Worksheets to Practice Solving Equations
Combining Like Terms - Using Algebra Tiles
Grades: 6th Grade, 7th Grade

Forming and Solving Linear Equations: a𝑥 = b and 𝑥/a = b
Grades: 6th Grade, IM 1

Forming and Solving Linear Equations: 𝑥 + a = b and 𝑥 - a = b
Grades: 6th Grade, 7th Grade

Introducing Algebra Tiles
Grades: 6th Grade, 7th Grade

Simplify - Using Algebra Tiles
Grades: 6th Grade, 7th Grade

Solving One Step Equations with Algebra Tiles
Grades: 6th Grade

Solving One Step Linear Equations
Grades: 6th Grade

Multiplying 3 Binomials (A)
Grades: 7th Grade, Algebra I

Multiplying 3 Binomials (B)
Grades: 7th Grade, Algebra I

Multiplying Binomials
Grades: 7th Grade, Algebra I

Multiplying Binomials using the Grid Method
Grades: 7th Grade, Algebra I

Solving Two Step Equations with Algebra Tiles
Grades: 7th Grade

Does the Point Lie on the Line?
Grades: 8th Grade

Equations of Proportion - with Three Variables
Grades: 8th Grade, Algebra I, IM 1

Finding the Equation of the Line (C)
Grades: 8th Grade

Solving Proportions Algebraically
Grades: 8th Grade, Algebra I

Solving Simultaneous Equations - Using Substitution
Grades: 8th Grade, IM 2

Speed, Distance, Time - Multi Stage Journeys
Grades: 8th Grade, Algebra I, IM 1

Compound Interest
Grades: Algebra I, IM 1

Estimating Values of Quadratic Equations: Guess and Check (A)
Grades: Algebra I, IM 1

Estimating Values of Quadratic Equations: Guess and Check (B)
Grades: Algebra I, IM 1

Exponential Functions (Graphs and Equations)
Grades: Algebra I, IM 1

Intro to Equations: Find the Value of Each Shape
Grades: Algebra I, IM 1

Iterative Formula
Grades: Algebra I, IM 1

Multiply and Divide Algebraic Fractions (A)
Grades: Algebra I, IM 1

Solving Equation Riddles: "Thinking of a Number"
Grades: Algebra I, IM 1

Solving Equations 15 Minute Challenge
Grades: Algebra I, IM 1

Solving Equations with Unknowns on Both Sides - Using Algebra Tiles
Grades: Algebra I, IM 1

Solving Linear Equations (A)
Grades: Algebra I, IM 1

Solving Linear Equations (B)
Grades: Algebra I, IM 1

Solving Linear Equations (C)
Grades: Algebra I, IM 1

Solving Linear Equations (D)
Grades: Algebra I, IM 1

Solving Linear Equations (Without Negatives)
Grades: Algebra I, IM 1

Solving Linear Equations with 2D Shapes
Grades: Algebra I, IM 1

Solving Linear Equations with Area of Rectangles
Grades: Algebra I, IM 1

Solving Linear Equations with the Distributive Property
Grades: Algebra I, IM 1

Solving Quadratic Equations (A)
Grades: Algebra I, IM 1

Solving Quadratic Equations (B) - By Factoring
Grades: Algebra I, IM 1

Solving Quadratic Equations (C) - By Quadratic Formula
Grades: Algebra I, IM 1

Solving Quadratic Equations (D) - By Completing the Square
Grades: Algebra I, IM 1

Solving Simultaneous Equations - Using Bar Models
Grades: Algebra I, IM 1

Solving Systems of Equations Graphically
Grades: Algebra I, IM 1

Solving Systems of Linear Equations
Grades: Algebra I, IM 1

Writing and Solving Linear Equations (A)
Grades: Algebra I, IM 1

Writing and Solving Linear Equations with Angle Measurements
Grades: Algebra I, IM 1

Writing and Solving Quadratic Equations
Grades: Algebra I, IM 1

Equations of Circles
Grades: Geometry, IM 3

Equations of Lines Tangent to Circles
Grades: Geometry, IM 3

Pythagoras with Radicals
Grades: Algebra II, IM 3

Simplify Equations with Radicals - Using the Grid Method
Grades: Algebra II, IM 3

Solving Quadratic Equations Involving Fractions
Grades: Algebra II, IM 2

Solving Systems of Quadratic Equations
Grades: Algebra II, IM 3

Using Graphs to Solve Non-Linear Equations
Grades: Algebra II, IM 3

All worksheets are created by the team of experienced teachers at Cazoom Math.
What makes a good solving equations worksheet for classroom use?
A quality solving equations worksheet provides a logical progression from simple to complex problems, allowing students to build skills systematically. The best worksheets include a mix of one-step, two-step, and multi-step equations that align with grade-level expectations in the Common Core State Standards.
Teachers often observe that students perform better when worksheets include visual cues or space for showing work steps. Many educators find that solving for x equations worksheets with answers are particularly valuable because students can check their progress independently, building both skills and confidence in their algebraic reasoning abilities.
Which grade levels benefit most from solving equations practice?
Solving equations typically begins in earnest during middle school, around grades 6-8, when students transition from arithmetic to algebraic thinking. However, the complexity and types of equations evolve significantly across grade levels, from simple one-step equations in 6th grade to systems of equations in high school algebra courses.
Teachers notice that students who receive consistent practice with solve the equation worksheet problems throughout middle school show stronger performance in high school algebra. The progression from concrete numerical operations to abstract variable manipulation requires sustained practice, making regular worksheet assignments a valuable component of long-term mathematical development.
How do solving linear equations worksheets differ from other equation types?
Solving linear equations worksheets focus specifically on first-degree equations where variables appear to the first power only. These problems form the foundation for more advanced algebraic concepts and typically involve combining like terms, using the distributive property, and isolating variables through inverse operations.
Many teachers find that students initially confuse linear equations with quadratic or exponential forms, particularly when working with expressions that contain parentheses or fractions. A well-designed solve equation worksheet will clearly distinguish between linear and non-linear problems, helping students recognize the patterns and solution strategies specific to each type of equation they encounter.
How can teachers use solving equations worksheet PDF resources most effectively?
Teachers get the best results when they use solving equations worksheet PDF materials as part of a balanced instructional approach that includes direct instruction, guided practice, and independent work. The PDF format allows for easy customization - teachers can select specific problems or combine worksheets to match their pacing and student needs.
Experienced educators often recommend using these worksheets for formative assessment, homework assignments, and review sessions before tests. The included answer keys enable teachers to provide quick feedback or allow students to self-check their work, which research shows increases learning retention and helps students identify areas needing additional support.
QUICK EXAMPLE: SOLVE THE X IN THE ONE STEP EQUATION
x – 13 = 7
We need to get the x by itself on the left side of the equation and to do that we need to inverse and add 13 on both sides. Follow the next steps:
x – 13 + 13 = 7 + 13
x = 20
TWO STEP EQUATIONS AND HOW TO SOLVE THEM
Quite similar to the one step equation, you need to solve the algebraic equation, and get the variable by itself with no numbers in front of it, by using two steps.
QUICK EXAMPLE: SOLVE THE X IN THE TWO STEP EQUATION
5x + 3 = 28
5x + 3 – 3 = 28 – 3
5x = 25
X = 5
Always check if the solution to the two step equation is right.
5x + 3 = 28
5×5 + 3 = 28
25 + 3 = 28