• Mathematics General
  • Year 11

Linear relations and equations

approx. 5 hrs

8 topics

30 concepts

Become proficient with algebraic manipulation, equations and graphs.

Available in


In this learning program, students cover representation and manipulation of linear relations and equations. The scope of this program includes simultaneous linear equations and their applications in a range of contexts, with and without the use of technology.

Topics & Concepts We Cover

This learning program is made up of the following 8 topics, broken down into 30 concepts.

  • Rearrange literal equations 2 concepts

    1. Use a CAS calculator to rearrange literal equations

    2. Rearrange a formula to change the subject of the equation

  • Solve non-linear equations 3 concepts

    1. Use a CAS calculator to solve non-linear equations

    2. Solve simple quadratic equations

    3. Solve simple cubic equations

  • Substitution with literal equations 3 concepts

    1. Use a CAS calculator to construct a table of values

    2. Complete a table of values from an equation

    3. Substitute positive or negative integers into a given formula

  • Solve equations simultaneously 7 concepts

    1. Use a CAS calculator to find the point of intersection of two linear graphs

    2. Solve simultaneous equations using a CAS calculator

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

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

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

    6. Solve linear simultaneous equations using substitution method

    7. Solve linear simultaneous equations using elimination method

  • Solve literal equations 7 concepts

    1. Use a CAS calculator to solve a literal equation

    2. Equations with pronumerals on both sides

    3. Solve equations with one algebraic fraction

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

    5. Solve one-step equations

    6. Solve two-step equations

    7. Solve three-step equations

  • Gradient of an Interval 3 concepts

    1. Use the angle of inclination to find the gradient of a linear function

    2. Find the gradient of a line between two points using formulae

    3. Determine the gradient and y-intercept using the gradient-intercept form of a linear relationship

  • Equation of a line 3 concepts

    1. Two-intercept form

    2. Find the equation of a line given two points

    3. Finding the equation of a line given a point and the gradient

  • Parallel and Perpendicular lines 2 concepts

    1. Apply the property that parallel lines have equal gradients

    2. Apply the property that perpendicular lines have gradients that are negative reciprocals of each other

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 Linear relations 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 book in your first session and match you to an expert tutor

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