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The Student and Tutor reviewed polynomial addition and subtraction, then delved into polynomial multiplication. They covered the distributive property, the law of exponents, and practiced various multiplication problems, including monomials and binomials. The Tutor assigned 10 practice questions for homework to be reviewed in the next session.

The session focused on practicing the subtraction of polynomials, with the Student working through several problems. The Tutor addressed common errors related to sign changes and provided a comprehensive review of the rules for adding and subtracting signed numbers. The plan for the next class is to cover multiplication and division of polynomials, building on the reinforced understanding of addition and subtraction.

The Student and Tutor began the session by introducing polynomials, covering their definition, classification based on the number of terms, and how to determine their degree. They then moved on to polynomial operations, specifically addition and subtraction, practicing several addition problems. The plan for the next session includes practicing subtraction and then proceeding to multiplication and division of polynomials.

Student and Tutor reviewed homework on systems of linear equations, specifically addressing a challenging temperature-related problem and the proper methodology for presenting solutions. The student then took a mini-test on solving word problems using two variables, successfully completing most and reviewing the solution to a complex elevator problem. For the next session, they planned to begin studying polynomials and factoring.

The Student and Tutor reviewed solving systems of two-variable linear equations, addressing common algebraic errors in manipulation and equation setup. They subsequently practiced forming and solving linear equations derived from various word problems, including those involving ticket sales, animal counts, and financial transactions. Additional word problems were assigned as homework, and the schedule for upcoming sessions was confirmed.

The session reviewed algebraic representations of ratios and then transitioned into solving systems of linear equations. The Student practiced translating word problems into two-variable equations and learned the elimination method, focusing on multiplying equations and managing signs during subtraction. The Tutor assigned additional two-variable equation problems as homework for further practice.