GCSEFurther MathsAQATopic Questions2. Algebra & FunctionsSimultaneous Equations

Simultaneous Equations (AQA GCSE Further Maths)

Topic Questions

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1
Sme Calculator4 marks

3 a left parenthesis 2 x space – space 1 right parenthesis space plus space 4 left parenthesis a x space plus space 5 right parenthesis space identical to space 60 x space plus space b

Work out the values of a and b.

a = .......................... b  =...........................[4]

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2
Sme Calculator5 marks

Solve the simultaneous equations

  table row cell 2 a space plus space b space – space c space end cell equals cell space 8 end cell row cell 4 a space – space 3 b space – space 2 c space end cell equals cell space – 9 end cell row cell 6 a space plus space 3 b space plus space c space end cell equals cell space 0 end cell end table

         a= ................b=................ c=  ................  [5]

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3
Sme Calculator5 marks

Solve the simultaneous equations.

table row cell 4 a space – space b space plus space 3 c space end cell equals cell space 27 end cell row cell 3 a space plus space 2 b space – space c space end cell equals cell space 5 end cell row cell 2 a space – space 5 c space end cell equals cell space – 7 end cell end table

Do not use trial and improvement.
You must show your working.

a space equals................. space b space equals................. space c space equals.................[5]

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4
Sme Calculator3 marks

Here is the graph of y space equals space x squared space minus space 6 x space plus space 5 for values of x between 0 and 6

q17-paper1-nov2021-aqa-gcse-furthermaths

By drawing a suitable linear graph on the grid, work out approximate solutions to

x squared space minus space 7 x space plus space 9 space equals space 0

[3]

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5
Sme Calculator6 marks

Solve the simultaneous equations

x y space equals space 2 and y space equals space 3 x space plus space 5

Do not use trial and improvement.

You must show your working.

[6]

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