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YEAR 8 · LINEAR EQUATIONS AND GRAPHS

Topic review.

Connect the key ideas, then choose a practice paper.

01 / QUICK RECAP

Connect the ideas.

  • Apply a balanced operation to both equation sides.
  • Multiply every bracket term by its outside factor.
  • Keep fractions exact and check original expressions.
  • Use open or filled inequality endpoints correctly.
  • A graph point satisfies its rule; an intersection satisfies both.
  • Define model variables, units and realistic domains.
02 / TOPIC TEST

Put it together.

Choose a paper and show your working.

  1. Linear equations and graphs — topic test

    A progressive topic paper with calculations, explanations and practical applications.

    15 questions · 37 marks · 45 minutes · By hand
Curriculum reference & lesson scope

Australian Curriculum v9 and SA Curriculum Mathematics (2026)

Multi-step equations; brackets and variables on both sides; equations with rational solutions; substitution checks; one-variable inequalities and number-line solutions; tables and straight-line graphs; horizontal/vertical lines; how coefficients change a graph; graphical solutions and intersection checks; real-world linear models with digital exploration.

Official curriculum source ↗

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