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The tutor and student reviewed the concepts of restricted values and simplifying rational expressions. They practiced factoring and multiplying rational expressions, including complex polynomial examples, with a focus on achieving the simplest form. The session concluded with the student attempting a challenging multi-step problem to reinforce these concepts.

The tutor and student reviewed physics problems involving kinematics and mechanics. They worked through problems related to velocity-time graphs and force calculations on an inclined plane with a pulley system, applying concepts of trigonometry and Newton's laws. The student decided not to continue with math classes the following year.

The Tutor and Student worked through various trigonometric identity verification and equation-solving problems. They practiced using double angle formulas, factoring techniques, and handling domain restrictions to find all possible solutions. The Tutor also introduced a method for dealing with negative angles in trigonometric equations.

The Tutor and Student reviewed concepts in kinematics and vector mechanics, including displacement, velocity, acceleration, and the difference between speed and velocity. They practiced applying kinematic equations and Newton's second law to solve problems, and later analyzed forces in equilibrium using trigonometry. The next session will involve more practice problems.

The student and tutor reviewed and practiced solving various trigonometric equations and applying trigonometric identities. They covered techniques for solving equations involving secant, sine, and cosine, using sum and difference formulas, double angle formulas, product-to-sum, and sum-to-product identities. The session involved both guided problem-solving and independent practice, with a focus on finding general solutions and specific values for trigonometric functions.

The session covered advanced algebra topics including the remainder and factor theorems, and coordinate geometry, specifically focusing on the equations and properties of circles. The student practiced solving problems involving finding unknown coefficients, identifying circle centers and radii, and calculating tangent equations. The tutor also introduced methods for solving quadratic trigonometric equations.