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Section 10 - Algebra
Published 9/2026
MP4 | Video: h264, 1920x1080 | Audio: AAC, 44.1 KHz, 2 Ch
Language: English | Duration: 9m | Size: 1.52 GB
Master Algebra Through Problem Solving
What you'll learn
Appreciate famous scientists who contributed to the development of algebra.
Apply symbols to represent numbers, operations, variables and relations.
Denote statements expressed algebraically into verbal phrases.
Perform arithmetic operations involving directed numbers.
Apply the four basic operations with algebraic expressions.
Substitute numbers for algebraic symbols in algebraic expressions.
Perform binary operations (other than the four basic ones).
Use the distributive law to factorize or expand algebraic expressions.
Simplify algebraic expressions.
Apply the laws of indices to manipulate expressions with integral indices.
Solve linear equations in one unknown.
Solve simultaneous linear equations, in two unknowns algebraically
Solve a simple linear inequality in one unknown.
Change the subject of formulae: solving roots and powers.
Factorize algebraic expressions.
Solve quadratic equations.
Solve word problems: linear equation, linear inequalities, simultaneous equations.
Solve a pair of equations in two variables when one equation is quadratic or non-linear and the other linear.
Prove two algebraic expressions to be identical.
Represent direct and indirect variation symbolically.
Solve problems involving direct variation and inverse variation.
Requirements
No prior requirements - This is applicable to students at the secondary and tertiary levels.
Description
Algebra is often described as the language of mathematics because it provides a powerful way to represent relationships, solve problems, and model real-world situations. From basic arithmetic operations to advanced equation solving, algebra serves as a foundation for higher mathematics, science, engineering, economics, and technology.
In this comprehensive course, learners will develop a strong understanding of algebraic concepts and techniques through clear explanations, worked examples, and practical applications. The course begins by exploring the contributions of influential mathematicians who helped shape the development of algebra and introduces the symbols, variables, operations, and relationships that form the basis of algebraic language.
Students will learn to translate verbal statements into algebraic expressions and interpret algebraic statements in meaningful ways. The course covers operations involving directed numbers, algebraic expressions, substitution, binary operations, and the distributive law for expansion and factorization. Learners will also simplify algebraic fractions and apply the laws of indices to manipulate expressions efficiently.
As the course progresses, students will develop confidence in solving linear equations, simultaneous equations, inequalities, and quadratic equations. Additional topics include changing the subject of formulae, proving algebraic identities, solving systems involving linear and non-linear equations, and understanding direct and inverse variation.
Emphasis is placed on problem solving and the practical application of algebraic methods to real-world situations. Through structured lessons and engaging exercises, learners will strengthen their analytical thinking and mathematical reasoning skills.
By the end of this course, students will possess the algebraic knowledge and confidence needed to succeed in mathematics and related disciplines.
Who this course is for
This is applicable to students at the secondary and tertiary levels.
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