Algebra Worksheets

Recommended Lessons

Not sure where to start? These are the lessons and games we recommend most to students, parents and teachers on Basic-mathematics.com. Each lesson explains the topic in plain language, walks you through worked examples step by step, and ends with practice so you can check your understanding. Pick one below, or use the menu to find lessons on fractions, algebra, geometry, statistics and more.

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Algebra WorksheetsEvery Topic Covered in Depth

Free algebra worksheets with answer keys, from integers and factors to factoring quadratics and systems of equations. Each page focuses on one topic and covers it from the first easy problems to the most challenging ones, with pictures, models, and word problems. Every topic has a generator that makes a brand-new worksheet every time you click.

  • 10algebra topics
  • 10worksheet generators
  • 25ready-to-print worksheets
  • Freeno sign-up

Numbers and Factors

The building blocks of algebra: integers, factors, and multiples.

Grades 6–7Integer WorksheetsAdding, subtracting, multiplying, and dividing integers, plus comparing integers and absolute value.
  • Four operations
  • Comparing
  • Absolute value
Open the generator →Grades 5–7Greatest Common Factor WorksheetsGCF of two or three numbers by listing factors, prime factorization, and Venn diagrams, plus square tiles and monomials.
  • Venn diagrams
  • Prime factorization
  • Monomials
Open the generator →Grades 5–7Least Common Multiple WorksheetsLCM by listing multiples, prime factorization, Venn diagrams, and jumps on a number line, plus squares made from rectangles.
  • Number lines
  • Venn diagrams
  • Monomials
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Expressions and Equations

The distributive property, writing equations, rearranging formulas, and solving systems of equations.

Grades 6–8Distributive Property WorksheetsExpanding, combining like terms, factoring out a number, and area models, from 4(3 + 5) to 2x(3x + 1).
  • Area models
  • Expanding
  • Factoring
Open the generator →Grades 6–8Writing Equations WorksheetsTurning sentences and word problems into one-step and two-step equations, with bar models and balance scales.
  • Sentences
  • Word problems
  • Bar models
Open the generator →Grades 8–10Literal Equations WorksheetsSolving equations and formulas for a given variable, including area, volume, and interest formulas with labeled shapes.
  • Formulas
  • Shapes
  • Solve for y
Open the generator →Grades 8–10Systems of Equations WorksheetsSolving by graphing, substitution, and elimination, with word problems and systems of three equations.
  • Graphing
  • Elimination
  • Word problems
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Polynomials, Radicals, and Functions

Algebra 1 and Algebra 2 topics: factoring, simplifying radicals, and composing functions.

Grades 8–10Factoring Quadratics WorksheetsFactoring x² + bx + c and ax² + bx + c, special products, and solving by factoring, with the box method and algebra tiles.
  • Box method
  • Algebra tiles
  • Fill-in boxes
Open the generator →Grades 8–10Simplifying Radicals WorksheetsSquare roots, cube roots, and variables, plus adding, multiplying, and rationalizing, with factor trees and right triangles.
  • Factor trees
  • Rationalizing
  • Right triangles
Open the generator →Grades 9–11Composition of Functions WorksheetsEvaluating and finding composite functions, using tables, graphs, and function machines, and decomposing functions.
  • Graphs
  • Function machines
  • Decomposing
Open the generator →

Ready-to-Print Algebra Worksheets

Need a worksheet right now? These fixed algebra worksheets are ready to print, with no settings to choose. They don't come with answer keys, so for a worksheet with an answer key, use the generators above.

Integers (PDF)16 PDF worksheets with numbers from −10 to 10, four for each operation.
Distributive Property12 problems: fill in the blanks, remove parentheses, evaluate, and multiply in your head.Print the worksheet →Greatest Common Factor10 pairs of numbers: list the factors, then find the GCF.Print the worksheet →Least Common Multiple10 pairs of numbers: list the multiples, then find the LCM.Print the worksheet →Writing Equations20 sentences to translate into equations, with all four operations and fractions.Print the worksheet →Literal Equations12 equations and formulas to solve for the variable shown.Print the worksheet →Systems of Equations16 systems: solve them, then decide if a system has one, none, or infinitely many solutions.Print the worksheet →Factoring Quadratic Equations12 problems: fill in missing numbers, then factor completely.Print the worksheet →Simplifying Radical Expressions12 radicals with square, cube, fourth, and fifth roots, some with variables.Print the worksheet →Composition of Functions13 problems: find f ∘ g and g ∘ f, evaluate, and compare compositions.Print the worksheet →

What Every Worksheet Generator Includes

All ten algebra worksheet generators work the same way.

  • An answer key for every worksheetPrinted on its own page, so students never see the answers.
  • New problems every timeClick "New worksheet" for a fresh set of problems.
  • A worksheet codeEnter the same code later to get the exact same worksheet back.
  • Share with a linkSend another teacher or a parent the same problems.
  • Print or save as PDFEvery worksheet fits on one page.
  • Four difficulty levelsFrom the first easy problems to challenge problems.

How It Works

Make a new algebra worksheet in three steps.

  1. Choose a topicOpen a worksheet page and pick what you want to practice, such as substitution, factoring with the box method, or simplifying square roots.
  2. Set it up your wayChoose the difficulty, the number of problems, and options like answer format or special cases.
  3. Print the worksheet and answer keyPrint or save as a PDF. Click "New worksheet" any time for fresh problems.
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