Algebra I Part 2 Syllabus 6. Polynomials, factoring, and solving quadratic equations. a. Types and characteristics of polynomial expressions. b. Add and subtract polynomials. c. Multiply polynomials. d. Find special products of polynomials (identify special patterns). e. Solve polynomial equations in factored form by using the Zero-­‐Product Property. f. Factor quadratic expressions in the form x ! + bx + c. g. Factor quadratic expressions in the form ax ! + bx + c. h. Solve quadratic equations by factoring. i. Factor special products. j. Factor polynomials completely. k. Solve polynomial equations by factoring. 7. Quadratic equations and functions. a. Graph functions in the form y = ax ! + c. b. Graph functions in the form y = ax ! + bx + c. c. Solve quadratic equations by graphing. d. Use square roots to solve quadratic equations. e. Solve quadratic equations by completing the square. f. Solve quadratic equations by using the quadratic formula. 1. Review methods for graphing linear equations and determining the slope of a line. a. Graph a linear equation using an x-­‐y chart. b. Graph a linear equation by using intercepts. c. Determine the slope of a line. (slope formula) d. Graph a linear equation using slope-­‐intercept form. 2. Write and graph linear functions. a. Write/graph linear equations in slope-­‐intercept form. b. Write/graph linear equations in point-­‐slope form. c. Write/graph linear equations in standard form. d. Applications with all forms of a linear equation. e. Write/graph equations of parallel and perpendicular lines. f. Write/graph the equation of a best-­‐fitting line to data. 3. Solve and graph linear inequalities. a. Solve and graph inequalities in one variable. b. Solve and graph compound inequalities. c. Solve absolute-­‐value equations. d. Solve and graph absolute-­‐value inequalities. e. Graph linear inequalities in two variables. 4. Solve systems of linear equations/inequalities. a. Solve linear systems by graphing. b. Solve linear systems by substitution. c. Solve linear systems by elimination. d. Solve special types of linear systems. e. Applications with linear systems. f. Solve systems of linear inequalities. g. Applications with systems of linear inequalities. 5. Exponents and Exponential Functions a. Properties of Exponents. b. Use the properties of exponents to simplify exponential expressions. c. Graph exponential functions. d. Write and graph exponential growth and exponential decay functions. e. Applications with exponential growth and exponential decay functions.