# Introductory Algebra II

Educator Edition

 Contributor Portland Community College Course MTH 65, Introductory Algebra - Second Term. Introduces algebraic concepts and processes with a focus on linear equations and inequalities in one and two variables. Emphasizes applications, graphs, formulas, and proper mathematical notation throughout the course. A scientific calculator may be required. The TI-30X II is recommended. Textbook ORCCA (Open Resources for Community College Algebra) by Cary, Jordan, and Yao Prerequisites Intended for students who have passed the Introductory Algebra I course.

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## Intended Outcomes

Upon completion of the course students will be able to:

• Convert between different polynomial forms using operations and factoring.
• Represent quadratic functions in various forms: symbolic, graphical, numerical, and verbal.
• Use variables to represent unknown quantities and create models using linear equations, quadratic equations, and systems of equations.
• Make predictions and interpret the results for models using linear equations, quadratic equations, and systems of equations.
• Recognize and differentiate between linear and quadratic patterns in ordered paired data, graphs, and equations.
• Interpret properties such as ordered pairs, and maximum and minimum values in a quadratic relationship.

This problem series includes WeBWorK-enhanced problems. WeBWorK problems are highly sophisticated, supporting the representation and manipulation of mathematical objects such as vectors, points, matrices, intervals, and complex numbers, with customizable answer checkers. Students are encouraged to make multiple attempts until they succeed, and given immediate feedback on correctness.

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## Problem Sets

1. Review Graphing Lines
2. Solve System By Graphing
3. Solve System By Substitution
4. Solve System By Elimination
5. System Equation Applications
6. Exponent Review
8. Multiplying Polynomials
9. Divide Polynomials
10. Negative Exponents
11. Scientific Notation
12. Factor Out Common Factors
13. Factor By Grouping
14. Factor Trinomial When A Is 1
15. Factor Trinomials When A Is Not 1
16. Factor Special Polynomials
17. Introduction To Square Root
18. Simplify Square Roots
19. Square Root Operations
20. Rationalize Denominator
21. Trigonometryratios
22. Solve Quadratic Equation By Square Root Property
23. Solve Quadratic Equation By Factoring
26. Moving Parabola Up Down
27. Parabola Thinner Wider
28. Parabola Shifting Left Right
29. Parabola Movement Summary
30. Parabola Axis And Vertex
31. Parabola Intercepts
32. Sketching Parabolas
33. Maximum Minimum Applications
34. Falling Object Applications
35. Functions