0.1) 2  – 12( –  3) = (  0.01) + 36 = 36.01 Expressions and Formulas  Evaluate the expression  (  x – y  ) 2  – 2 wz ,  if  w  = 6,  x  = 0.4,  y  =  ,  and  z  = – 3.
A _______ is a mathematical sentence that expresses the relationship between  certain quantities. formula Expressions and Formulas
A _______ is a mathematical sentence that expresses the relationship between  certain quantities. formula If you know the value of every variable in the formula except one, you can find the value of the remaining variable. Expressions and Formulas
A _______ is a mathematical sentence that expresses the relationship between  certain quantities. formula If you know the value of every variable in the formula except one, you can find the value of the remaining variable. This shape is called a _________. Expressions and Formulas  14 in 26 in 6 in
A _______ is a mathematical sentence that expresses the relationship between  certain quantities. formula If you know the value of every variable in the formula except one, you can find the value of the remaining variable. This shape is called a _________. trapezoid Expressions and Formulas  14 in 26 in 6 in
A _______ is a mathematical sentence that expresses the relationship between  certain quantities. formula If you know the value of every variable in the formula except one, you can find the value of the remaining variable. This shape is called a _________. trapezoid The formula for calculating the area of a trapezoid is Expressions and Formulas  14 in 26 in 6 in
A _______ is a mathematical sentence that expresses the relationship between  certain quantities. formula If you know the value of every variable in the formula except one, you can find the value of the remaining variable. This shape is called a _________. trapezoid The formula for calculating the area of a trapezoid is Expressions and Formulas  14 in 26 in 6 in
Find the area of the trapezoid: Expressions and Formulas  14 in 26 in 6 in
Find the area of the trapezoid: Expressions and Formulas  14 in 26 in 6 in
Find the area of the trapezoid: Expressions and Formulas  14 in 26 in 6 in
Find the area of the trapezoid: Expressions and Formulas  14 in 26 in 6 in
Find the area of the trapezoid: Expressions and Formulas  14 in 26 in 6 in
Find the area of the trapezoid: The area of the trapezoid is 120 square inches. Expressions and Formulas  14 in 26 in 6 in
End  of  Lesson Expressions and Formulas
Credits  PowerPoint created by Using Glencoe’s Algebra 2 text, © 2005 Robert Fant

Expressions & Formulas (Algebra 2)

  • 1.
  • 2.
    Expressions and Formulas Vocabulary 1) order of operations 2) variable 3) algebraic expression 4) formula Use the order of operations to evaluate expressions. Use Formulas. You'll Learn To:
  • 3.
    Nurses setting upintravenous or IV fluids must control the flow rate F, in drops per minute. Expressions and Formulas
  • 4.
    Nurses setting upintravenous or IV fluids must control the flow rate F, in drops per minute. Expressions and Formulas They use the formula , where V is the volume of the solution in milliliters, d is the drop factor in drops per milliliter, and t is the time in minutes.
  • 5.
    Nurses setting upintravenous or IV fluids must control the flow rate F, in drops per minute. Expressions and Formulas They use the formula , where V is the volume of the solution in milliliters, d is the drop factor in drops per milliliter, and t is the time in minutes. Suppose a doctor orders 1500 milliliters of IV saline to be given over 12 hours. Using the drop factor of 15 drops per milliliter, the expression gives the correct flow rate for this patient’s IV.
  • 6.
    Expressions and Formulas A numerical expression such as must have exactly one value.
  • 7.
    In order tofind that value, you must follow the _________________. Expressions and Formulas A numerical expression such as must have exactly one value.
  • 8.
    In order tofind that value, you must follow the _________________. order of operations Expressions and Formulas A numerical expression such as must have exactly one value.
  • 9.
    In order tofind that value, you must follow the _________________. Some students remember the order by using the following mnemonic: P E M D A S order of operations Expressions and Formulas A numerical expression such as must have exactly one value.
  • 10.
    In order tofind that value, you must follow the _________________. Some students remember the order by using the following mnemonic: P E M D A S lease xcuse y ear unt ally order of operations Expressions and Formulas A numerical expression such as must have exactly one value.
  • 11.
    In order tofind that value, you must follow the _________________. Some students remember the order by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / grouping symbols) (exponents) (multiplication – from left to right) (division – from left to right) (addition – from left to right) (subtraction – from left to right) order of operations Expressions and Formulas A numerical expression such as must have exactly one value.
  • 12.
    Find the valueof Expressions and Formulas
  • 13.
    Find the valueof = [2( 6 ) 2 + 3] ÷ 5 = [2( 36 ) + 3] ÷ 5 = [ 72 + 3] ÷ 5 = [ 75 ] ÷ 5 = 15 Expressions and Formulas
  • 14.
    Find the valueof Expressions and Formulas
  • 15.
    Find the valueof Expressions and Formulas
  • 16.
    Find the valueof Expressions and Formulas
  • 17.
    Find the valueof Expressions and Formulas
  • 18.
    Find the valueof Expressions and Formulas
  • 19.
    Find the valueof Expressions and Formulas
  • 20.
    _________ are symbols,usually letters, used to represent unknown quantities. Variables Expressions and Formulas
  • 21.
