CAIE IGCSE Mathematics Linear and Simultaneous Equations

Practise forming and solving linear or simultaneous equations and rearranging formulae from numerical, geometric and financial contexts.

Exam points

apply inverse operations to isolate an unknown while preserving equality on both sides
translate a written relationship into an equation before solving and checking the context
eliminate or substitute one variable in simultaneous equations and solve for both values

[Maximum number: 3]

(a)

A minibus can be hired from Dhruv's Minibuses.

The cost is $ h per hour plus $ p per passenger.

[ 3 ]

(i)

When the minibus is hired for 3 hours with 10 passengers the cost is $ 61.

Complete the equation.

3 h+10 p=\ldots \ldots \ldots \ldots \ldots \ldots \ldots .

[ 1 ]

(ii)

When the minibus is hired for 5 hours with 8 passengers the cost is $ 80.

Write this information as an equation. =

[ 2 ]

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