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SYLLABUS ALGEBRA 101 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

Symbolic representation Translation of statements into algebraic expressions Arithmetic operations with directed numbers Operations with algebraic terms and expressions Algebraic substitution Binary operations Expansion of algebraic expressions (using the distributive law) Factorization of algebraic expressions (using the HCF) Operations with simple algebraic fractions Laws of indices Linear equations Changing the subject of formulae (including roots and powers) Simultaneous linear equations Linear inequalities Introduction to quadratic expressions Factorization of quadratic expressions Perfect Squares Difference of Squares Factorization using the difference of squares Factorization by grouping Solving quadratic equations Solving linear with non-linear simultaneous equations Proving two algebraic expressions to be identical Direct and indirect variation Problems using direct and indirect variation Worded problems in algebra

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