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The session covered the definition and properties of linear inequalities, including the rules for performing operations (addition, subtraction, multiplication, and division) on them. The tutor also demonstrated methods for solving linear inequalities and verifying the solutions. The tutor plans to cover the laws of exponents and graphing linear inequalities in future sessions.

The Student and Tutor continued their discussion on quadratic equations, focusing on factorization and plotting them on a graph to visualize the roots. The session also introduced cubic equations and methods for framing polynomials, followed by an explanation of linear inequalities. The Student was asked to confirm if solving cubic equations is part of their syllabus for the next class.

The Student and Tutor reviewed solving quadratic equations using the factorization method, including problems with negative coefficients. The Student then practiced finding the roots of a new quadratic equation independently and learned how to generate coordinate points for plotting quadratic functions on a graph. Due to technical difficulties, the full plotting exercise was deferred to the next session.

The Student and Tutor reviewed key concepts from the previous class, including linear equations, graphical representation, and coordinates. The session then introduced quadratic equations, their definition, and graphical representation. The core of the class involved a detailed explanation and practice of solving quadratic equations using the factorization method, with verification of solutions. The Tutor suggested practicing more problems and outlined plans for discussing graphical plotting and problems with varying signs in the next session.

The Tutor and Student reviewed the fundamentals of polynomials, including terms, coefficients, and degree. They then explored the classification of polynomials by the number of terms and by degree, focusing on linear equations. The session included understanding solutions/roots of linear equations and their graphical representation as straight lines on the Cartesian coordinate system, leading to an introduction of linear models for forecasting.

The Tutor and Student reviewed trigonometric concepts, focusing on angles, their measurement in degrees and radians, and the definition of sine and cosine in right-angled triangles. They then proceeded to plot the sine curve by correlating radian angle values with their sine values, illustrating the oscillation of the sine function between -1 and 1.