Edexcel IGCSE Math A Foundation 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]

(a)

Solve $\frac{k}{4}=7$

[ 1 ]

$\frac{k}{4}=7$ k=28

Final answer:
28

(b)

Solve 2 g-3=6

[ 2 ]

2g-3=62g=9 $g=\frac92=4.5$

Final answer:
4.5

Equivalent answers such as $\frac92$ or $4\frac12$ are accepted.

[Maximum number: 4]

The diagram shows a rectangle and an isosceles triangle.
All measurements are in centimetres.

Figure for Question 2 — Edexcel IGCSE Math A Foundation

Diagram NOT accurately drawn

The perimeter of the rectangle is equal to 2 times the perimeter of the triangle.

Work out the value of x.

Show clear algebraic working.

(4x+1)+(4x+1)+(2x+2)+(2x+2)=2[(x+3)+(x+3)+2x]

12x+6=8x+12

4x=6

x=1\frac12

Final answer:

1\frac12

M1 for a correct perimeter equation.
M2 for both perimeters correctly represented, or one perimeter correct and twice the perimeter of the triangle.
If not M2, award M1 dep on M1 for correct simplification of all x terms or all number terms.
A1 for 1.5, $\frac64$ , $\frac32$ , or $1\frac12$ , from correct algebraic working.

[Maximum number: 1]

Solve 5 d=40

$5d=40\quad\Rightarrow\quad d=8$

Final answer:
8

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Covered syllabus points

Question 1

Question (a)

Question (b)

Question 2

Question 3