y9 algebra 1 linear equations
TRANSCRIPT
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LinearEquationsBytheendofthelessonyoushouldbeableto:
Solveequationsinvolvingbrackets.
Solveequationswithfractionsbyusingcrossmultiplication.
Changethesubjectofaformula.
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Solvetheequation:
4x(5x)=7
Remember !!! Check your answer by substituting it into the equation
4x5+x=7
5x5=7
5x=12
x=12/5
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6a5(4a7)=0Solvetheequation:
6a54a+7=0
2a+2=0
2a=2
a=1
Remember !!! Check your answer by substituting it into the equation
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Solvetheequation:
3x+2(x+1)=3x+12
3x+2x+2=3x+12
5x+2=3x+12
5x3x+2=12
2x=122
2x=10x=5
Remember !!! Check your answer by substituting it into the equation
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Solvetheequation:
3(2p+1)2(2p+1)=10
6p+34p2=10
2p+1=10
2p=9
p=4.5
Remember !!! Check your answer by substituting it into the equation
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Solvetheequation:
4(3x1)3(3x+2)=0
12x49x6=0
3x10=0
3x=10
x=10/3
Remember !!! Check your answer by substituting it into the equation
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Solvetheequation
=9
x=36
Equationswithfractions
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Solvetheequation:
Remember !!! Check your answer by substituting it into the equation
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Solvetheequation
http://www.mymaths.co.uk/gold/equations/solvingEquationsWithFractions.html
3=8+
5=
25=x
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Solvetheequation:
Remember !!! Check your answer by substituting it into the equation
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Which method do you like best?
Solvetheequation:
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Solvetheequation:
lowestcommondenominatoris12
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lowestcommondenominatoris10
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lowestcommondenominatoris6
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lowestcommondenominatoris3x
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Solvetheequation:
Remember !!! Check your answer by substituting it into the equation
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Solvefrombook:Pages20,21,23
EQUATIONSY9.pdf
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Y9 EQUATIONS EV
1) Solve the following equations and check your answers :
a)
b) 15 + 2 a = 10 ( 4 5 a)
2) Solve the following equations removing brackets first.
a) 3 ( x 1 ) + 7 = 2 ( x + 1 )
b) 4 x 2 ( x + 4 ) = x + 1
c) 5x 2 ( x 2 ) = 6 2 x
3) Solve these equations:
a)
b)
c)
d)
e)
f)
g)
c) 6 m 2 ( 7 m 7 ) = 0
d)
d) 3 ( 2 x + 1 ) 2 ( 2 x + 1 ) =10
e) 4(3 x 1 ) 3 (3 x +2) = 0
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4) If x is 3 meters,
(i) Which is greater; the perimeter of a square whose sides are each ( 3 x - 1) units long or the
perimeter of a rectangle whose length is x + 9 and whose width is 2 x 3 ?
(ii) How much greater?
5) A group of children are sharing out some sweets. There are 5 each and 2 sweets are left over. Then
three more children join them, and they share the sweets again. This time there are 3 each and 5
sweets are left over.
a) Let n be the number of children to start with. Write down an equation in n and solve it to find
the number of children.
b) How many sweets were there?
6) Andrews grandmother is 5 times as old as he is. Andrew works out that in 4 years she will be 4
times as old as he is.
a) Work out Andrews age and his grandmothers age.
b) When will Andrews grandmother be
(i) Three times as old as he is/?
(ii) twice as old as he is ?
Answers:
1) a) x= b) a = 3 c) m=5 d) x = -11
2) a) x=-2 b) x=9 c) x =
d) x=4
e) x=3
3) a) x=-3 b) v = -9 c) x =3 d) x =3
e) x = -6 f) x =
g) x=2
4) i) the square one ii) 2 units
5) a) n=6 b) 32
6) a) A= 12 G= 60 b)(i) after 12 years (ii) in 36 years
SMART Notebook
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Attachments
2009EQUATIONS.docx
EQUATIONSY9.pdf
Y9 EQUATIONS EV
1) Solve the following equations and check your answers :
6 m 2 ( 7 m 7 ) = 0
a)
b) 15 + 2 a = 10 ( 4 5 a)
2) Solve the following equations removing brackets first.
