• Mathematics Standard
  • Year 12

Types of Relationships

approx. 10 hrs

4 topics

14 concepts

Gain expertise in working with linear equations to model and analyse practical problems.

Available in


The primary focus of this learning program is the graphing and interpretation of relationships, and the use of simultaneous linear equations in solving practical problems. We will help students develop skills to model and analyse practical models relating two variables. This includes exploring simple business problems by observing the relationship between cost and revenue to determine profitability.

Topics & Concepts We Cover

This learning program is made up of the following 4 topics, broken down into 14 concepts.

  • Simultaneous linear equations 6 concepts

    1. Use simultaneous linear equation models to solve practical problems

    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. Apply break-even analysis to linear models

    5. Solve linear simultaneous equations using substitution method

    6. Solve linear simultaneous equations using elimination method

  • Exponential models 2 concepts

    1. Using exponential models in practical situations

    2. Investigate the exponential function using technology analysing the affect of the coeefficient, base, index and constant

  • Quadratic models 3 concepts

    1. Using quadratic models in practical situations including stopping distance

    2. Investigate a quadratic function using technology include different transformations

    3. Determine the features of a parabola including vertex, intercepts and concavity

  • Reciprocal models 3 concepts

    1. Investigate the hyperbolic function using technology analysing the affect of the numerator and constant

    2. Sketching basic hyperbolas in the from y=a/x where a is a positive integer

    3. Solve inverse variation problems

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 Types of Relationships


  • 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