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Private In-Home and Online Algebra Tutoring in Upland, CA

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Session Summaries by Algebra Tutors

Upland, CA Algebra tutoring
The student is passing algebra, but he wants to finish the year off strong. Our review covered radicals. We started by just discussing what a radical (square root) was and using it to simplify expressions. Then we talked about how we add and subtract like radicals and the process of simplifying radicals to create like radicals. Then we began multiplying radicals. As we did this, we included variables within the radicals. We still have a couple of sections to cover before he takes his final test, but he is catching up very quickly.
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Upland, CA Algebra tutoring
We worked on more problems for her algebra test tomorrow. She seems very well prepared for the exam.
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Upland, CA Algebra tutoring
The student was looking for a little review prior to his final exam in Honors math, algebra/trigonometry. He needed particular review in graphing linear inequalities. He remembered the definition of the logarithm very well, but I showed him how to use the properties to solve or simplify equations.
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Upland, CA Algebra tutoring
Today the student and I went over the word problems worksheet I sent him on Sunday. He answered 5 of them on his own and all were correct. We worked on the other few and he was also able to answer these correctly. He seems to be much more comfortable with this material and his scores are showing this. After completing the worksheet we worked on Spanish. As we still had some time left, we then went back to his algebra textbook and he did about 10 more problems which he was also able to answer correctly.
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Upland, CA Algebra tutoring
Today the student and I went over how to multiply and divide square roots, in order to simplify them. For example, if asked to find the square root of 18, you can divide 18 into 9 and 2, and from there take out the square root of 9, which is 3, so you are left with 3 times the square root of 2. She admitted right away that she's always had a bit of trouble with roots and radicals. I really appreciated her honesty about that because it gave us the chance to review what a root really is! It's just an exponent, we just write it in a different way. She had a worksheet with all the answers filled in, but without showing any work, so we went through the worksheet and I asked her to complete the work for each problem. After a little bit of a review from me she was able to do this very well. We talked about recognizing that the same perfect squares are used over and over again - 25, 49, 4, 36, a few others...and to try and break down a big number into two factors where one is one of these perfect squares. Breaking down the terms with exponents is a little more difficult, but she was doing very well with that too by the end.
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Upland, CA Algebra tutoring
Today was the student's 5th Algebra tutoring session. He did an excellent job! He is a couple of sections ahead of his class. He graphed systems of linear inequalities and single-variable absolute value equations and inequalities. He also solved three-variable systems using substitution and elimination. He also practiced writing and solving systems of equations based on tricky word problems. He is very quick to arrive at the correct system after reading a word problem and just as quick when solving. I reinforced to him that it is just as important to double-check his solution in both of the original equations and make sure that his solution makes sense. He has a test coming up soon, but he is ready to ace it now. We will continue moving forward in his curriculum, but we will be sure to review these concepts again prior to his assessment. Great work!
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