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

Australian Curriculum (ACARA)

Grade 9

Mathematics

24 questions

Full mixed revision of expanding binomial products and factorising monic quadratics (ACARA AC9M9A02).

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Expanding and Factorising Expressions

A revision worksheet on expanding binomial products and factorising monic quadratic expressions. Total: 24 marks.

Section A: Multiple Choice

Choose the correct answer for each question. Each question is worth 1 mark.

Which of the following is the correct expansion of (x + 3)(x + 5)?

x^2 + 15x + 8 x^2 + 8x + 15 x^2 + 2x + 15 x^2 + 8x + 8

What is the expanded form of (x - 4)(x + 2)?

x^2 + 2x - 8 x^2 - 6x - 8 x^2 - 2x + 8 x^2 - 2x - 8

Which expression is the result of expanding (x - 6)(x - 3)?

x^2 - 9x + 18 x^2 + 9x + 18 x^2 - 3x + 18 x^2 - 9x - 18

Which of the following is the correct factorisation of x^2 + 9x + 20?

(x + 2)(x + 10) (x + 4)(x + 5) (x - 4)(x - 5) (x + 1)(x + 20)

What is the factorised form of x^2 - 7x + 12?

(x + 3)(x + 4) (x - 6)(x - 1) (x - 3)(x - 4) (x - 2)(x - 5)

Section B: Fill in the Blanks

Complete the following equations. Each question is worth 1 mark.

Section C: True or False

Determine if the following statements are true or false. Each question is worth 1 mark.

Section D: Short Answer

Write the answer in the space provided. Each question is worth 1 mark.

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