equations - revision · equations - revision basics what are...? example analogue solving equations...
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Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Equations - Revision
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
What are Equations?
What are equations?
Sets of mathematical expressions which are equal
Don’t look the same
Contain different numbers and terms
Have the same value
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
What are Equations?
What are equations?
Sets of mathematical expressions which are equal
Don’t look the same
Contain different numbers and terms
Have the same value
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
What are Equations?
What are equations?
Sets of mathematical expressions which are equal
Don’t look the same
Contain different numbers and terms
Have the same value
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
What are Equations?
What are equations?
Sets of mathematical expressions which are equal
Don’t look the same
Contain different numbers and terms
Have the same value
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
What are Equations?
What are equations?
Sets of mathematical expressions which are equal
Don’t look the same
Contain different numbers and terms
Have the same value
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
What are Equations?
What are equations?
Sets of mathematical expressions which are equal
Don’t look the same
Contain different numbers and terms
Have the same value
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
An example
E = mc2
Equation – “equals” sign!
Two sides look different
But if true, both sides have the same value
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
An example
E = mc2
Equation
– “equals” sign!
Two sides look different
But if true, both sides have the same value
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
An example
E = mc2
Equation – “equals” sign!
Two sides look different
But if true, both sides have the same value
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
An example
E = mc2
Equation – “equals” sign!
Two sides look different
But if true, both sides have the same value
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
An example
E = mc2
Equation – “equals” sign!
Two sides look different
But if true, both sides have the same value
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Analogue
Equations can be compared to a balance
Tonne of feathers and tonne of bricks
Don’t look the same
But have the same weight
Would balance a set of scales
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Analogue
Equations can be compared to a balance
Tonne of feathers and tonne of bricks
Don’t look the same
But have the same weight
Would balance a set of scales
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Analogue
Equations can be compared to a balance
Tonne of feathers and tonne of bricks
Don’t look the same
But have the same weight
Would balance a set of scales
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Analogue
Equations can be compared to a balance
Tonne of feathers and tonne of bricks
Don’t look the same
But have the same weight
Would balance a set of scales
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Analogue
Equations can be compared to a balance
Tonne of feathers and tonne of bricks
Don’t look the same
But have the same weight
Would balance a set of scales
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Analogue
Equations can be compared to a balance
Tonne of feathers and tonne of bricks
Don’t look the same
But have the same weight
Would balance a set of scales
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Solving Equations
Equations usually contain at least one unknown value
e.g. x + 3 = 7 x is unknown
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Solving Equations
Equations usually contain at least one unknown value
e.g. x + 3 = 7 x is unknown
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Solving Equations
Equations usually contain at least one unknown value
e.g. x + 3 = 7
x is unknown
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Solving Equations
Equations usually contain at least one unknown value
e.g. x + 3 = 7 x is unknown
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Solving Equations
Solving an equation is the process of finding the unknown value
Solve x + 3 = 7
means find the value of x
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Solving Equations
Solving an equation is the process of finding the unknown value
Solve x + 3 = 7
means find the value of x
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Solving Equations
Solving an equation is the process of finding the unknown value
Solve x + 3 = 7
means find the value of x
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
How to solve equations
To solve an equation we need:
Unknown letter on one side of the equation
Numbers on the other side of the equation
Golden Rule of Equation Solving
Always do the same thing to both sides!
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
How to solve equations
To solve an equation we need:
Unknown letter on one side of the equation
Numbers on the other side of the equation
Golden Rule of Equation Solving
Always do the same thing to both sides!
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
How to solve equations
To solve an equation we need:
Unknown letter on one side of the equation
Numbers on the other side of the equation
Golden Rule of Equation Solving
Always do the same thing to both sides!
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
How to solve equations
To solve an equation we need:
Unknown letter on one side of the equation
Numbers on the other side of the equation
Golden Rule of Equation Solving
Always do the same thing to both sides!
