iWorksheetz
Pricing Blog Login Register

Expanding and Factorising Quadratics — Australian Curriculum (ACARA) Grade 9 Mathematics Worksheet

Australian Curriculum (ACARA)
Grade 9
Mathematics
40 questions

Factorising monic quadratic expressions and expanding binomial products (ACARA AC9M9A02), from a factorisation-technique angle.

  • One Word Answer
  • True or False

Preview the questions

Showing 5 of 40 questions from this worksheet.

Expanding and Factorising Quadratics

This worksheet covers expanding binomial products and factorising monic quadratic expressions. It consists of 40 questions designed to test understanding of these key algebraic techniques.

Section A: True or False Statements

Determine if each statement is true or false. Provide a brief explanation for your answer.

The expression (x+3)(x+4) expands to x^2+7x+12. True or false? Explain your reasoning.

The expression (x-5)(x-2) expands to x^2-7x-10. True or false? Explain your reasoning.

The quadratic x^2+9x+18 factorises to (x+9)(x+2). True or false? Explain your reasoning.

The expression (x+5)(x-5) is a special case called the 'difference of two squares'. True or false? Explain your reasoning.

To factorise x^2-3x-10, you need to find two numbers that sum to -10 and have a product of -3. True or false? Explain your reasoning.

Section B: Short Answer Questions

Provide the answer in the space provided. Answers should be a single term, number, or simple expression.

35 more questions in the full worksheet

Create a free account to open all 40 questions, download the printable PDF with its answer key, assign it online, or remix it at a different difficulty.

Unlock the full worksheet Log in

No credit card required · Printable PDF · Auto-graded online assignments

Related worksheets

More Mathematics practice at Grade 9 level.

Grade 9 Mathematics

Variation of Parameters in Functions and Relations (Set 2)

Full mixed revision of variation of parameters in functions and relations (ACARA AC9M9A06).

24 questions Preview →
Grade 9 Mathematics

Variation of Parameters in Functions and Relations (Set 1)

Generalising emerging patterns from the variation of parameters on functions and relations (ACARA AC9M9A06), from a pattern-generalisation angle.

40 questions Preview →
Grade 9 Mathematics

Variation of Parameters in Functions

Experimenting with the effects of variation of parameters on graphs of related functions using digital tools, making connections between graphical and algebraic representations (ACARA AC9M9A06), from a parameter-exploration angle.

40 questions Preview →
Grade 9 Mathematics

Mathematical Modelling with Linear and Quadratic Functions (Set 1)

Full mixed revision of mathematical modelling with linear and quadratic functions (ACARA AC9M9A05).

24 questions Preview →
Grade 9 Mathematics

Mathematical Modelling with Linear and Quadratic Functions (Set 2)

Using mathematical modelling to solve problems involving change in financial and other applied contexts, choosing to use linear or quadratic functions, interpreting solutions and evaluating the model (ACARA AC9M9A05), from a modelling angle.

40 questions Preview →
Grade 9 Mathematics

Graphing and Solving Quadratic Equations (Set 2)

Full mixed revision of graphing and solving quadratic equations (ACARA AC9M9A04).

24 questions Preview →