Success TutoringWorksheets

Free Algebra Worksheets — All Year Levels

91 free algebra resources. Patterns, expressions, equations, functions and graphs. Typically taught from Year 6 to Year 12.

  • Worksheet

    Kindergarten / Foundation Number Patterns Worksheet — Getting Started

    Continue patterns, find the rule and work out missing terms. A gentle first step with small numbers and plenty of space. This Kindergarten…

    Difficulty
    Getting started
    Time
    10 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 1 Number Patterns Worksheet — Level 1

    Continue patterns, find the rule and work out missing terms. Builds confidence with the core skill before adding complexity. This Year 1…

    Difficulty
    Level 1 · Easier
    Time
    10 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 1 Number Patterns Worksheet — Level 1

    Continue patterns, find the rule and work out missing terms. Builds confidence with the core skill before adding complexity. This Year 1…

    Difficulty
    Level 1 · Easier
    Time
    10 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 2 Number Patterns Worksheet — Level 1

    Continue patterns, find the rule and work out missing terms. Builds confidence with the core skill before adding complexity. This Year 2…

    Difficulty
    Level 1 · Easier
    Time
    10 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 2 Number Patterns Worksheet — Level 1

    Continue patterns, find the rule and work out missing terms. Builds confidence with the core skill before adding complexity. This Year 2…

    Difficulty
    Level 1 · Easier
    Time
    10 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 2 Number Patterns Worksheet — Level 2

    Continue patterns, find the rule and work out missing terms. Expected-level practice for this year group. This Year 2 worksheet has 10…

    Difficulty
    Level 2 · Standard
    Time
    10 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 3 Number Patterns Worksheet — Level 2

    Continue patterns, find the rule and work out missing terms. Expected-level practice for this year group. This Year 3 worksheet has 10…

    Difficulty
    Level 2 · Standard
    Time
    10 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 4 Number Patterns Worksheet — Level 3

    Continue patterns, find the rule and work out missing terms. A challenge set for students ready to stretch further. This Year 4 worksheet…

    Difficulty
    Level 3 · Challenge
    Time
    10 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 5 Number Patterns Worksheet — Level 3

    Continue patterns, find the rule and work out missing terms. A challenge set for students ready to stretch further. This Year 5 worksheet…

    Difficulty
    Level 3 · Challenge
    Time
    10 min
    Questions
    10 questions
    Answers
    Answers included
  • Study Guide

    Algebra Basics: Expressions

    An introduction to algebra for Year 7: what pronumerals are, how to read and write expressions, substituting numbers for letters, and…

    Difficulty
    Level 2 · Standard
    Time
    20 min
  • Worksheet

    Year 7 Simplifying Expressions (Like Terms) Worksheet — Level 1

    Collect like terms and simplify algebraic expressions. Builds confidence with the core skill before adding complexity. This Year 7…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    14 questions
    Answers
    Answers included
  • Worksheet

    Year 7 Solving Linear Equations Worksheet — Level 1

    One-step, two-step and equations with brackets or variables on both sides. Builds confidence with the core skill before adding complexity.…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 7 Simplifying Expressions (Like Terms) Worksheet — Level 1 (Set 2)

    Collect like terms and simplify algebraic expressions. Builds confidence with the core skill before adding complexity. This Year 7…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    14 questions
    Answers
    Answers included
  • Worksheet

    Year 7 Simplifying Expressions (Like Terms) Worksheet — Level 1

    Collect like terms and simplify algebraic expressions. Builds confidence with the core skill before adding complexity. This Year 7…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    14 questions
    Answers
    Answers included
  • Worksheet

    Year 7 Solving Linear Equations Worksheet — Level 1

    One-step, two-step and equations with brackets or variables on both sides. Builds confidence with the core skill before adding complexity.…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 7 Substitution Worksheet — Level 1

    Substitute values into expressions and formulas and evaluate. Builds confidence with the core skill before adding complexity. This Year 7…

    Difficulty
    Level 1 · Easier
    Time
    10 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 8 Simplifying Expressions (Like Terms) Worksheet — Level 1

    Collect like terms and simplify algebraic expressions. Builds confidence with the core skill before adding complexity. This Year 8…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    14 questions
    Answers
    Answers included
  • Worksheet

