Success TutoringWorksheets

Free 10th Grade Algebra Worksheets

34 free algebra resources for 10th Grade: 31 worksheets, 2 study guides, 1 test. Answers included.

Patterns, expressions, equations, functions and graphs. 10th grade prepares students for senior courses: quadratics, simultaneous equations, surds, trigonometry and logarithms, plus data analysis.

Students will practice: understanding that the solution to systems of equations satisfies both equations at once; solving by substitution when one variable is already the subject; solving by elimination, including multiplying an equation to match coefficients; setting up and solving systems of equations from a word problem; understanding the standard form of a quadratic equation; factoring monic quadratics and special cases; solving quadratic equations using the zero product property; using the quadratic formula and the discriminant.

Recommended learning path

  1. 1Systems of Equations: Substitution and Elimination
  2. 2Quadratics Cheat Sheet: Factoring and Solving
  3. 310th Grade Quadratics Topic Test
Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    10th Grade Arithmetic and Geometric Sequences Worksheet — Level 1

    Find the common difference or ratio, the nth term and the sum of arithmetic and geometric sequences. Builds confidence with the core skill…

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

    10th Grade Factoring and Solving Quadratics Worksheet — Level 1

    Factor monic quadratics and solve quadratic equations by factoring. Builds confidence with the core skill before adding complexity. This…

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

    10th Grade Function Notation, Composites and Inverses Worksheet — Level 1

    Evaluate functions written in f(x) notation, form composite functions and find the inverse of a linear function. Builds confidence with…

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

    10th Grade Logarithms and Exponential Equations Worksheet — Level 1

    Convert between index and log form, evaluate logarithms, use the log laws and solve exponential equations. Builds confidence with the core…

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

    10th Grade Slope and Linear Equations Worksheet — Level 1

    Find the slope between two points, read the slope and y-intercept from an equation, write the equation of a line and test whether a point…

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

    10th Grade Solving Linear Equations Worksheet — Level 1

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

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

    10th Grade Systems of Equations Worksheet — Level 1

    Solve pairs of linear equations by elimination or substitution. Builds confidence with the core skill before adding complexity. This 10th…

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

    10th Grade Arithmetic and Geometric Sequences Worksheet — Level 2

    Find the common difference or ratio, the nth term and the sum of arithmetic and geometric sequences. Expected-level practice for this…

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

    10th Grade Factoring and Solving Quadratics Worksheet — Level 2

    Factor monic quadratics and solve quadratic equations by factoring. Expected-level practice for this grade. This 10th Grade worksheet has…

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

    10th Grade Function Notation, Composites and Inverses Worksheet — Level 2

    Evaluate functions written in f(x) notation, form composite functions and find the inverse of a linear function. Expected-level practice…

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

    10th Grade Logarithms and Exponential Equations Worksheet — Level 2

    Convert between index and log form, evaluate logarithms, use the log laws and solve exponential equations. Expected-level practice for…

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

    10th Grade Slope and Linear Equations Worksheet — Level 2

    Find the slope between two points, read the slope and y-intercept from an equation, write the equation of a line and test whether a point…

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

    10th Grade Solving Linear Equations Worksheet — Level 2

    One-step, two-step and equations with parentheses or variables on both sides. Expected-level practice for this grade. This 10th Grade…

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

    10th Grade Systems of Equations Worksheet — Level 2

    Solve pairs of linear equations by elimination or substitution. Expected-level practice for this grade. This 10th Grade worksheet has 8…

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

    10th Grade Factoring and Solving Quadratics Worksheet — Level 2 (Set 2)

    Factor monic quadratics and solve quadratic equations by factoring. Expected-level practice for this grade. This 10th Grade worksheet has…

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

    10th Grade Arithmetic and Geometric Sequences Worksheet — Level 3

    Find the common difference or ratio, the nth term and the sum of arithmetic and geometric sequences. A challenge set for students ready to…

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

    10th Grade Factoring and Solving Quadratics Worksheet — Level 3

    Factor monic quadratics and solve quadratic equations by factoring. A challenge set for students ready to stretch further. This 10th Grade…

