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: aπ‘₯ = b and π‘₯/a = b

Year groups: 7, 8

Preview of Forming and Solving Linear Equations:  aπ‘₯ = b and π‘₯/a = b

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

Year groups: 7, 8

Preview of Forming and Solving Linear Equations: x + a = b and x - a = b

Manipulating Equations

Year groups: 7, 8

Preview of Manipulating Equations

Solving Equations with Algebraic Perimeters

Year groups: 7, 8

Preview of Solving Equations with Algebraic Perimeters

Solving Linear Equations (A)

Year groups: 7, 8

Preview of Solving Linear Equations (A)

Solving Linear Equations (B)

Year groups: 7, 8

Preview of Solving Linear Equations (B)

Solving One Step Equations with Algebra Tiles

Year groups: 7, 8

Preview of Solving One Step Equations with Algebra Tiles

Solving One Step Linear Equations

Year groups: 7

Preview of Solving One Step Linear Equations

Solving Two Step Equations with Algebra Tiles

Year groups: 7, 8

Preview of Solving Two Step Equations with Algebra Tiles

Find the Values

Year groups: 8, 9

Preview of Find the Values

Forming and Solving Equations

Year groups: 8, 9

Preview of Forming and Solving Equations

Forming and Solving Equations involving Angles

Year groups: 8, 9

Preview of Forming and Solving Equations involving Angles

I Think of A Number Problems

Year groups: 8, 9

Preview of I Think of A Number Problems

Solving Equations - Unknowns on Both Sides

Year groups: 8, 9

Preview of Solving Equations - Unknowns on Both Sides

Solving Equations 15 Minute Challenge (B)

Year groups: 8, 9

Preview of Solving Equations 15 Minute Challenge (B)

Solving Equations Involving Area of Rectangles

Year groups: 8, 9

Preview of Solving Equations Involving Area of Rectangles

Solving Equations Involving Brackets

Year groups: 8, 9

Preview of Solving Equations Involving Brackets

Solving Equations Involving Fractions

Year groups: 8, 9

Preview of Solving Equations Involving Fractions

Solving Equations with Unknowns on Both Sides - Using Algebra Tiles

Year groups: 8, 9, 10

Preview of Solving Equations with Unknowns on Both Sides - Using Algebra Tiles

Solving Linear Equations (C)

Year groups: 8, 9

Preview of Solving Linear Equations (C)

Solving Linear Simultaneous Equations

Year groups: 8, 9

Preview of Solving Linear Simultaneous Equations

Solving Linear Simultaneous Equations - Change One Equation

Year groups: 8, 9

Preview of Solving Linear Simultaneous Equations - Change One Equation

Solving Linear Simultaneous Equations - Same Coefficients

Year groups: 8, 9

Preview of Solving Linear Simultaneous Equations - Same Coefficients

Trial and Improvement (A)

Year groups: 8, 9

Preview of Trial and Improvement (A)

Trial and Improvement (B)

Year groups: 8, 9

Preview of Trial and Improvement (B)

Algebraic Angles in Parallel Lines

Year groups: 9

Preview of Algebraic Angles in Parallel Lines

Solving Equations 15 Minute Challenge (A)

Year groups: 9, 10

Preview of Solving Equations 15 Minute Challenge (A)

Solving Linear Equations (D)

Year groups: 9, 10

Preview of Solving Linear Equations (D)

Solving Linear Simultaneous Equations - Three Methods

Year groups: 9, 10

Preview of Solving Linear Simultaneous Equations - Three Methods

Solving Quadratic Equations (A)

Year groups: 9, 10

Preview of Solving Quadratic Equations (A)

Solving Quadratic Equations (B) (by Factorising)

Year groups: 9, 10

Preview of Solving Quadratic Equations (B) (by Factorising)

Solving Simultaneous Equations Graphically (A)

Year groups: 9, 10

Preview of Solving Simultaneous Equations Graphically (A)

Solving Simultaneous Equations Graphically (B)

Year groups: 9, 10

Preview of Solving Simultaneous Equations Graphically (B)

Form and Solve Linear Simultaneous Equations

Year groups: 10, 11

Preview of Form and Solve Linear Simultaneous Equations

Forming and Solving Quadratic Equations

Year groups: 10, 11

Preview of Forming and Solving Quadratic Equations

Iteration

Year groups: 10, 11

Preview of Iteration

Quadratic Expressions and Equations Involving Areas

Year groups: 10, 11

Preview of Quadratic Expressions and Equations Involving Areas

Solving Equations - Unknowns are Indices

Year groups: 10, 11

Preview of Solving Equations - Unknowns are Indices

Solving Non-linear Simultaneous Equations

Year groups: 10, 11

Preview of Solving Non-linear Simultaneous Equations

Solving Quadratic Equations (C) (by Quadratic Formula)

Year groups: 10, 11

Preview of Solving Quadratic Equations (C) (by Quadratic Formula)

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

Year groups: 10, 11

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

Solving Quadratic Equations (E) - Using all Three Methods

Year groups: 10, 11

Preview of Solving Quadratic Equations (E) - Using all Three Methods

Solving Simultaneous Equations - Using Substitution

Year groups: 10, 11

Preview of Solving Simultaneous Equations - Using Substitution

Using Graphs to Solve Non-linear Equations

Year groups: 10, 11

Preview of Using Graphs to Solve Non-linear Equations

Solving Linear Equations (Without Negatives)

Preview of Solving Linear Equations (Without Negatives)

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.

To isolate m, you will multiply both sides by v.