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Master fundamental algebraic concepts through this comprehensive course covering real numbers, linear equations, polynomials, and quadratic functions. Begin with foundational topics including operations with integers and rational numbers, then progress through geometric applications involving perimeter, area, volume, and surface area. Explore variables, expressions, and the order of operations while learning essential number properties and the distributive property. Develop skills in writing and solving various types of equations, from one-step problems to multi-step equations with variables on both sides, including absolute value equations and proportions. Study linear functions extensively, covering graphing techniques, slope calculations, direct variation, and arithmetic sequences. Learn to write equations in both slope-intercept and point-slope forms while understanding parallel and perpendicular lines. Master inequality solving techniques including compound inequalities, absolute value inequalities, and graphing inequalities in two variables. Examine systems of equations through graphical methods, substitution, and elimination techniques. Delve into exponent properties, rational exponents, scientific notation, and exponential functions including growth and decay models. Work with polynomials through addition, subtraction, multiplication, and factoring techniques including trinomials and special products like differences of squares and perfect squares. Conclude with quadratic functions, learning graphing methods, solving techniques including completing the square and the quadratic formula, function transformations, and square root functions.
