GCSEMathsEdexcelHigherExam Questions2. AlgebraLinear Equations

Linear Equations (Edexcel GCSE Maths: Higher)

Exam Questions

2 hours39 questions
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1a
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Solve    3 open parentheses x minus 2 close parentheses space equals space x plus 7

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1b
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Solve fraction numerator 2 minus y over denominator 5 end fraction space equals space 1

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2a
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Simplify     5 x space plus space 4 y space plus space x space minus space 7 y

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2b
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Solve 7 open parentheses x plus 2 close parentheses space equals space 7

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3a
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x space equals space 3

Work out the value of  4 x squared

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3b
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Solve    5 x space plus space 4 space equals 14 space space plus space x space

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4
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Solve       4 open parentheses x space plus space 3 close parentheses space equals space 2 x space plus 8

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5
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Solve    5 x space minus space 6 space equals space 3 open parentheses x minus 1 close parentheses

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6
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Steve is asked to solve the equation 5 open parentheses x space plus space 2 close parentheses space equals space 47

Here is his working.

table row cell 5 open parentheses x space plus space 2 close parentheses space end cell equals cell space 47 end cell row cell 5 x space plus space 2 space end cell equals cell space 47 end cell row cell 5 x space end cell equals cell space 45 end cell row cell x space end cell equals cell space 9 end cell end table

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7
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Solve 5 left parenthesis 4 space – space x right parenthesis space equals space 7 space – space 3 x

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x space equals ...........................................

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8
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Solve y space equals space fraction numerator 2 y space plus 1 over denominator 5 end fraction

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y space equals      

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9
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Solve 4 x space minus space 13 space equals space 17 space plus space 8 x

x = .....................

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10
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Solve  5 left parenthesis x space plus space 3 right parenthesis space equals space 3 x space – space 4
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x space equals space .......................................................

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11
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Solve  10 x space equals space 62.4 space – space 3 x

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12
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Solve 3 x space equals space 2 x
Circle your answer.

x space equals space – 1

x space equals space 0

x space equals 2 over 3

x equals 3 over 2

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13
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Solve.

4 x plus 3 equals 13

x equals................................

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14
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Solve.

6 x space minus 10 space equals space 4 x space plus space 1

x =..................................

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15
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Solve.

  fraction numerator 6 x minus 10 over denominator 5 end fraction equals 1

x = ...................................................

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16
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Solve.

6 x plus 2 equals 5 minus 4 x

x = .....................................................

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1
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Solve   fraction numerator 5 w space minus space 8 over denominator 3 end fraction space equals space 4 w space plus space 2

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2
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Solve  fraction numerator 4 open parentheses 8 x space minus space 2 close parentheses over denominator 3 x end fraction space equals space 10

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3
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Solve         fraction numerator 15 space minus space x over denominator 5 end fraction space equals space 3 x space plus space 11

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4a
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Solve      7 open parentheses k minus 3 close parentheses space equals space 3 k space minus 5

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4b
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Solve   fraction numerator 7 space minus space 3 f over denominator 4 end fraction space equals space 2

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5
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Solve        fraction numerator 11 space minus space w over denominator 4 end fraction space equals space 1 space plus space w

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6
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Solve        fraction numerator 5 space minus space x over denominator 2 end fraction space equals space 2 x space minus space 7

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7
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Solve  6 x minus 5 equals fraction numerator 4 x minus space 7 over denominator 2 end fraction

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x = .........................................

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8
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Solve   4 minus 3 x equals fraction numerator 5 minus 8 x over denominator 4 end fraction

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x equals.............................

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9
Sme Calculator4 marks

Solve 3 left parenthesis 2 x space minus space 5 right parenthesis space equals space fraction numerator 9 space space minus space x over denominator 2 end fraction

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x = ...................

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10
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Solve fraction numerator 5 x minus 3 over denominator 4 end fraction space equals space 2 x space plus space 3

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x space equals .............................................

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11
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Solve  fraction numerator x plus 15 over denominator 3 end fraction equals 2 open parentheses x plus 10 close parentheses

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12
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Solve 4 left parenthesis 3 x space minus space 2 right parenthesis space equals space 2 x minus space 5

x = ....................

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13
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Solve.

fraction numerator x over denominator x plus 6 end fraction equals 5

x equals..............................

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1
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Solve      fraction numerator 4 x space minus space 1 over denominator 5 end fraction space plus space fraction numerator x space plus space 4 space over denominator 2 end fraction space equals space 3

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2
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Solve                fraction numerator x space plus space 1 over denominator 3 end fraction space plus space fraction numerator 2 x space plus space 5 over denominator 4 end fraction space equals space 2

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3
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Solve    fraction numerator x space plus space 2 over denominator 3 x end fraction space plus space fraction numerator x space minus space 2 over denominator 2 x end fraction space equals space 3

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4a
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Solve      5 open parentheses f minus 3 close parentheses space equals space f space plus space 10

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4b
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Solve   fraction numerator h space plus space 7 over denominator 3 end fraction space plus space fraction numerator 2 h space minus 1 over denominator 2 end fraction space equals space 5 over 6

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5
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Solve   fraction numerator 3 x space minus space 2 over denominator 4 end fraction space minus space fraction numerator 2 x space plus space 5 over denominator 3 end fraction space equals space fraction numerator 1 space minus space x over denominator 6 end fraction

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6
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Solve  fraction numerator 9 a minus 7 over denominator 5 end fraction minus fraction numerator 3 a minus 7 over denominator 4 end fraction equals 4.55

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a = ...............................................

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7
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The functions space straight fand straight g are defined as

table row cell straight f left parenthesis x right parenthesis space end cell equals cell space x squared space plus space 6 space end cell row cell straight g left parenthesis x right parenthesis space end cell equals cell space x space – space 10 end cell end table

Solve the equation fg left parenthesis x right parenthesis space equals space straight f left parenthesis x right parenthesis

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8
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Solve left parenthesis 2 x space plus space 5 right parenthesis squared space space equals space left parenthesis 2 x space plus space 3 right parenthesis left parenthesis 2 x space – space 1 right parenthesis

x space equals ......................................

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9
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Solve  fraction numerator 8 minus 2 x over denominator 3 end fraction minus fraction numerator 2 x minus 3 over denominator 2 end fraction equals 4

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x space equals space space space space space space space space space space space space space space

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10
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Solve the equation.

3 left parenthesis x minus 4 right parenthesis plus fraction numerator x plus 2 over denominator 5 end fraction equals 6   

x = ..............................................

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