## MAT09x-Fall 2015

## Introductory Algebra

Open Educational Resource Project

Fall 2015

Introductory Algebra Student Workbook – 5th Edition

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

Instructors or institutions interested in adopting these materials please contact Jenifer Bohart (jenifer.bohart@scottsdalecc.edu)

**Student Workbook Units** |
**Media Lesson Videos** |

Unit R: Arithmetic Review |
R1 Order of Operations
R2 Fractions
R3 Operations on Fractions
R4 Signed Numbers |

Unit 1: Introduction to Variables |
1.1: Writing Algebraic Expressions
1.2: The Story of “x”
1.3: Evaluating Algebraic Expressions
1.4: Applications
1.5: Geometric Formulas |

Unit 2: Algebraic Expressions |
2.1 Some Vocabulary
2.2 Like Terms
2.3 Distributive Property
2.4 Simplifying Algebraic Expressions
2.5: Applications |

Unit 3:Solving Equations |
3.1 Algebraic Equations
3.2 Solving One-Step Equations
3.3 Solving Two-Step Equations
3.4 Solving Multi-Step Equations
3.5 Solving Equations – Applications
3.6 Writing Equations – Applications |

Unit 4: Inequalities |
4.1 Inequalities
4.2 Solving Linear Inequalities
4.3 Solving Inequalities – Applications
4.4 Compound Inequalities
4.5 Absolute Value Equations and Inequalities |

Unit 5: Graphs |
5.1 The Cartesian Plane, Examples 1 & 2
5.1 The Cartesian Plane, Example 3 & Quadrants
5.2: Working with Scale in the Cartesian Plane
5.3: Characteristics of Graphs
5.4: Interpreting Graphs
5.5: Constructing a Graph from Data |

Unit 6: Formulas and Patterns |
6.1: Connect the Dots?
6.2 Linear Equations – Two Variables
6.3: Graphing Equations by Plotting Points, Example 1
6.3: Graphing Equations by Plotting Points, Example 2
6.3: Graphing Equations by Plotting Points, Example 3
6.4 Intercepts
6.5 Horizontal and Vertical Lines
6.6: Looking for Patterns, Example 1
6.6: Looking for Patterns, Example 2
6.6: Looking for Patterns, Example 3 |

Unit 7: Introduction to Functions |
7.1 Relations and Functions
7.2 Function Notation
7.3 Domain and Range
7.4 Practical Domain and Range
7.5: Applications |

Unit 8: Formulas and Functions |
8.1: Words and Formulas
8.2 Formulas in Function Notation
8.3: Formulas in Function Notation – Applications
8.4: Graphing Functions, Example 1
8.4: Graphing Functions, Example 2
8.4: Graphing Functions, Example 3
8.5: Connecting Representations, Example 1
8.5: Connecting Representations, Example 2
8.5: Connecting Representations, Example 3
8.5: Connecting Representations, Example 4
8.6: Applications |

Unit 9: Introduction to Linear Functions |
9.1 Linear Functions
9.2 Graphing Linear Functions
9.3 Interpreting the Slope of a Linear Function
9.4: Using Rates of Change to Build Tables and Graphs, Example 1
9.4: Using Rates of Change to Build Tables and Graphs, Example 2
9.5: Is the Function Linear? |

Unit 10: The Equation of a Linear Functions |
10.1 The Equation of a Linear Function, Ex 1 – 3
10.1 The Equation of a Linear Function, Ex4 (Graph)
10.2 Writing the Equation of a Line in Slope-Intercept Form, Example 1
10.2 Writing the Equation of a Line in Slope-Intercept Form, Examples 2 – 5
10.3 Parallel and Perpendicular Lines
10.4 Applications – Slope-Intercept Form
10.5: Interpreting a Linear Function in Slope-Intercept Form |

Unit 11: Linear Equations and Inequalities |
11.1 General Form, Example 1
11.2 General Form, Example 2
11.3 Applications – General Form
11.4 Linear Inequalities in Two Variables
11.5 Graphing Linear Inequalities in Two Variables |

Unit 12: Systems of Equations |
12.1 Systems of Linear Equations, Examples 1 – 3
12.1 Systems of Linear Equations, Examples 4 & 5
12.2 The Substitution Method
12.3 The Addition (Elimination) Method
12.4 Applications |

Unit 13: Polynomials and Exponents |
13.1 Polynomials
13.2 Operations on Polynomials
13.3 Properties of Exponents
13.4 Multiplication of Polynomials
13.5 Applications from Geometry
13.6 Division Properties of Exponents |

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