3 ( 2 x + 1 ) 2 ( 2 x + 1 ) =104(3 x 1 ) 3 (3 x +2) = 0
a) 3 ( x 1 ) + 7 = 2 ( x + 1 )
b) 4 x 2 ( x + 4 ) = x + 1
c) 5x 2 ( x 2 ) = 6 2 x
3) Solve these equations:
a)
b)
c)
d)
e)
f)
g)
4) If x is 3 meters,
(i) Which is greater; the perimeter of a square whose sides are each ( 3 x - 1) units long or the perimeter of a rectangle whose length is x + 9 and whose width is 2 x 3 ?
(ii) How much greater?
5) A group of children are sharing out some sweets. There are 5 each and 2 sweets are left over. Then three more children join them, and they share the sweets again. This time there are 3 each and 5 sweets are left over.
a) Let n be the number of children to start with. Write down an equation in n and solve it to find the number of children.
b) How many sweets were there?
6) Andrews grandmother is 5 times as old as he is. Andrew works out that in 4 years she will be 4 times as old as he is.
a) Work out Andrews age and his grandmothers age.
b) When will Andrews grandmother be
(i) Three times as old as he is/?
(ii) twice as old as he is ?
Answers:
1) a) x= b) a = 3 c) m=5 d) x = -11
2) a) x=-2 b) x=9 c) x = d) x=4 e) x=3
3) a) x=-3 b) v = -9 c) x =3 d) x =3 e) x = -6 f) x = g) x=2
4) i) the square one ii) 2 units
5) a) n=6 b) 32
6) a) A= 12 G= 60 b)(i) after 12 years (ii) in 36 years
SMART Notebook
-
Y9 EQUATIONS EV
1) Solve the following equations and check your answers :
a)
b) 15 + 2 a = 10 ( 4 5 a)
2) Solve the following equations removing brackets first.
a) 3 ( x 1 ) + 7 = 2 ( x + 1 )
b) 4 x 2 ( x + 4 ) = x + 1
c) 5x 2 ( x 2 ) = 6 2 x
3) Solve these equations:
a)
b)
c)
d)
e)
f)
g)
c) 6 m 2 ( 7 m 7 ) = 0
d)
d) 3 ( 2 x + 1 ) 2 ( 2 x + 1 ) =10
e) 4(3 x 1 ) 3 (3 x +2) = 0
-
4) If x is 3 meters,
(i) Which is greater; the perimeter of a square whose sides are each ( 3 x - 1) units long or the
perimeter of a rectangle whose length is x + 9 and whose width is 2 x 3 ?
(ii) How much greater?
5) A group of children are sharing out some sweets. There are 5 each and 2 sweets are left over. Then
three more children join them, and they share the sweets again. This time there are 3 each and 5
sweets are left over.
a) Let n be the number of children to start with. Write down an equation in n and solve it to find
the number of children.
b) How many sweets were there?
6) Andrews grandmother is 5 times as old as he is. Andrew works out that in 4 years she will be 4
times as old as he is.
a) Work out Andrews age and his grandmothers age.
b) When will Andrews grandmother be
(i) Three times as old as he is/?
(ii) twice as old as he is ?
Answers:
1) a) x= b) a = 3 c) m=5 d) x = -11
2) a) x=-2 b) x=9 c) x =
d) x=4
e) x=3
3) a) x=-3 b) v = -9 c) x =3 d) x =3
e) x = -6 f) x =
g) x=2
4) i) the square one ii) 2 units
5) a) n=6 b) 32
6) a) A= 12 G= 60 b)(i) after 12 years (ii) in 36 years
SMART Notebook
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