Solving Equations Worksheets

Equations come in many forms and there is a lot to untangle. Students of all abilities are tasked with solving simultaneous equations graphically, solving quadratic equations, solving linear equations, solving equations with brackets and more as part of their school curriculum.

Luckily for them, our solving equations worksheets with answers are here to help work out those complicated sums through hands on practice. Solving linear and quadratic equations has never been easier with the help of our worksheets with answers.

Forming and Solving Linear Equations: a𝑥 = b and 𝑥/a = b

Year groups: 7, 8
Forming and Solving Linear Equations: a𝑥 = b and 𝑥/a = b Worksheet suitable for Year 7 and Year 8 students

Forming and Solving Linear Equations: x + a = b and x – a = b

Year groups: 7, 8
Forming and Solving Linear Equations: 𝑥 + a = b and 𝑥 - a = b Worksheet suitable for Year 7 and Year 8 students

Manipulating Equations

Year groups: 7, 8
Manipulating Equations Worksheet Suitable for Year 7 and Year 8 Students

Solving Equations with Algebraic Perimeters

Year groups: 7, 8
Solving Equations with Algebraic Perimeters Worksheet created for students in KS3

Solving Linear Equations (A)

Year groups: 7, 8
Solving Linear Equations Worksheet suitable for students in KS3

Solving Linear Equations (B)

Year groups: 7, 8
Solving Linear Equations Worksheet fit for students in year 7 and year 8

Solving One Step Equations with Algebra Tiles

Year groups: 7, 8
Solving One Step Equations with Algebra Tiles Worksheet Suitable for Year 7 and Year 8 Students

Solving One Step Linear Equations

Year groups: 7
Solving One Step Linear Equations Worksheet Suitable for Students in Year 7

Solving Two Step Equations with Algebra Tiles

Year groups: 7, 8
Solving Two Step Equations with Algebra Tiles Worksheet Suitable for Year 7 and Year 8 Students

Find the Values

Year groups: 8, 9
Find the Values Worksheet Suitable for Year 8 and Year 9 Students

Forming and Solving Equations

Year groups: 8, 9
Forming and Solving Equations Worksheet suitable for students in KS3

Forming and Solving Equations involving Angles

Year groups: 8, 9
Forming and Solving Equations involving Angles Worksheet suitable for students in KS3

I Think of A Number Problems

Year groups: 8, 9
I Think of A Number Problems Worksheet created for students in KS3

Solving Equations – Unknowns on Both Sides

Year groups: 8, 9
Solving Equations - Unknowns on Both Sides Worksheet suitable for Year 8 and Year 9 Students

Solving Equations 15 Minute Challenge (B)

Year groups: 8, 9
Solving Linear Equations - 15 Minute Challenge (B) Worksheet suitable for Year 8 and Year 9 students

Solving Equations Involving Area of Rectangles

Year groups: 8, 9
Solving Equations Involving Area of Rectangles Worksheet fit for students in year 8 and year 9

Solving Equations Involving Brackets

Year groups: 8, 9
Solving Equations Involving Brackets Worksheet perfect for students in year 8 and year 9

Solving Equations Involving Fractions

Year groups: 8, 9
Cazoom Maths Solving Equations Involving Fractions Worksheet suitable for Year 8 and Year 9 students

Solving Equations with Unknowns on Both Sides – Using Algebra Tiles

Year groups: 8, 9, 10
Solving Equations with Unknowns on Both Sides Using Algebra Tiles Worksheet Suitable for Year 8, Year 9, and Year 10 Students

Solving Linear Equations (C)

Year groups: 8, 9
Solving Linear Equations Worksheet created for students in KS3

Solving Linear Equations (Without Negatives)

Solving Linear Equations (Without Negatives) Worksheet perfect for students in year 8 and year 9

Trial and Improvement (A)

Year groups: 8, 9
Trial and Improvement Worksheet fit for students in year 8 and year 9

Trial and Improvement (B)

Year groups: 8, 9
Trial and Improvement Worksheet perfect for students in year 8 and year 9

Algebraic Angles in Parallel Lines

Year groups: 9
Algebraic Angles in Parallel Lines Worksheet for students in Year 9

Solving Equations 15 Minute Challenge (A)

Year groups: 9, 10
Solving Linear Equations - 15 Minute Challenge (A) Worksheet suitable for Year 9 and Year 10 students

Solving Linear Equations (D)

Year groups: 9, 10
Solving Linear Equations Worksheet suitable for students in KS3 and KS4

Solving Simultaneous Equations Graphically (A)

Year groups: 9, 10
Solving Simultaneous Equations Graphically (A) Worksheet suitable for Year 9 and Year 10 students