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

    10th Grade Function Notation, Composites and Inverses Worksheet — Level 3

    Evaluate functions written in f(x) notation, form composite functions and find the inverse of a linear function. A challenge set for…

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

    10th Grade Logarithms and Exponential Equations Worksheet — Level 3

    Convert between index and log form, evaluate logarithms, use the log laws and solve exponential equations. A challenge set for students…

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

    10th Grade Slope and Linear Equations Worksheet — Level 3

    Find the slope between two points, read the slope and y-intercept from an equation, write the equation of a line and test whether a point…

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

    10th Grade Solving Linear Equations Worksheet — Level 3

    One-step, two-step and equations with parentheses 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

    10th Grade Systems of Equations Worksheet — Level 3

    Solve pairs of linear equations by elimination or substitution. A challenge set for students ready to stretch further. This 10th Grade…

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

    10th Grade Solving Linear Inequalities Worksheet — Level 1

    Solve one- and two-step inequalities, including reversing the sign when multiplying or dividing by a negative number, and list…

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

    10th Grade Solving Linear Inequalities Worksheet — Level 2

    Solve one- and two-step inequalities, including reversing the sign when multiplying or dividing by a negative number, and list…

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

    10th Grade Solving Linear Inequalities Worksheet — Level 3

    Solve one- and two-step inequalities, including reversing the sign when multiplying or dividing by a negative number, and list…

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

    10th Grade Equation Word Problems Worksheet — Level 1

    Turn word problems into equations and solve them: think-of-a-number puzzles, consecutive numbers, perimeters and shopping problems. Builds…

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

    10th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1

    Use the distributive property, then binomial products. Builds confidence with the core skill before adding complexity. This 10th Grade…

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

    10th Grade Equation Word Problems Worksheet — Level 2

    Turn word problems into equations and solve them: think-of-a-number puzzles, consecutive numbers, perimeters and shopping problems.…

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

    10th Grade Expanding Expressions (Distributive Property) Worksheet — Level 2

    Use the distributive property, then binomial products. Expected-level practice for this grade. This 10th Grade worksheet has 12 questions…

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

    10th Grade Equation Word Problems Worksheet — Level 3

    Turn word problems into equations and solve them: think-of-a-number puzzles, consecutive numbers, perimeters and shopping problems. A…

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

    10th Grade Expanding Expressions (Distributive Property) Worksheet — Level 3

    Use the distributive property, then binomial products. A challenge set for students ready to stretch further. This 10th Grade worksheet…

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

Topic Tests

End-of-topic tests covering the whole topic.

  • Topic Test

    10th Grade Quadratics Topic Test

    Expanding binomials, factoring and solving quadratic equations in a 45-minute 10th Grade test with marks and fully worked solutions.

    Difficulty
    Level 3 · Challenge
    Time
    45 min
    Questions
    18 questions
    Answers
    Answers included

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Systems of Equations: Substitution and Elimination

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

    Difficulty
    Level 2 · Standard
    Time
    20 min

Cheat Sheets

Formulas and rules at a glance.

  • Cheat Sheet

    Quadratics Cheat Sheet: Factoring and Solving

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

    Difficulty
    Level 3 · Challenge
    Time
    15 min

All algebra worksheets, every grade →

Common questions

What do 10th Grade students learn about algebra?

Patterns, expressions, equations, functions and graphs. At 10th Grade, our resources focus on: understanding that the solution to systems of equations satisfies both equations at once; solving by substitution when one variable is already the subject; solving by elimination, including multiplying an equation to match coefficients; setting up and solving systems of equations from a word problem.

Where should we start?

Read the study guide first, then start with the Level 1 or Level 2 worksheet. Finish with the topic test.

Are answers included?

Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.

How to use these resources

  1. Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
  2. Use the answer sheet's working, not just the final answer, to check the method.
  3. Finish a topic with the topic test to see whether the skill is secure.
  4. Two or three short sessions a week beat one long one.

Need something specific?

Generate a custom algebra worksheet with the exact level and number of questions you want.

Create a worksheet