Section 1 - Polynomial expressions
Simplifying expressions |
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Multiplication - Expanding brackets |
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Perfect square quadratic expressions |
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Long division - array method |
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Section 2 - Polynomial functions
Problem in context |
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Adding/subtracting functions
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Evaluating polynomial functions |
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Section 3 - Factorising algebraic expressions |
There are 6 methods of factorising required for the LCHL Course
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Difference of two squares (DOTS) |
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Factorising to simplify an algebraic fraction
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Factorising quadratic expressions |
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Sum and difference of two cubes |
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Section 4 - Simplifying algebraic expressions
Simplifying fractions with common factors |
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Adding/subtracting algebraic fractions |
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Simplifying fractions using multiplication |
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Section 5 - Binomial expansions
Using the Binomial Theorem |
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Section 6 - Algebraic identities
Coefficients of like powers are equal on both sides of the equation |
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Section 7 - Manipulating formulae
Changing the subject of a formula - balance method |
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Section 8 - Algebraic patterns
Linear pattern problem |
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Quadratic pattern problem |
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Section 9 - Solving equations
Linear equations - Balance method |
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Section 10 - Solving simultaneous linear equations
Solving: 2 unknowns
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Solving: 3 unknowns
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Problems in context |
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Some sample questions with solutions
Evaluate Polynomial Functions
Factorise including Sum and Difference of Two Cubes
Add/subtract and Simplify Fractions
Manipulate Formula
Polynomial Identities
Solving Linear Equations
Simultaneous Equations - Intersection of Two Lines
Simultaneous Equations - Intersection of Three Planes
