• Mathematics Advanced
  • Year 10

Algebraic Expressions and Equations

approx. 9 hrs

5 topics

24 concepts

Gain proficiency with Algebraic Expressions and Equations and advance into Year 11 with confidence.

Available in


Year 10 Algebraic Expressions and Equations content aligns with the Australian curriculum. In Advanced Algebraic Expressions and Equations, students will develop confidence in working with algebraic techniques to answer challenging questions including factorising and expanding quadratic expressions, rearranging complex formulae and solving linear, quadratic and simultaneous equations.

Topics & Concepts We Cover

This learning program is made up of the following 5 topics, broken down into 24 concepts.

  • Expand Binomial Products 3 concepts

    1. Expand the Difference of Two Squares

    2. Expand and simplify a variety of expressions involving binomial products

    3. Expand perfect squares

  • Factorise Binomial Products 6 concepts

    1. Factorise a quadratic expression by completing the square

    2. Factorise the Difference of Two Squares

    3. Factorise by grouping in pairs

    4. Factorise non-monic quadratic trinomial expressions

    5. Factorise perfect squares

    6. Factorise monic quadratic trinomial expressions

  • Algebraic Fractions 4 concepts

    1. Factorise and simplify algebraic expressions involving multiplying and/or dividing algebraic fractions with a quadratic expression on the numerator and/or denominator

    2. Factorise and simplify algebraic expressions involving a quadratic expression on the numerator and/or denominator

    3. Factorise and simplify algebraic expressions involving adding and/or subtracting algebraic fractions with a quadratic expression on the numerator and/or denominator

    4. Add or subtract algebraic fractions with binomial numerators or denominators

  • Solve Quadratic Equations (A) 9 concepts

    1. Generate and solve a quadratic equation from a word problem and interpret results

    2. Solve non-monic quadratic equations

    3. Solve simultaneous equations, where one or more equations are non-linear and interpret results

    4. Solve monic quadratic equations

    5. Complete the square to solve quadratic equations

    6. Substitute a pronumeral to simplify higher-order equations to solve the equation

    7. Use the quadratic formula to solve quadratic equations

    8. Select the appropriate factorising method to solve a given quadratic equation

    9. Evaluate the discriminant to determine the number of real solutions of a quadratic equation

  • Rearrange Formula including Solving Simple Cubics 2 concepts

    1. Rearrange more complex formulas to change the subject of the equation

    2. Solve simple cubic equations

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?

Simply pick a time that works for you

Add your payment details securely online

We'll be in contact to match you with one of our top tutors and book your first session

Starting at

$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime

Access to practice questions

Not sure if this program is right for you?

Ask us, we'll help you find the right program.

Enquire now