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Linear Equations
By the end of the lesson you should be able to :
• Solve equations involving brackets.
• Solve equations with fractions by using cross 
multiplication.
• Change the  subject of a formula.
Solve the equation:
4 x ­ ( 5 ­ x ) = 7
Remember !!! Check your answer by
substituting it into the equation
4 x ­  5   + x = 7
5 x ­  5  = 7
5 x   = 12
  x   = 12/5
6 a ­ 5 ­ ( 4 a ­ 7 ) = 0
Solve the equation:
6 a  ­  5  ­ 4 a  + 7 = 0
2 a    + 2 = 0
2 a    = ­2
 a    = ­1
Remember !!! Check your answer by
substituting it into the equation
Solve the equation:
3x + 2 ( x + 1 ) = 3 x + 12
3x  + 2 x + 2 = 3 x + 12 
5 x + 2 = 3 x + 12 
5 x ­ 3 x + 2 =   12 
2 x  =   12 ­ 2
2 x  =   10
 x  =  5
Remember !!! Check your answer by
substituting it into the equation
Solve the equation:
3 ( 2 p + 1 ) ­ 2 ( 2 p + 1 ) = 10
6 p + 3 ­  4 p ­  2 = 10
2 p + 1     = 10
2 p   = 9
 p   = 4.5
Remember !!! Check your answer by
substituting it into the equation
Solve the equation:
4 ( 3x ­ 1 ) ­ 3 ( 3x + 2 ) = 0
12 x ­  4  ­ 9 x  ­  6 = 0
3 x  ­  10  = 0
3 x  = 10
 x  = 10/3
Remember !!! Check your answer by
substituting it into the equation
Solve the equation
= 9
x = 36
Equations with fractions
Solve the equation:
Remember !!! Check your answer by
substituting it into the equation
Solve the equation
http://www.mymaths.co.uk/gold/equations/solvingEquationsWithFractions.html
3 = 8  + 
­5 = 
­25  =  x 
Solve the equation:
Remember !!! Check your answer by
substituting it into the equation
Which method do you like best?
Solve the equation:
Solve the equation:
lowest common 
denominator is 12
lowest common 
denominator is 10
lowest common 
denominator is 6
lowest common 
denominator is 3x
Solve the equation:
Remember !!! Check your answer by
substituting it into the equation
Solve from book: Pages 20, 21, 23
EQUATIONS Y9.pdf
Attachments
2009     EQUATIONS.docx
EQUATIONS Y9.pdf

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