GCSEMathsOCRFoundationExam Questions6. AlgebraLinear Equations

Linear Equations (OCR GCSE Maths: Foundation): Exam Questions

1 hour21 questions
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1
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Solve  x plus x plus x plus x equals 12

 

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

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2
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Solve  t minus 9 equals 7

  

t = ...............................

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3
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Solve  x over 8 equals 5

 

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

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4a
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Complete these statements.

When w space equals.............................. , 10 w equals 70.

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4b
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When 5 x equals 15 comma space space 12 x equals.........................

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5
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Solve  5 x equals 4 x plus 6

 

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

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1
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Solve  4 x plus 9 equals 25

 

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

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2a
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Solve  fraction numerator 5 x over denominator 2 end fraction equals 20

 

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

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2b
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Solve  fraction numerator f plus 8 over denominator 7 end fraction equals 2

 

f = ...............................

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3
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Solve  3 x equals 5 minus 2 x

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

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4
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Solve the equation  12 x minus 7 equals 23

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

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5
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Solve these equations.

i) x plus 7 equals 15

x = ..............................................[1]

ii) 5 left parenthesis 3 x space plus space 8 right parenthesis space equals space 10

x = .....................................[3]

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6a
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Solve.

8 open parentheses w plus 11 close parentheses equals 120

w = ................................................... 

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6b
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fraction numerator x minus 2 over denominator 3 end fraction equals 3

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

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7
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Solve.

7 x minus 5 space equals space 16

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

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8
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Solve the equation.

6 minus 2 x equals 3 x

x space= ............................................

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1
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Solve  6 open parentheses 3 minus 2 x close parentheses equals 42

 

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

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2
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Solve  fraction numerator 16 x plus 7 over denominator 3 end fraction equals 5

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3
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Solve  8 x plus 6 equals 2 open parentheses 9 plus x close parentheses

 

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

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4
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Solve these equations.

i) x over 3 equals 18

x equals............................[1]

ii) 5 x plus 18 equals 8

x equals...............................[2]

iii) 12 x minus 3 equals 4 x plus 21

x equals............................[2]

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5
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Solve.

5 open parentheses 2 x plus 4 close parentheses equals 85

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

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6
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Solve these equations.

i) 5 x equals negative 30

x space equals space................................................. space left square bracket 1 right square bracket

ii) 4 x minus 2 equals 28

x space equals space................................................. space left square bracket 2 right square bracket

iii) 3 open parentheses 2 x plus 7 close parentheses equals 12

x space equals space................................................. space left square bracket 3 right square bracket

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7
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Solve.

i) 10 x equals 5

x = ................................................... [1]

ii) 7 x minus 3 equals 2 x plus 11

x space= ................................................... [2]

iii) 3 open parentheses 2 x minus 1 close parentheses equals 27

x = ................................................... [3]

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8
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Solve these equations.

i) x over 4 equals 20

x = .............................................. [1]

ii) 3 x space minus space 5 space equals space 16

x = .............................................. [2]

iii) 5 left parenthesis 2 x space plus space 1 right parenthesis space equals space 27

x space= .............................................. [3]

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