CAIE IGCSE Mathematics Core C2.5 Equations

Covered syllabus points

C2.5.1 Construct expressions, equations and formulas C2.5.2 Solve linear equations C2.5.3 Solve simultaneous linear equations C2.5.4 Change the subject of simple formulas

[Maximum number: 2]

Solve.

6 x-5=2 x+13

$4\frac12$ , 4.5 or $\frac92$

M1 for 6x-2x=13+5 or better.

[Maximum number: 3]

Solve the simultaneous equations.
$\begin{aligned}3x-5y&=22\\7x+10y&=8\end{aligned}$ $\begin{aligned}x&=\\y&=\end{aligned}$

$\begin{aligned}x&=4\\y&=-2\end{aligned}$

M1 for correct method to eliminate one variable.
A1 for one correct answer.
If M0 scored, SC1 for 2 values satisfying one of the original equations.

[Maximum number: 2]

Rearrange the formula to make t the subject.

w=7 t-5

$\frac{w+5}{7}$
oe final answer

M1 for a correct first step: w+5=7t oe or $\frac{w}{7}=t-\frac57$ oe.

[Maximum number: 2]

At a cinema, an adult ticket costs $ a and a child ticket costs $ c.

(a)

Farah buys 3 adult tickets and 4 child tickets for $ 38.50.

Complete the equation.

3 a+4 c=\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots .

[ 1 ]

(b)

Hana buys 6 adult tickets and 5 child tickets for $ 65.00.

Write down another equation in terms of a and c.

[ 1 ]

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CAIE IGCSE Mathematics Core C2.5 Equations Topic Practice

Covered syllabus points

Question 1

Question 2

Question 3

Question 4

Question (a)

Question (b)