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# Award-Winning Private Algebra Tutoring in Casa Grande, AZ

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## Session Summaries by Algebra Tutors

At this session, we reviewed linear systems in preparation for the student's quiz the following day. His quiz will cover solving linear systems using substitution and elimination. Because he was comfortable solving numeric problems, we focused on word problems. He has improved tremendously in regard to recognizing important information given in the problem. I suggested looking for buzz words presented in the problem to help him determine how to solve it. For example, if asked "How many people must be invited so both parties cost the same?" The phase "so both parties cost the same" means set two equations equal to each, and solve for the variable.
The student and I went over practice problems for her quiz. We went over solving a linear system of equations using combination/elimination as well as writing a system of equations given a word problem. She seemed prepared for her quiz and felt confident after our session.
In this session we worked on multiplying polynomials with special product. I walked the student through several examples on how to break down the polynomials and use the three different special product rules. At first, she was having a little bit of trouble understanding what rule to apply and how to use it, but after several examples she was able to recognize what kind of polynomial she was multiplying and what rule to apply. She was able to complete all the problems from the assignment correctly. At the end of the session I introduced the concept dividing polynomials and we worked through a problem together.
The student and I covered solving quadratics by the quadratic formula and solving quadratic roots today. The student had only a few questions today and worked independently throughout most of the session. She only needed a small bit of clarification in the beginning on implementing parts of the quadratic formula and when a root would have no real solutions. We looked at her Physics assignment briefly, but determined that she would not need much assistance with it at the time. The student's progress is very encouraging and I think she will continue to improve through the rest of the semester.
We spent the 2 hours reviewing for the student's final exam. We covered: systems of equations (elimination and substitution), quadratic equations (behaviors and key points such as vertex, roots, min/max), and also factoring. We worked through as many examples as possible, and along the way, I would ask the student to explain to me what was being asked and what the answer represented.
Today the student continued reviewing for her final exam. We went over systems of equations, solving radical equations, solving quadratic equations and the Pythagorean Theorem. The student did great!