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Private In-Home and Online Algebra Tutoring in Avondale, AZ

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Session Summaries by Algebra Tutors

Avondale, AZ Algebra tutoring
I met with the student yesterday, and we went over the new material he's going over in class: polynomials. We went over the FOIL method of multiplying polynomials and also discussed the typical patterns of equations such as (a+b)^2, (a-b)^2, and (a+b)(a-b). He only needed a little explanation and practice before he got it down, and we spent time doing practice problems. We also reviewed his most recent test, which he did well on. He only missed 3 out of 27.
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Avondale, AZ Algebra tutoring
On Wednesday we finished up all the work the student's teacher had assigned him. One of the assignments was a long division worksheet so that was purely review, but the other assignment involved ratios which is more closely related to what he's doing in class. He really enjoys finding little computational tricks and shortcuts, and so I've been showing him a few as we go along as well.
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Avondale, AZ Algebra tutoring
The student has a test on Monday so we went over the module review to get her ready for her test. Most of the module involved working with matrices, additive inverse, multiplicative inverses, and using matrices to solve systems of equations. She wasn't having any difficulty solving the problems.
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Avondale, AZ Algebra tutoring
Apparently the student's teacher is starting semester review, as the problems we did tonight dealt with the point-slope form, and slope intercept form--how to find the slope given two points, and how to graph these equations. We also did a few problems on scatter point graphs, which he is really good at solving.
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Avondale, AZ Algebra tutoring
We covered multiplying and dividing radical expressions. The teacher handed back the chapter five test and we went over questions that he was deducted points for. He still needs to work on word problems and building polynomial functions given imaginary roots. I left him practice problems from sections 6.2 and 6.3. I have no concerns from this session.
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Avondale, AZ Algebra tutoring
The student and I continued our review of systems of equations that we had began on Monday. Last time, we made great progress in understanding substitution, so we focused on elimination as a method for solving these systems. These were not new concepts for him, so we went through many problems as review. He was able to efficiently work through elimination problems involving only addition or subtraction. For problems incorporating multiplication, he occasionally forgot to multiply each term by a constant, or he got a bit confused by the numbers. However, he was able to identify his mistakes. The biggest tip I had for the student when working through these problems was to slow down and be wary of negative signs. I also spent a considerable amount of time working through word problems with him. I had him explain to me his thought process as we went through word problems to ensure that he was taking into account all relevant information.
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