SAT Math Tutor | Personalized Learning to Build Confidence & Achieve Higher Scores

The tutor and student worked on solving higher-degree inequalities, building on prior knowledge of quadratic equations. They practiced two methods, the case-based sign analysis and the interval/snake method, to find solutions for inequalities involving polynomials. The next session will cover a new type of problem, building upon these concepts.

The student and tutor focused on solving quadratic equations using the 'middle term splitting' (or 'X method'). They worked through examples of equations with positive and negative coefficients, reinforcing the steps of identifying coefficients, setting up the 'X' for factoring, splitting the middle term, factoring by grouping, and solving for the roots. The next steps for practice were discussed.

The student and tutor covered the concepts of absolute value equations and inequalities. They practiced solving various problems, including those with fractions and more complex expressions, and learned how to interpret and graph the solutions. The next steps involve further practice with worksheets provided by the tutor.

The Student and Tutor reviewed properties of inequalities including addition, subtraction, multiplication, division, transitive, symmetric, and reciprocal rules. They then extensively practiced solving systems of linear inequalities in one variable, focusing on graphical representation on a number line to determine common solution regions. Homework was assigned on similar problems, requiring answers in both compound inequality and interval notation.

Student and Tutor reviewed mixture problems, focusing on identifying variables, setting up tables, and solving equations for both single and two-variable scenarios. They then began Unit 4 by covering the basics of inequalities, including graphing on a number line, interval and compound notation, solving techniques, and properties of inequalities. Homework includes practicing mixture problems from a shared sheet and reviewing the introductory inequality concepts.

The Tutor and Student focused on learning and practicing mixture problems in mathematics. They worked through several examples, using a structured table to set up and solve linear equations, including systems of equations, to find unknown quantities or concentrations. The Student was assigned additional practice problems to be completed for the next session, with guidance on how to properly set up their solutions.