Edexcel IGCSE Math A Higher 2.4 Linear Equations Questions

Practise solving linear equations and using algebraic working to model totals, costs, perimeters and other worded situations.

Exam points

solve one-variable equations with brackets, fractions or unknowns on both sides
form equations from totals, costs or perimeters before calculating the required value

Covered syllabus points

2.4.A Solving linear equations 2.4.B Forming linear equations

[Maximum number: 3]

Solve 5(4-x)=7-3 x
Show clear algebraic working.

[Maximum number: 4]

Work out the number of metal bars that are zinc.

Show clear algebraic working.

[Maximum number: 3]

Solve $\frac{8-2 x}{3}-\frac{2 x-3}{2}=4$ Show clear algebraic working.

\frac{8-2x}{3}-\frac{2x-3}{2}=4

Multiply by 6:

2(8-2x)-3(2x-3)=24

16-4x-6x+9=24

25-10x=24

x=0.1

Final answer:

x=0.1

M1 for a method to deal with fractions, e.g. finding a common denominator or multiplying by a common multiple in a correct equation.
M1 for expanding brackets and multiplying by the common denominator in a correct equation;
condone one error in expansion.
A1 oe, dependent on M1.

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Covered syllabus points

Question 1

Question 2

Question 3