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YEAR 8 · HIGH SCHOOL MATHEMATICS

Algebraic expressions.

Simplify and substitute, multiply and divide terms, expand and factorise, compare equivalent forms and rearrange formulas.

7 lessons1 practice test

Work through the topic

Learn the method, follow the examples, then try the worksheet.

  1. 01

    Combining like terms

    Identify like terms and combine their coefficients while keeping unlike terms separate.

    13 min · Worked examples & worksheet
  2. 02

    Substitution with signed/rational values

    Evaluate expressions using signed and fractional values, with brackets to preserve negative inputs.

    13 min · Worked examples & worksheet
  3. 03

    Multiplying/dividing algebraic terms

    Multiply and divide simple algebraic terms by handling numerical and variable factors separately.

    13 min · Worked examples & worksheet
  4. 04

    Expanding a single bracket

    Expand a single bracket by multiplying every term, including signed terms, by the outside factor.

    13 min · Worked examples & worksheet
  5. 05

    Factorising common factors

    Reverse expansion by extracting the greatest common factor of every term.

    13 min · Worked examples & worksheet
  6. 06

    Equivalent linear expressions

    Compare linear expressions using valid algebraic transformations and distinguish equivalence from one matching value.

    13 min · Worked examples & worksheet
  7. 07

    Rearranging simple formulas

    Make a chosen variable the subject by undoing operations in reverse order on both sides.

    13 min · Worked examples & worksheet
AFTER THE LESSONS

Topic review

Revisit the key ideas, then choose a practice paper.

1 practice test · Separate worked marking guides
Review & tests
Year 8 topics

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