# Welcome to Algebra!

Welcome to Algebra!

** Algebra 1 is your first step into high school mathematics, as focus begins to shift from basic arithmetic to more advanced calculations involving variables. At PCA, Algebra 1 is simply the beginning of a journey that will lead you through college level mathematics. **

** Below, you will find links to the different units in Algebra 1, each containing helpful information to assist you throughout this school year.**

- Write algebraic expression
- Use the order of operations
- Solve equations
- Represent and interpret relations and functions
- Use function notation
- Interpret the graphs of functions

- Create equations that describe relationships
- Solve linear equations of one variable
- Solve proportions
- Use formulas to solve real world problems

- Identify linear equations, intercepts, and zeros
- Graph and write linear equations
- Use rate of Change to solve problems

- Write and graph linear functions
- Use Scatter plots and lines of fit to write equations and linear regressions
- Find inverse linear functions

- Solve one-step and multi-step inequalities
- Solve compound inequalities
- Solve inequalities involving absolute value
- Graph inequalities in two variables

- Solve systems of linear equations by graphing, substitution, and elimination

- Simplify expressions involving exponents
- Extend the properties of integer exponents to rational exponents
- Use scientific notation
- Graph and use exponential functions

- Add, subtract, and multiply polynomials
- Factor Trinomials
- Factor Difference of Squares
- Graph Quadratic Functions
- Solve Quadratic Equations

- Solve Quadratic equations by graphing, completing the square, and the Quadratic Formula
- Analyze functions with successive differences and ratios
- Identify and graph special functions

- Graph and transform radical functions
- Simplify, add, subtract, and multiply radical expressions
- Solve radical equations
- Use the Pythagorean Theorem
- Find trigonometric ratios

- Identify and graph inverse variations
- Identify excluded values of rational functions
- Multiply, divide, and add rational expressions
- Divide Polynomials
- Solve rational equation