Course

IB Mathematical Studies SL – Algebra

International Baccalaureate
Mathematical Studies Standard Level

Topic 2 - Algebra

2.1 Algebraic Expressions
2.2 Linear Equations
2.3 Linear Simultaneous Equations
2.4 Quadratic Equations
2.5 Sequences and Series

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37 Lessons
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Course Materials

ALGEBRAIC EXPRESSIONS

Simplifying Algebraic Expressions using Laws of Exponents

Expanding Single Brackets

Expanding Pairs of Brackets

Expanding Difference of Squares

Perfect Square Expansions

Further Expansions Cubes

Algebraic Substitution

Formula Substitution

Formula Rearrangement

LINEAR EQUATIONS

Basic Linear Equations

Linear Equations Involving Expansions

Linear Equations Involving Fractions

Problem Solving with Linear Equations

SIMULTANEOUS EQUATIONS

Linear Simultaneous Equations - Elimination Method

Linear Simultaneous Equations - Substitution Method

Problem Solving with Linear Simultaneous Equations

Undefined or All Real Values of Simultaneous Equations

QUADRATIC EQUATIONS

Quadratic Equations in Square Form

Quadratic Equations in Factorised Form

Quadratic Formula

Problem Solving with Quadratics

ARITHMETIC SEQUENCES AND SERIES

Number Sequences

General Term of a Number Sequence

Arithmetic Sequences

Arithmetic Series

Arithmetic Sequence Problems

GEOMETRIC SEQUENCES AND SERIES

Geometric Sequences

Geometric Sequence Problems

Compound Interest

Depreciation in Value

Geometric Series