    _________ are symbols,usually letters, used to represent unknown quantities. Variables Expressions that contain at least one variable are called algebraic expressions . Expressions and Formulas
  • 22.
    _________ are symbols,usually letters, used to represent unknown quantities. Variables Expressions that contain at least one variable are called algebraic expressions . You can evaluate an algebraic expression by replacing each variable with a number and then applying the order of operations. Expressions and Formulas
  • 23.
    _________ are symbols,usually letters, used to represent unknown quantities. Variables Expressions that contain at least one variable are called algebraic expressions . You can evaluate an algebraic expression by replacing each variable with a number and then applying the order of operations. Expressions and Formulas Evaluate the expression ( x – y ) 2 – 2 wz , if w = 6, x = 0.4, y = , and z = – 3.
  • 24.
    _________ are symbols,usually letters, used to represent unknown quantities. Variables Expressions that contain at least one variable are called algebraic expressions . You can evaluate an algebraic expression by replacing each variable with a number and then applying the order of operations. ( x – y ) 2 – 2 wz = ( 0.4 – 0.5 ) 2 – 2(6)( - 3 ) Expressions and Formulas Evaluate the expression ( x – y ) 2 – 2 wz , if w = 6, x = 0.4, y = , and z = – 3.
  • 25.
    _________ are symbols,usually letters, used to represent unknown quantities. Variables Expressions that contain at least one variable are called algebraic expressions . You can evaluate an algebraic expression by replacing each variable with a number and then applying the order of operations. ( x – y ) 2 – 2 wz = ( 0.4 – 0.5 ) 2 – 2(6)( - 3 ) = ( – 0.1) 2 – 12( – 3) Expressions and Formulas Evaluate the expression ( x – y ) 2 – 2 wz , if w = 6, x = 0.4, y = , and z = – 3.
  • 26.
    _________ are symbols,usually letters, used to represent unknown quantities. Variables Expressions that contain at least one variable are called algebraic expressions . You can evaluate an algebraic expression by replacing each variable with a number and then applying the order of operations. ( x – y ) 2 – 2 wz = ( 0.4 – 0.5 ) 2 – 2(6)( - 3 ) = ( – 0.1) 2 – 12( – 3) = ( 0.01) + 36 Expressions and Formulas Evaluate the expression ( x – y ) 2 – 2 wz , if w = 6, x = 0.4, y = , and z = – 3.
  • 27.
    _________ are symbols,usually letters, used to represent unknown quantities. Variables Expressions that contain at least one variable are called algebraic expressions . You can evaluate an algebraic expression by replacing each variable with a number and then applying the order of operations. ( x – y ) 2 – 2 wz = ( 0.4 – 0.5 ) 2 – 2(6)( - 3 ) = ( – 0.1) 2 – 12( – 3) = ( 0.01) + 36 = 36.01 Expressions and Formulas Evaluate the expression ( x – y ) 2 – 2 wz , if w = 6, x = 0.4, y = , and z = – 3.
  • 28.
    A _______ isa mathematical sentence that expresses the relationship between certain quantities. formula Expressions and Formulas
  • 29.
    A _______ isa mathematical sentence that expresses the relationship between certain quantities. formula If you know the value of every variable in the formula except one, you can find the value of the remaining variable. Expressions and Formulas
  • 30.
    A _______ isa mathematical sentence that expresses the relationship between certain quantities. formula If you know the value of every variable in the formula except one, you can find the value of the remaining variable. This shape is called a _________. Expressions and Formulas 14 in 26 in 6 in
  • 31.
    A _______ isa mathematical sentence that expresses the relationship between certain quantities. formula If you know the value of every variable in the formula except one, you can find the value of the remaining variable. This shape is called a _________. trapezoid Expressions and Formulas 14 in 26 in 6 in
  • 32.
    A _______ isa mathematical sentence that expresses the relationship between certain quantities. formula If you know the value of every variable in the formula except one, you can find the value of the remaining variable. This shape is called a _________. trapezoid The formula for calculating the area of a trapezoid is Expressions and Formulas 14 in 26 in 6 in
  • 33.
    A _______ isa mathematical sentence that expresses the relationship between certain quantities. formula If you know the value of every variable in the formula except one, you can find the value of the remaining variable. This shape is called a _________. trapezoid The formula for calculating the area of a trapezoid is Expressions and Formulas 14 in 26 in 6 in
  • 34.
    Find the areaof the trapezoid: Expressions and Formulas 14 in 26 in 6 in
  • 35.
    Find the areaof the trapezoid: Expressions and Formulas 14 in 26 in 6 in
  • 36.
    Find the areaof the trapezoid: Expressions and Formulas 14 in 26 in 6 in
  • 37.
    Find the areaof the trapezoid: Expressions and Formulas 14 in 26 in 6 in
  • 38.
    Find the areaof the trapezoid: Expressions and Formulas 14 in 26 in 6 in
  • 39.
    Find the areaof the trapezoid: The area of the trapezoid is 120 square inches. Expressions and Formulas 14 in 26 in 6 in
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    End of Lesson Expressions and Formulas
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    Credits PowerPointcreated by Using Glencoe’s Algebra 2 text, © 2005 Robert Fant