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

Australian Curriculum (ACARA)

Grade 9

Mathematics

40 questions

Simplifying algebraic expressions, expanding binomial products and factorising monic quadratic expressions (ACARA AC9M9A02), from an expansion-technique angle.

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Multiple Choice

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Expanding Binomials and Factorising Monic Quadratics

This worksheet provides practice in expanding binomial products and factorising monic quadratic expressions of the form x^2+bx+c, as described in the Australian Curriculum (AC9M9A02).

Section A: Expanding Binomial Products — Multiple Choice

Choose the correct expansion for each binomial product.

Expand (x + 2)(x + 3).

x^2 + 6x + 5 x^2 + 5x + 6 x^2 + 2x + 6 x^2 + 3x + 5

Expand (x + 5)(x - 1).

x^2 - 4x - 5 x^2 + 5x - 1 x^2 + 4x - 5 x^2 - 5x + 4

Expand (x - 4)(x - 2).

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

Expand (y - 7)(y + 3).

y^2 + 4y - 21 y^2 - 10y - 21 y^2 - 4y + 21 y^2 - 4y - 21

Expand (a + 6)(a + 6).

a^2 + 36 a^2 + 6a + 36 a^2 + 12a + 36 a^2 + 12a + 12

Section B: Expanding Binomial Products — Fill in the Blanks

Complete the expansions by filling in the missing numbers.

Section C: Factorising Monic Quadratics — Multiple Choice

Choose the correct factorisation for each quadratic expression.

Section D: Factorising Monic Quadratics — Fill in the Blanks

Complete the factorisations by filling in the missing numbers.

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