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
How to solve equations
To solve an equation we need:
Unknown letter on one side of the equation
Numbers on the other side of the equation
Golden Rule of Equation Solving
Always do the same thing to both sides!
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
How to solve equations
To solve an equation we need:
Unknown letter on one side of the equation
Numbers on the other side of the equation
Golden Rule of Equation Solving
Always do the same thing to both sides!
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve x + 3 = 7
x + 3 = 7
x + 3/− 3/ = 7− 3 numbers on right only
x = 7− 3
x= 4
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve x + 3 = 7
x + 3 = 7
x + 3/− 3/ = 7− 3 numbers on right only
x = 7− 3
x= 4
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve x + 3 = 7
x + 3 = 7
x + 3/− 3/ = 7− 3 numbers on right only
x = 7− 3
x= 4
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve x + 3 = 7
x + 3 = 7
x + 3/− 3/ = 7− 3 numbers on right only
x = 7− 3
x= 4
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve x + 3 = 7
x + 3 = 7
x + 3/− 3/ = 7− 3 numbers on right only
x = 7− 3
x= 4
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve x + 3 = 7
x + 3 = 7
x + 3/− 3/ = 7− 3 numbers on right only
x = 7− 3
x= 4
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, x − 5 = 2
x − 5/ + 5/ = 2 + 5
x = 2 + 5
x= 7
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, x − 5 = 2
x − 5/ + 5/ = 2 + 5
x = 2 + 5
x= 7
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, x − 5 = 2
x − 5/ + 5/ = 2 + 5
x = 2 + 5
x= 7
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, x − 5 = 2
x − 5/ + 5/ = 2 + 5
x = 2 + 5
x= 7
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, x − 5 = 2
x − 5/ + 5/ = 2 + 5
x = 2 + 5
x= 7
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, x − 5 = 2
x − 5/ + 5/ = 2 + 5
x = 2 + 5
x= 7
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, 2x = 18
2/x
2/=
18
2
x =18
2x= 9
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, 2x = 18
2/x
2/=
18
2
x =18
2x= 9
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, 2x = 18
2/x
2/=
18
2
x =18
2x= 9
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, 2x = 18
2/x
2/=
18
2
x =18
2
x= 9
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, 2x = 18
2/x
2/=
18
2
x =18
2
x= 9
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, 2x = 18
2/x
2/=
18
2
x =18
2x= 9
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, 3n = 17
3/n
3/=
17
3
n =17
3
n = 52
3
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, 3n = 17
3/n
3/=
17
3
n =17
3
n = 52
3
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, 3n = 17
3/n
3/=
17
3
n =17
3
n = 52
3
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, 3n = 17
3/n
3/=
17
3
n =17
3
n = 52
3
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, 3n = 17
3/n
3/=
17
3
n =17
3
n = 52
3
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, 4x + 3 = 23
4x + 3/− 3/ = 23− 3
4x = 20
4/x
4/=
20
4
x= 5
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, 4x + 3 = 23
4x + 3/− 3/ = 23− 3
4x = 20
4/x
4/=
20
4
x= 5
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, 4x + 3 = 23
4x + 3/− 3/ = 23− 3
4x = 20
4/x
4/=
20
4
x= 5
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, 4x + 3 = 23
4x + 3/− 3/ = 23− 3
4x = 20
4/x
4/=
20
4
x= 5
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, 4x + 3 = 23
4x + 3/− 3/ = 23− 3
4x = 20
4/x
4/=
20
4
x= 5
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Examples
Solve, 4x + 3 = 23
4x + 3/− 3/ = 23− 3
4x = 20
4/x
4/=
20
4
x= 5
Equations -Revision
Basics
What are. . . ?
Example
Analogue
SolvingEquations
Meaning
Method
Examples
Your Turn
Your Turn
Page 171, Exercise 1Question 1 (o)-(r)Question 2 (o)-(r)Question 3