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Algebra Units 1-8 Key Concepts and Instructions
Unit 1: Expressions and Variables
- Evaluate algebraic expressions by substituting values for variables
- Combine like terms
- Use distributive property
Unit 2: Solving Linear Equations
- Solve one-step and multi-step equations
- Equations with variables on both sides
- Basic form:
Unit 3: Linear Inequalities
- Solve and graph inequalities on a number line
- Compound inequalities (AND/OR)
- Basic form:
Unit 4: Functions
- Function notation f(x)
- Domain and range
- Linear functions:
- Graph functions and identify key features
Unit 5: Linear Systems
- Solve systems by substitution and elimination
- Graph systems of equations
- Basic form:
Unit 6: Exponents and Exponential Functions
- Laws of exponents
- Exponential growth/decay:
- Scientific notation
Unit 7: Polynomials
- Add, subtract, multiply polynomials
- Factor polynomials
- FOIL method for binomials
Unit 8: Quadratic Functions
- Solve quadratic equations by factoring
- Quadratic formula:
Unit 1: Expressions and Variables
- Evaluate algebraic expressions by substituting values for variables
- Combine like terms
- Use distributive property
Unit 2: Solving Linear Equations
- Solve one-step and multi-step equations
- Equations with variables on both sides
- Basic form:
Unit 3: Linear Inequalities
- Solve and graph inequalities on a number line
- Compound inequalities (AND/OR)
- Basic form:
Unit 4: Functions
- Function notation f(x)
- Domain and range
- Linear functions:
- Graph functions and identify key features
Unit 5: Linear Systems
- Solve systems by substitution and elimination
- Graph systems of equations
- Basic form:
Unit 6: Exponents and Exponential Functions
- Laws of exponents
- Exponential growth/decay:
- Scientific notation
Unit 7: Polynomials
- Add, subtract, multiply polynomials
- Factor polynomials
- FOIL method for binomials
Unit 8: Quadratic Functions
- Solve quadratic equations by factoring
- Quadratic formula:
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