• Mathematics
  • Year 10

Algebraic Expressions and Equations

approx. 9 hrs

7 topics

23 concepts

Improve your understanding of Algebraic Expressions and Equations and build strong foundations for Year 11.

Available in


The Year 10 Algebraic Expressions and Equations program covers essential algebraic techniques and is aligned with the Number and Algebra strand of the Australian curriculum. In this program, students practice a range of algebraic techniques including factorising and expanding expressions, substitution, solving linear, quadratic and simultaneous equations.

Topics & Concepts We Cover

This learning program is made up of the following 7 topics, broken down into 23 concepts.

  • Algebraic Fractions 3 concepts

    1. Simplifying algebraic fractions addition/ subtraction with a single algebraic term denominator

    2. Simplifying algebraic fractions addition/ subtraction with a numerical denominator

    3. Simplifying algebraic fractions multiplication/ division with a numerical denominator or single algebraic term

  • Expand and Factorise Expressions 2 concepts

    1. Expand algebraic expressions including indices and/or negative coefficients

    2. Factorising algebraic expressions involving terms with indices and/or negative coefficients

  • Expand and Factorise Binomial Products 3 concepts

    1. Expand binomial products using area diagrams

    2. Factorise monic quadratic trinomial expressions

    3. Expand binomial products using FOIL method or distributive method

  • Solve Linear Equations 4 concepts

    1. Solve linear equations involving more than one algebraic fraction

    2. Generate and solve linear equations from word problems and interpret the results

    3. Substitute positive or negative integers into a given formula

    4. Solve linear equations involving more than three steps

  • Solve Quadratic Equations 2 concepts

    1. Solve simple quadratic equations

    2. Solve monic quadratic equations

  • Simultaneous Equations 5 concepts

    1. Generate and solve linear simultaneous equations from word problems and interpret results

    2. Solve linear simultaneous equations by finding the point of intersection of their graphs

    3. Solve linear simultaneous equations using elimination method where one or both of the equations need to be modified

    4. Solve linear simultaneous equations using substitution method

    5. Solve linear simultaneous equations using elimination method

  • Linear Inequations 4 concepts

    1. Double inequalities

    2. Solve linear inequalities, recognising that there are infinite solutions

    3. Represent linear inequalities on the number line

    4. Solve linear inequalities by reversing the direction of the inequality sign when multiplying or dividing by a negative number

What you'll get

Learning Content

  • A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
  • All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

  • We match you to a private, expert tutor who is right for your needs and goals
  • Our tutors are talented, tested, top ATAR achievers and subject experts
  • During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Algebraic Expressions and Equations


  • Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
  • You and your parents receive a comprehensive feedback report after every session
  • Every session is recorded and available for you to watch at any time, allowing you to review what was covered

Ready to start this program?

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Starting at

$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime

Access to practice questions

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