Linear Equations (Cambridge (CIE) IGCSE Maths: Core)

Solve these equations.

i)

............................[1]

ii)

...............................[2]

iii)

............................[2]

Solve the equation.

= ............................................

Solve.

= ................................................. 

Solve these equations.

i)

ii)

iii)

Solve.

i)

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

ii)

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

iii)

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

Solve these equations.

i)

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

ii)

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

iii)

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

The diagram shows a shape made from rectangles.
The shape has a total area of 517m².

Find the value of .

.....................

In this part, all measurements are in centimetres.

The diagram shows a kite with sides  and . The perimeter of the kite is 33 cm.

Work out the length of a shorter side.

............................................ cm

Rovers, United and City are football teams.

Rovers scoredgoals.
United scored 8 goals more than Rovers.
City scored 3 goals less than twice the number of goals scored by Rovers.

The three teams scored a total of 117 goals.

Write down and solve an equation to find the value of .

= .................................................

In this part, all angles are in degrees.

i) Use the information in the triangle to write down an equation in terms of .

[1]

ii) Solve this equation to find the value of

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

iii) Work out the size of the smallest angle in the triangle.

[2]

i) Navja weighs a parcel with mass kg on her scales. She uses the masses shown to balance the scales.

Work out the value of .

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

ii) Sometimes Navja uses an electronic weighing machine. The machine gives the mass, kg, of a parcel as 12.4kg, correct to the nearest 100g.

Complete this statement about the value of .

.................. ................... [2]

A club is arranging transport for its members.

Speedy Coaches charge $625 plus $15 per member.

The total cost, in dollars, for x members is given by the expression

i) Sporty Coaches charge $117 plus $19 per member.

Write an expression for the total cost, in dollars, for members.

[2]

ii) The total cost is the same for both Speedy Coaches and Sporty Coaches.

Write down an equation and solve it to find .

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

Cara has pencils.
Alice has twice as many pencils as Cara.
Leon has three more pencils than Alice.
The three children have a total of 58 pencils.

Use this information to write down an equation and solve it to find the value of .

= ................................................... 

Esme buys 8 magazines at $2.45 each and y cards at $3.15 each.
Esme spends $60.55 in total.

How many cards does she buy?

Neelum hires a machine to clean carpets.
It costs $25 to hire the machine for the first day and $9 for each extra day after the first day.
Neelum pays a total of $88 to hire the machine.

Work out the total number of days she hires the machine for.