Y9 algebra 1 Linear Equations

LinearEquationsBytheendofthelessonyoushouldbeableto:

Solveequationsinvolvingbrackets.

Solveequationswithfractionsbyusingcrossmultiplication.

Changethesubjectofaformula.

Solvetheequation:

4x(5x)=7

Remember !!! Check your answer by substituting it into the equation

4x5+x=7

5x5=7

5x=12

x=12/5

6a5(4a7)=0Solvetheequation:

6a54a+7=0

2a+2=0

2a=2

a=1

Remember !!! Check your answer by substituting it into the equation

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

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

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

Solvetheequation

=9

x=36

Equationswithfractions

Solvetheequation:

Remember !!! Check your answer by substituting it into the equation

Solvetheequation

http://www.mymaths.co.uk/gold/equations/solvingEquationsWithFractions.html

3=8+

5=

25=x

Solvetheequation:

Remember !!! Check your answer by substituting it into the equation

Which method do you like best?

Solvetheequation:

Solvetheequation:

lowestcommondenominatoris12

lowestcommondenominatoris10

lowestcommondenominatoris6

lowestcommondenominatoris3x

Solvetheequation:

Remember !!! Check your answer by substituting it into the equation

Solvefrombook:Pages20,21,23

EQUATIONSY9.pdf

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

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

Page 1Page 2Page 3Page 4Page 5Page 6Page 7Page 8Page 9Page 10Page 11Page 12Page 13Page 14Page 15Page 16Page 17Attachments Page 1