    Year 8 Solving Linear Equations Worksheet — Level 1

    One-step, two-step and equations with brackets or variables on both sides. Builds confidence with the core skill before adding complexity.…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 8 Substitution Worksheet — Level 1

    Substitute values into expressions and formulas and evaluate. Builds confidence with the core skill before adding complexity. This Year 8…

    Difficulty
    Level 1 · Easier
    Time
    10 min
    Questions
    12 questions
    Answers
    Answers included
  • Study Guide

    Solving Linear Equations

    Explains the balance method for solving equations: do the same thing to both sides using inverse operations. Builds from one-step…

    Difficulty
    Level 2 · Standard
    Time
    20 min
  • Worksheet

    Year 8 Simplifying Expressions (Like Terms) Worksheet — Level 2

    Collect like terms and simplify algebraic expressions. Expected-level practice for this year group. This Year 8 worksheet has 14 questions…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    14 questions
    Answers
    Answers included
  • Worksheet

    Year 8 Solving Linear Equations Worksheet — Level 2

    One-step, two-step and equations with brackets or variables on both sides. Expected-level practice for this year group. This Year 8…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 8 Solving Linear Equations Worksheet — Level 2 (Set 2)

    One-step, two-step and equations with brackets or variables on both sides. Expected-level practice for this year group. This Year 8…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 8 Simplifying Expressions (Like Terms) Worksheet — Level 2

    Collect like terms and simplify algebraic expressions. Expected-level practice for this year group. This Year 8 worksheet has 14 questions…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    14 questions
    Answers
    Answers included
  • Worksheet

    Year 8 Solving Linear Equations Worksheet — Level 2

    One-step, two-step and equations with brackets or variables on both sides. Expected-level practice for this year group. This Year 8…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 8 Expanding Brackets Worksheet — Level 1

    Expand single brackets, then binomial products. Builds confidence with the core skill before adding complexity. This Year 8 worksheet has…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 9 Simplifying Expressions (Like Terms) Worksheet — Level 2

    Collect like terms and simplify algebraic expressions. Expected-level practice for this year group. This Year 9 worksheet has 14 questions…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    14 questions
    Answers
    Answers included
  • Worksheet

    Year 9 Solving Linear Equations Worksheet — Level 2

    One-step, two-step and equations with brackets or variables on both sides. Expected-level practice for this year group. This Year 9…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 9 Expanding Brackets Worksheet — Level 1

    Expand single brackets, then binomial products. Builds confidence with the core skill before adding complexity. This Year 9 worksheet has…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Study Guide

    Linear Graphs: Gradient and Intercept

    Explains the y = mx + c form of a straight line for Year 9: what the gradient and y-intercept mean, how to calculate the gradient from two…

    Difficulty
    Level 2 · Standard
    Time
    20 min
  • Worksheet

    Year 9 Factorising and Solving Quadratics Worksheet — Level 1

    Factorise monic quadratics and solve quadratic equations by factorising. Builds confidence with the core skill before adding complexity.…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 9 Simultaneous Equations Worksheet — Level 1

    Solve pairs of linear equations by elimination or substitution. Builds confidence with the core skill before adding complexity. This Year…

    Difficulty
    Level 1 · Easier
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    Year 9 Solving Linear Equations Worksheet — Level 3

    One-step, two-step and equations with brackets or variables on both sides. A challenge set for students ready to stretch further. This…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 10 Factorising and Solving Quadratics Worksheet — Level 1

    Factorise monic quadratics and solve quadratic equations by factorising. Builds confidence with the core skill before adding complexity.…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 10 Simultaneous Equations Worksheet — Level 1

    Solve pairs of linear equations by elimination or substitution. Builds confidence with the core skill before adding complexity. This Year…

    Difficulty
    Level 1 · Easier
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    Year 10 Solving Linear Equations Worksheet — Level 3

    One-step, two-step and equations with brackets or variables on both sides. A challenge set for students ready to stretch further. This…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 10 Expanding Brackets Worksheet — Level 2

    Expand single brackets, then binomial products. Expected-level practice for this year group. This Year 10 worksheet has 12 questions and…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 9 Factorising and Solving Quadratics Worksheet — Level 1

    Factorise monic quadratics and solve quadratic equations by factorising. Builds confidence with the core skill before adding complexity.…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 9 Simultaneous Equations Worksheet — Level 1

