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Math Analysis Off-Track Homework You are to use the internet to find resources that will help you learn the following topics. If the resource is valuable, then print it if possible. For each topic you are to work at least four examples from the website. Your examples should be neat, so that others could learn from your work. Each topic will have its own page of examples, labeled with a topic heading and the website address. You will also need to be able to explain how to work the examples and any new methods you discovered. All the examples and extra resources need to be organized in a 3-prong folder. This will be turned in the first day of school and used throughout second semester for review. Topics: #1 – Solve absolute value equations #2 – Solve absolute value inequalities #3 – Solve systems of linear equations in two variables #4 – Solve systems of linear equation word problems #5 – Solve systems of linear equations in three variables #6 – Solve systems of linear inequalities #7 – Add and subtract polynomials #8 – Multiply polynomials #9 – Divide polynomials #10 – Factor polynomials that represent a difference of two squares #11 – Factor polynomials that represent perfect square trinomials #12 – Factor polynomials that represent a sum and difference of two cubes #13 – Simplify rational expressions with negative exponents #14 – Multiply and divide rational expressions #15 – Add and subtract rational expressions #16 – Add and subtract complex numbers #17 – Multiply complex numbers #18 – Divide complex numbers #19 – Raise “i” to powers #20 – Solve quadratic equations by factoring (ZPP) #21 – Solve quadratic equations using quadratic formula #22 – Solve quadratic equations by completing the square #23 – Determine the vertex of a quadratic, and if it is a max or min #24 – Graph quadratics in standard form #25 – Graph quadratics in vertex form #26 – Complete the square to write a quadratic equation in standard form for conics #27 – Identify conics written in standard form #28 – Graph conics written in standard form #28 – Properties of exponents #29 – Properties of logarithms #30 – Laws of fractional exponents #31 – Solve logarithmic equations #32 – Solve exponential equations #33 – Angle and side relationships of 30-60 -90 triangles #34 – Angle and side relationships of 45-45-90 triangles #35 – Use trigonometric functions to find the length of a side of right triangles #36 – Use relationships of chords and secants of circles #37 – Use relationships of tangents and inscribed angles of circles #38 – Use SSS and SAS to prove congruent triangles #39 – Use ASA and AAS to prove congruent triangles #40 – Triangle inequality theorem #41 – Exterior angle theorem of triangles #42 – Sum of interior angles of polygons #43 – Properties of parallelograms #44 – Properties of rectangles, rhombi and squares #45 – Properties of trapezoids #46 – Use AA, SAS and SSS to prove similar triangles #47 – Use combinations and permutations to compute probabilities #48 – Use fundamental counting principle #49 – Know and use the binomial theorem #50 – Compute the variance and standard deviation from a set of data