Chapter 5: Algebraic techniques and index laws Notes

Algebra language and substitution, adding, subtracting, multiplying and dividing terms, algebraic fractions, expanding and factorising, and the index laws including the zero index and power of a power.

Sections

5A Simplifying algebraic expressions Mastered

Substitution, collecting like terms, and multiplying and dividing algebraic terms in Year 8 algebra.

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5B Algebraic fractions Mastered

Adding, subtracting, multiplying and dividing simple algebraic fractions using common denominators and cancelling.

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5C Expanding brackets Mastered

Expanding expressions with the distributive law, including negative and pronumeral factors, and expanding then simplifying.

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5D Factorising expressions Mastered

Factorising algebraic expressions by taking out the highest common factor, including negative and pronumeral factors.

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5E Index laws Mastered

Index laws for multiplying and dividing powers with the same base, the zero index, and raising a power to a power, including coefficients.

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