Intermediate Algebra (MATH 0314p)

1. Define, represent, and perform operations on real and complex numbers. 2. Recognize, understand, and analyze features of a function. 3. Recognize and use algebraic (field) properties, concepts, procedures (including factoring), and algorithms to combine, transform, and evaluate absolute value, polynomial, radical, and rational expressions. 4. Identify and solve absolute value, polynomial, radical, linear and rational equations. 5. Identify and solve absolute value and linear inequalities. 6. Model, interpret and justify mathematical ideas and concepts using multiple representations. 7. Connect and use multiple strands of mathematics in situations and problems, as well as in the study of other disciplines. Learning Objectives Uponcompletion of MATH 0314P, the student will be able to: 1. add, subtract, multiply and divide polynomials 2. factor polynomials 3. multiply and divide rational expressions 4. simplify complex fractions 5. solve equations involving rational expressions 6. simplify expressions involving rational exponents 7. solve radical equations 8. add, subtract, multiply and divide complex numbers 9. solve quadratic equations by factoring, completing the square, quadratic formula and square root property 10. solve one-variable linear equations and inequalities 11. solve absolute value equations 12. solve absolute value inequalities 13. graph linear equations in two variables 14. find the slope of a line & write its equation 15. solve a 2 × 2 linear system of equations by the substitution and addition methods 16. graph quadratic functions 17. solve word problems 18. recognize functional notation & evaluate functions