    Solve pairs of linear equations by elimination or substitution. Builds confidence with the core skill before adding complexity. This Year…

    Difficulty
    Level 1 · Easier
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    Year 9 Solving Linear Equations Worksheet — Level 3

    One-step, two-step and equations with brackets or variables on both sides. A challenge set for students ready to stretch further. This…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    Year 9 Expanding Brackets Worksheet — Level 2

    Expand single brackets, then binomial products. Expected-level practice for this year group. This Year 9 worksheet has 12 questions and…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Study Guide

    Simultaneous Equations: Substitution and Elimination

    Shows Year 10 students how to solve a pair of linear equations by substitution and by elimination, including when to multiply an equation…

    Difficulty
    Level 2 · Standard
    Time
    20 min
  • Cheat Sheet

    Quadratics Cheat Sheet: Factorising and Solving

    A one-page summary of everything needed to factorise and solve quadratic equations: the sum-and-product method, common factors, difference…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
  • Worksheet

    Year 10 Factorising and Solving Quadratics Worksheet — Level 2

    Factorise monic quadratics and solve quadratic equations by factorising. Expected-level practice for this year group. This Year 10…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 10 Simultaneous Equations Worksheet — Level 2

    Solve pairs of linear equations by elimination or substitution. Expected-level practice for this year group. This Year 10 worksheet has 8…

    Difficulty
    Level 2 · Standard
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    Year 10 Factorising and Solving Quadratics Worksheet — Level 2

    Factorise monic quadratics and solve quadratic equations by factorising. Expected-level practice for this year group. This Year 10…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 10 Simultaneous Equations Worksheet — Level 2

    Solve pairs of linear equations by elimination or substitution. Expected-level practice for this year group. This Year 10 worksheet has 8…

    Difficulty
    Level 2 · Standard
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    Year 11 Factorising and Solving Quadratics Worksheet — Level 2

    Factorise monic quadratics and solve quadratic equations by factorising. Expected-level practice for this year group. This Year 11…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    10 questions
    Answers
    Answers included
  • Worksheet

    Year 11 Simultaneous Equations Worksheet — Level 2

    Solve pairs of linear equations by elimination or substitution. Expected-level practice for this year group. This Year 11 worksheet has 8…

    Difficulty
    Level 2 · Standard
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Study Guide

    Functions, Domain and Range

    An HSC/VCE-style study guide to function notation, the vertical line test, and finding the domain and range of common functions. Worked…

    Difficulty
    Level 2 · Standard
    Time
    25 min
  • Study Guide

    Index and Logarithm Laws

    An HSC/VCE-style study guide that sets out the index laws, the definition of a logarithm and the logarithm laws side by side. Worked…

    Difficulty
    Level 2 · Standard
    Time
    25 min
  • Study Guide

    The Quadratic Formula and the Discriminant

    An HSC/VCE-style study guide to solving any quadratic equation with the quadratic formula and using the discriminant to predict how many…

    Difficulty
    Level 2 · Standard
    Time
    25 min
  • Study Guide

    Transformations of Functions

    An HSC/VCE-style study guide to translating, stretching and reflecting graphs using the form y = a f(b(x − h)) + k. Worked examples track…

    Difficulty
    Level 2 · Standard
    Time
    25 min
  • Study Guide

    Applications of Differentiation: Stationary Points and Optimisation

    An HSC/VCE-style study guide to using the first and second derivatives to find and classify stationary points and points of inflection,…

    Difficulty
    Level 3 · Challenge
    Time
    30 min
  • Study Guide

    Exponential Growth and Decay

    An HSC/VCE-style study guide to the model N = N₀eᵏᵗ: finding k from data, predicting future values, half-life and doubling time, the rate…

    Difficulty
    Level 3 · Challenge
    Time
    30 min
  • Study Guide

    Integration and Area Under Curves

    An HSC/VCE-style study guide to definite integrals and area: the standard integrals, the fundamental theorem of calculus, areas below the…

    Difficulty
    Level 3 · Challenge
    Time
    30 min
  • Study Guide

    Integration Basics

    Introduces integration as the reverse of differentiation, sets out the power rule for integrating, explains the constant of integration,…

    Difficulty
    Level 3 · Challenge
    Time
    20 min