IGCSEMaths: ExtendedCIEExam Questions2. Algebra & Graphs2.4 Linear Equations & Inequalities

Syllabus Edition

First teaching 2021

Last exams 2024

|

Linear Equations & Inequalities (CIE IGCSE Maths: Extended)

Exam Questions

53 mins22 questions
Easy
Medium
Hard
1
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Find the integer values that satisfy the inequality 2 space less than space 2 x space less or equal than space 10.

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2
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Solve.

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


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

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3
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Solve.

7 m minus 2 greater or equal than 19

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4
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Solve.

3 w minus 7 equals 32 

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

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5
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Solve the equation  6 x minus 3 equals negative 12.

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

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6
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Solve the equation.

9 f plus 11 equals 3 f plus 23 

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

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1
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Solve the equation fraction numerator 1 minus x over denominator 3 end fraction equals 5.
 

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

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2
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Solve the inequality n space plus space 7 space less than space 5 n space minus space 8.

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3
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Find the integer values of n that satisfy this inequality.

negative 7 less than 4 n less or equal than 8

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4
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Find the integer values of n that satisfy the inequality  15 less or equal than 4 n less than 28.

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5
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Solve  30 plus 2 x equals 3 left parenthesis 3 minus 4 x right parenthesis.
 

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

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6
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Solve 5 x minus 17 equals 7 x plus 3.
 

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

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7
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Solve the equation.

6 space minus space 2 x space equals space 3 x

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

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1
Sme Calculator1 mark

Solve.

15 over x equals negative 3


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

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2
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Solve.

4 open parentheses 5 minus 3 x close parentheses equals 23

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

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3
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Solve the inequality space 3 m plus 12 less or equal than 8 m minus 5.

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4
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Solve the equation space fraction numerator 2 x plus 5 space over denominator 3 minus x end fraction equals 14 over 15.
 

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

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5
Sme Calculator4 marks

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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6
Sme Calculator3 marks

Solve the inequality 3 left parenthesis x minus 2 right parenthesis less than 7 left parenthesis x plus 2 right parenthesis.

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7
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Find the integer values of n that satisfy the inequality space 18 minus 2 n less than 6 n less or equal than 30 plus n.

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8
Sme Calculator3 marks

Solve.

2 over x space equals space fraction numerator space 6 space over denominator 2 space minus space x end fraction

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

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9
Sme Calculator2 marks

Solve.

fraction numerator 1 minus p over denominator 3 end fraction equals 4

p equals................................................ 

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