AC9M8A01Year 8AlgebraPractised on site

AC9M8A01 — Year 8 Algebra

Official Curriculum Content Description:

create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties

Worked Examples (2)

Example 1Expanding Single Brackets
Expand −5(−4x−4)-5(-4x - 4).
Common mistake: Multiplying only the first term inside the bracket
Correct Answer:20x+2020x + 20
Worked Solution:
Multiply every term inside the bracket by -5: −5×(−4x)+−5×((−4))-5 \times (-4x) + -5 \times ((-4)) =20x+20= 20x + 20.
Example 2Factorising Expressions by Highest Common Factor
Factorise fully −6x−8-6x - 8.
Common mistake: Stopping at a partial factorisation (e.g. not taking out the highest common factor)
Correct Answer:−2(3x+4)-2(3x + 4)
Worked Solution:
Find the highest common factor (HCF) of -6x and -8: HCF=−2\text{HCF} = -2 Divide each term by -2: −6x÷−2=3x-6x \div -2 = 3x, and −8÷−2=4-8 \div -2 = 4 =−2(3x+4)= -2(3x + 4).

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