# Forming and solving equations worksheet

Last updated: 15/11/2023
Contributor: Teachit Author
Main Subject
Key stage
Category
Algebra: Linear equations
Inside
Resource type
Worksheet

Help students practice forming algebraic expressions, manipulating and rearranging formulae, and simplifying and solving equations with this worksheet for KS3 and KS4.

Featuring nine word problems, including real-world scenarios, students use problem-solving skills to form equations and solve them. Students will also utilise skills from other areas of maths, with questions that include solving consecutive number problems and finding the perimeter of the shape or the size of the angle.

With answers included, this simple activity can be used with KS3 or GCSE maths classes and is suitable for teaching with AQA, Edexcel and OCR exam boards.

Sample question 1: My father is 47 years old. I am x years old.

a. How old will my father be in y years’ time?

b. How old will I be in y years’ time?

Sample question 2: Sandra thinks of a number, n. She trebles it and subtracts five to get a new number. Her new number is 16.

a. Form an equation to show this information.

b. If Sandra had doubled her original number and added five, what would her new number have been?

Sample question 3: In a triangle, the largest angle is three times the size of the smallest angle and 30º larger than the other angle.

a.    Form an equation that shows the sum of all three angles.

b.    How big is the smallest angle?

c.    How big is the largest angle?

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### All reviews

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tell us what you think

Arsh Kaur

18/01/2022

How do you go to page 2

Bob Smith

01/12/2019

Brilliant resource for my year 9s. Thank you

Sue Hardy

05/01/2019

16/09/2018

tell us what you think

Arsh Kaur

18/01/2022

How do you go to page 2

Bob Smith

01/12/2019

Brilliant resource for my year 9s. Thank you

Sue Hardy

05/01/2019

16/09/2018

This is exactly what I needed and thanks for the answers too

04/05/2017

Just What I needed for my Year 9 lesson Thankyou

10/10/2016

The answers can be found on page 2.

Helen Kennedy, Teachit Maths Editor

04/05/2015