Unit 1: Basic Algebra, Functions, and Applications Practice

Basic Algebra

• Solving Linear Equations I
• Solving Linear Equations II
• Solving Linear Inequalities I
• Solving Linear Inequalities II
• Slope From a Graph
• Slope Given Two Points
• Slope From an Equation
• Slope of a Line
• Writing Equations of Lines in Slope-Intercept Form
• Writing Linear Equations
• Graphing Linear Equations in Slope-Intercept Form
• Graphing Linear Equations Using x-Intercepts and y-Intercepts
• Graphing Linear Inequalities on a Coordinate Plane I
• Graphing Linear Inequalities on a Coordinate Plane II
• Parallel and Perpendicular Lines I
• Parallel and Perpendicular Lines II
• Review of Linear Equations
• Compound Inequalities
• Compound Inequalities I - skip #1
• Compound Inequalities II
• Compound Inequalities III
• Solving Linear Absolute Value Equations I
• Solving Linear Absolute Value Equations II
• Solving Linear Absolute Value Equations III
• Solving Linear Absolute Value Inequalities I
• Solving Linear Absolute Value Inequalities II

Functions

• Am I a Function? - Solutions
• Is it a Function? - Solutions
• Recognizing Functions & Evaluating Functions
• Function Notation: Evaluating and Simplifying Functions - Solutions
• Operations with Functions
• Functions Operations I - Solutions
• Functions Operations II - Solutions
• Function Operations III - Solutions
• Composition of Functions I - Solutions
• Difficult Function Operations
• Domain and Range - Solutions
• Domain of Functions - Just complete (#1-3 5, 6) of the Sample Problems and (#1, 2, 4, 7, 8, 13) of the Practice Problems
• Domain and Range 1
• Domain and Range 2
• Domain and Range 3
• Transformations of Functions I
• Transformations of Functions II
• Transformations of Quadratic Functions
• Graphing Absolute Value Functions
• Absolute Value Transformations
• Writing an Absolute Value Function From Its Graph
• Graphing Quadratic Functions
• Graphing Quadratic Functions in Vertex Form
• Evaluating and Graphing Piecewise Functions - Solutions
• x-Intercepts and y-Intercepts - Linear Cases
• Functions Types (Quadratic - Solutions, Cubic - Solutions, Absolute Value - Solutions, Square Root - Solutions, Cube Root - Solutions)
• Graphing Square Root & Cube Root Functions

Applications of Functions

• Linear Regressions I - for #5, only complete parts a & b
• Linear Regressions 2
• Linear Regressions 3 (solutions)
• Linear Regressions 4
• Quadratic Regressions I (Solutions) - Skip #5-10
• Quadratic Regressions II (Solutions) - Skip #3
• Quadratic Regressions III (solutions)
• Exponential Regression I
• Linear vs. Exponential Regressions
• Word Problems

Basic Algebra & Functions Extra Practice (Solutions)

#1 on the Functions Extra Practice, the domain should be (1, infinity)