Form and Solve Linear Simultaneous Equations

Year groups: 10, 11
Cazoom Maths Form and Solve Linear Simultaneous Equations Worksheet suitable for Year 10 and Year 11 students

Forming and Solving Quadratic Equations

Year groups: 10, 11
Forming and Solving Equations Worksheet suitable for students in KS4

Iteration

Year groups: 10, 11
Iteration Worksheet created for students in KS4

Quadratic Expressions and Equations Involving Areas

Year groups: 10, 11
Quadratic Expressions and Equations Involving Areas Worksheet | Printable PDF Year 10 and Year 11 Algebra Worksheet

Solving Equations – Unknowns are Indices

Year groups: 10, 11
Solving Equations - Unknowns are Indices Worksheet Suitable for Year 10 and Year 11 Students

Solving Linear Simultaneous Equations

Year groups: 10, 11
Solving Simultaneous Equations Worksheet created for students in Year 10 and Year 11

Solving Linear Simultaneous Equations – Change One Equation

Year groups: 10, 11
Solving Linear Simultaneous Equations - Change One Equation Worksheet suitable for Year 10 and Year 11 students

Solving Linear Simultaneous Equations – Same Coefficients

Year groups: 10, 11
Cazoom Maths Solving Linear Simultaneous Equations - Same Coefficients Worksheet suitable for Year 10 and Year 11 students

Solving Linear Simultaneous Equations – Three Methods

Year groups: 10, 11
Solving Linear Simultaneous Equations - Three Methods Worksheet suitable for Year 10 and Year 11 students

Solving Non-linear Simultaneous Equations

Year groups: 10, 11
Solving Non-linear Simultaneous Equations Worksheet created for students in KS4

Solving Quadratic Equations (A)

Year groups: 10, 11
Solving Quadratic Equations Worksheet fit for students in Year 10 and Year 11

Solving Quadratic Equations (B) (by Factorising)

Year groups: 10, 11
Solving Quadratic Equations (by Factorising) Worksheet suitable for students in Year 10 and Year 11

Solving Quadratic Equations (C) (by Quadratic Formula)

Year groups: 10, 11
Solving Quadratic Equations (by Quadratic Formula) Worksheet fit for students in year 10 and year 11

Solving Quadratic Equations (D) (by Completing the Square)

Year groups: 10, 11
Solving Quadratic Equations (by Completing the Square) Worksheet perfect for students in year 10 and year 11

Solving Quadratic Equations (E) – Using all Three Methods

Year groups: 10, 11
Solving Quadratic Equations (E) - Using all Three Methods Worksheet suitable for Year 10 and Year 11 students

Solving Simultaneous Equations – Using Substitution

Year groups: 10, 11
Solving Simultaneous Equations - Using Substitution Worksheet Suitable for Students in Year 10 and Year 11

Solving Simultaneous Equations Graphically (B)

Year groups: 10, 11
Solving Simultaneous Equations Graphically (B) Worksheet suitable for Year 10 and Year 11 students

Using Graphs to Solve Non-linear Еquations

Year groups: 10, 11
Using Graphs to Solve Non-linear Еquations Worksheet fit for students in year 10 and year 11

Printable Simplification Worksheets with Answers

You can download our printable, specially curated PDF algebra simplification worksheets with separate answers to support maths learning at home as well as at school. Each of our worksheets includes clear and easy-to-understand instructions. They also have space for working out. Your children will be able to practise important skills like Algebra Addition Pyramids, Algebra Multiplication Pyramids, Algebraic Perimeters, Collecting Like Terms, Algebra Tiles, and more. These worksheets are ideal for building fluency and are great for both beginners and confident learners.

What Is Algebraic Simplification?

Algebraic simplification is nothing but the process of making algebraic expressions easier to read and solve. Your students will learn how to simplify and reduce complex expressions. This concept is used in different areas of algebra and helps prepare your students for harder maths topics in future. Therefore, our algebra simplification resources provide your pupils lots of chances to practise these skills in easy-to-follow steps. These worksheets support students in Year 7 to Year 11 maths learners, helping them develop confidence when working with algebra equations.

Why Is Simplifying Algebra Important?

Simplifying expressions is one of the most important skills in mastering early algebra skills. Your children will be able to use this concept in many areas, such as solving equations, expanding brackets, and factorising expressions. When students become confident with simplification, they can tackle more complex problems with ease. Our maths experts have specifically curated these algebra simplification worksheets to help your pupils improve through repeated practice. We offer resources for both beginners and more advanced learners. Therefore, these worksheets are perfect for reinforcing lessons. Whether you’re a teacher planning a unit on expressions or a parent helping with homework, these worksheets are a useful and reliable resource.