Chapters 10-11: Topics to Review

10.1	Basics of radicals; terminology; evaluating radical functions
10.2	Fractional exponents and negative exponents; laws of exponents; simplifying exponential expressions
10.3	Multiplying radicals; simplifying by factoring out perfect squares
10.4	Dividing radicals; simplifying by rationalizing denominators
10.5	Combining like terms when adding radicals; using conjugates to rationalize more complicated denominators
10.6	Solving equations with one or two radical terms
10.7	Pythagorean Theorem, special triangles (45-45-90, 30-60-90)
10.8	Complex numbers: addition, subtraction, multiplication, division; complex conjugates; i raised to a power

11.1	Solving quadratics by completing the square or by factoring
11.2	Solving quadratics by using the quadratic formula
11.3	Applications: kinematics, falling, solving a formula for a variable
11.4	Using the discriminant of a quadratic to determine number and type of solutions; writing a quadratic from its solutions
11.6	Graphing a quadratic from y = a(x – h)2 + k form (vertex form); finding the equation from a graph (given vertex and one other point)
11.7	Convert general form to vertex form by completing the square; finding the vertex (x = –b/2a) and intercepts (set y equal to zero)
11.8	Applications: maximizing or minimizing some quantity by writing an equation as a quadratic and finding the vertex