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 At the completion of this course, each student should be able to: Solve linear equations in one variable. Solve equations involving fractional expressions. Write an algebraic equation for the variable model. Write a mathematical model and solve word problems. Solve and check quadratic equations. Perform operations with complex numbers and write the result in standard form. Solve polynomial equations of higher degree. Solve equations involving radicals. Solve equations involving rational exponents Solve the linear and absolute value inequalities and sketch the solution on the real number line. The use of distance and midpoint formulas. Sketch the graph of an equation. Find the x- and y- intercepts of the graph and use as sketching aid. Find the slope of a line passing through two points. Find the equation of a line in point-slope form and slope-intercept form. To evaluate the function at the specified value of the independent variable. To find the domain and the range of the function. Sketching a graph using a horizontal and vertical shifts and reflection properties. Evaluate an arithmetic combinations of functions and form the composition of functions. To find the inverse of a function. Sketch the graph of the quadratic functions and identify the vertex and intercepts. To find all the real zeros of a polynomial function. Perform the polynomial divisions using synthetic division process. Solve the systems of equations involving two or three variables.

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