High School Solving Equations Worksheets

High School Solving Equations Worksheets help students master one of the most essential skills in algebra. Our US curriculum experts created this collection for high school teachers, parents, and students who need structured practice across all equation types. The worksheets build solving strategies step by step, from one-step linear equations through complex quadratic and simultaneous systems. Each sheet aligns with US high school standards and includes complete answer keys with full working steps. Students develop the procedural fluency required for advanced coursework while learning to think strategically about mathematical problems. The progression mirrors natural algebraic development, starting with concrete visual models before moving to abstract symbolic manipulation. Every worksheet is designed for immediate classroom use, whether for homework, assessment preparation, differentiation, or targeted skill review throughout the academic year.

Compound Interest

Equations of Circles

Equations of Lines Tangent to Circles

Equations of Proportion - with Three Variables

Estimating Values of Quadratic Equations: Guess and Check (A)

Estimating Values of Quadratic Equations: Guess and Check Worksheet suitable for students learning Algebra I

Estimating Values of Quadratic Equations: Guess and Check (B)

Exponential Functions (Graphs and Equations)

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

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

Intro to Equations: Find the Value of Each Shape

$Intro to Equations: Find the Value of Each Shape Worksheet suitable for students in High School$

Iterative Formula

$Iterative Formula Worksheet suitable for students learning Algebra I$

Multiply and Divide Algebraic Fractions (A)

$Multiply and Divide Algebraic Fractions (A) Worksheet suitable for High School Students$

Multiplying 3 Binomials (A)

Multiplying 3 Binomials Worksheet suitable for students in 7th Grade

Multiplying 3 Binomials (B)

Multiplying Binomials

Multiplying Binomials using the Grid Method

Pythagoras with Radicals

$Pythagoras with Radicals worksheet$

Simplify Equations with Radicals - Using the Grid Method

$Simplify Equations with Radicals - Using the Grid Method worksheet$

Solving Equation Riddles: "Thinking of a Number"

Solving Equations 15 Minute Challenge

Solving Equations with Unknowns on Both Sides - Using Algebra Tiles

Solving Linear Equations (A)

Solving Linear Equations Worksheet suitable for students learning Algebra I

Solving Linear Equations (B)

Solving Linear Equations (C)

Solving Linear Equations (D)

Solving Linear Equations (Without Negatives)

Solving Linear Equations with 2D Shapes

$Solving Linear Equations with 2D Shapes worksheet$

Solving Linear Equations with Area of Rectangles

$Solving Linear Equations with Area of Rectangles worksheet$

Solving Linear Equations with the Distributive Property

$Solving Linear Equations with the Distributive Property Worksheet suitable for students learning Algebra I$

Solving Proportions Algebraically

Solving Quadratic Equations (A)

Solving Quadratic Equations - By Completing the Square Worksheet suitable for students learning Algebra I

Solving Quadratic Equations (B) - By Factoring

Solving Quadratic Equations - By Factoring Worksheet suitable for students learning Algebra I

Solving Quadratic Equations (C) - By Quadratic Formula

Solving Quadratic Equations - By Quadratic Formula Worksheet suitable for students learning Algebra I

Solving Quadratic Equations (D) - By Completing the Square

Solving Quadratic Equations Worksheet suitable for students learning Algebra I

Solving Quadratic Equations Involving Fractions

$Solving Quadratic Equations Involving Fractions worksheet$

Solving Simultaneous Equations - Using Bar Models

$Solving Simultaneous Equations - Using Bar Models worksheet$

Solving Simultaneous Equations - Using Substitution

$Solving Simultaneous Equations - Using Substitution Worksheet Suitable for Students in 8th Grade and IM 2$

Solving Systems of Equations Graphically

$Solving Systems of Equations Graphically worksheet$

Solving Systems of Linear Equations

Solving Systems of Quadratic Equations

Speed, Distance, Time - Multi Stage Journeys

Using Graphs to Solve Non-Linear Equations

Writing and Solving Linear Equations (A)

Writing and Solving Linear Equations with Angle Measurements

$Writing and Solving Linear Equations Worksheet suitable for students in High School$

Writing and Solving Quadratic Equations

All worksheets are created by the team of experienced teachers at Cazoom Math.

Tired of Mistakes? Our Ready-to-Print Solving Equations Activities Will Improve Your Mathematical Progress

Students arrive at high school with basic equation-solving skills from middle school. These worksheets extend that foundation by introducing variables on both sides, multi-step problems, and equations that require the use of the distributive property. Each new challenge teaches students to think strategically about which operation to apply first. Regular practice builds the procedural fluency students need for success in geometry, trigonometry, and calculus. The progression from linear to quadratic equations mirrors the natural development of algebraic reasoning. Students learn to recognize equation structures and select appropriate solution methods. This preparation proves essential when they encounter equations embedded in functions, inequalities, and applied problems throughout high school.

From Algebra Tiles to Linear Equations: What Cazoom Math High School Algebra Worksheets Cover

This collection guides students from concrete visual models to abstract symbolic reasoning. Algebra tiles introduce the concept of balancing equations before learners progress to formal notation. Each worksheet includes detailed, step-by-step answers that explain every calculation and method. Covering one- and two-step equations, variables on both sides, systems of equations, and applications in geometry and real-life contexts, this collection helps students develop fluency, logic, and confidence in solving equations across multiple levels of complexity.

Want Better Results? Download Our High School Solving Equations Resources Today

The sequencing is already built in, which eliminates hours of planning work. The system enables teachers to match worksheets to student abilities and make changes when students demonstrate skill progression. The solutions demonstrate step-by-step logical reasoning, which allows students to develop their ability to communicate mathematically and correct their own work. The collection contains diverse content that helps students at different learning levels by providing basic review material for struggling students and challenging content for advanced learners. Students can practice math without distraction through clear layouts that eliminate the need to read instructions. Teachers spend less time grading because answer keys provide students with complete and organized solutions, allowing them to focus on other aspects of instruction.

From Cooking to Programming: Where these skills show up in real life

Equation solving underlies nearly every quantitative decision people make after school. Anyone calculating an unknown from known information uses this mathematical thinking. Professionals across various fields, including engineering, science, finance, and technology, rely on these skills on a daily basis.

• Calculating loan payments and financing

• Finding break-even points for a business

• Adjusting medication dosages for patients

• Solving physics problems with forces