Edexcel IGCSE Math A Foundation 2.4 B Forming Linear Equations Questions

Practise translating totals, costs, perimeters and grouped quantities into a linear equation and interpreting its solution.

Exam points

represent each worded quantity algebraically before equating it to the stated total
form a cost or perimeter equation with consistent units and like terms collected
solve the equation, then substitute back to calculate the quantity actually requested

[Maximum number: 4]

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

Figure for Question Edexcel IGCSE Math A Foundation 2.4 B Forming Linear Equations Questions question 1 — 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.

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Edexcel IGCSE Math A Foundation 2.4 B Forming Linear Equations Questions question 1