Dedicated Math Tutor | Tailored Lessons, Conceptual Clarity, and Proven Student Results

The Tutor and Student explored the topic of inequalities, differentiating between linear and quadratic types. They practiced solving both algebraic equations and inequalities, focusing on the rules for manipulating inequalities, especially when dealing with negative numbers and quadratic expressions. The session concluded with a discussion on identifying finite versus infinite solution sets for various inequality types.

The Student and Tutor worked on GMAT quantitative reasoning problems, focusing on algebra and number properties. They practiced solving Diophantine-like equations and reviewed definitions of number types, including primes, composites, and rationals/irrationals. The session concluded with an introduction to inequalities, and the Student was encouraged to practice the concepts covered.

Student and Tutor reviewed and practiced solving systems of linear equations, including those with fractions, and applied these methods to several GMAT quantitative reasoning word problems. The session also covered the GMAT exam format, adaptive scoring, and the syllabus for the quantitative reasoning section. The Tutor assigned a sample GMAT paper for the Student to attempt, focusing on accuracy and identifying areas for further practice.

The Student and Tutor reviewed basic algebraic concepts essential for GMAT quantitative reasoning. They practiced forming systems of linear equations from various word problems, including those involving numbers, angles, costs, and fractions. The session also focused on solving these systems using the elimination method. The Student was advised to continue practicing these foundational concepts as the class will soon transition to the official GMAT syllabus.

The Student and Tutor worked on converting word problems into systems of linear equations with two variables. They practiced setting up and solving these systems using the elimination method, with a particular focus on interpreting mathematical keywords. The Student was advised to practice converting word problems into equations for the next session.

The Student and Tutor reviewed foundational algebra topics and then extensively practiced solving systems of linear equations with two variables using the elimination method. They specifically focused on techniques for modifying coefficients in one or both equations to enable elimination. The Student was assigned practice problems on these concepts to solidify understanding before the next session, which will cover word problems involving two variables.