**Advanced Pre-Algebra Table of Contents**

**Unit 1: Signed Numbers**

- Adding signed numbers
- Subtracting signed numbers
- Multiplying and dividing signed numbers
- Homework
- Assessment

**Unit 2: Order of Operations**

- PEMDAS
- Homework
- Assessment

**Unit 3: Exponents**

- Using powers with signed numbers and parentheses
- Apply the 3 rules of exponents
- Negative exponents
- Combining like terms (adding and subtracting)
- Multiplying and dividing with exponents
- Homework
- Assessment

**Unit 4: Solving Equations**

- Understanding inverse operations and solving 1-step equations
- Solving 2-step equations
- Solving equations with variables on both sides
- Solving equations using the distributive property
- Solving equations with fractional terms
- Homework
- Assessment

**Unit 5: Percents**

- Converting from words to algebraic expressions using percents
- Percent of change
- Homework
- Assessment

**Unit 6: Inequalities and Absolute Values**

- Solving inequalities
- Compound inequalities: the AND case
- Compound inequalities: the OR case
- Solving absolute value problems: the = case
- Solving absolute values problems: the < case
- Solving absolute values problems: the > case
- Homework
- Assessment

**Unit 7: Radicals**

- Perfect Square roots
- Square roots with irrational parts
- Square roots with variable parts
- Rationalizing the denominator
- Homework
- Assessment

**Unit 8: Factoring and Solving Quadratic equations**

- Factoring out Greatest Common Factors
- Solving quadratics with simple factoring
- Solving quadratics with advanced factoring
- Solving quadratics with Perfect Square = Perfect Square
- Solving quadratics by completing the square
- Solving quadratics by using the Quadratic Formula
- Homework
- Assessment

**Unit 9: Linear Equations**

- Translations of linear, quadratic, and absolute values
- Locating slopes and y-intercepts
- Finding x-intercepts
- Understanding slope directions
- Graphing lines by using slope and y-intercept
- Calculating slope with 2 points
- Finding equations of lines with point slope formula
- Finding equations of lines through 2 points
- Finding equations of line parallel or perpendicular to a given line through a given point
- Homework
- Assessment

**Unit 10: Solving Systems of Equations**

- Solving systems of equations graphically
- Solving systems of equations by 1- step elimination
- Solving systems of equations by 2-step elimination
- Solving systems of equations by substitution
- Homework
- Assessment

**Unit 11: Word Problems**

- Consecutive integer problems
- Basic Distance = Rate X Time problems
- Mixture Problems
- Coin Problems
- Homework
- Assessment

**Unit 12: Summary sheets & Final Exam**

- Summary sheet: Unit 1
- Summary sheet: Unit 2
- Summary sheet: Unit 3
- Summary sheet: Unit 4
- Summary sheet: Unit 5
- Summary sheet: Unit 6
- Summary sheet: Unit 7
- Summary sheet: Unit 8
- Summary sheet: Unit 9
- Summary sheet: Unit 10
- Summary sheet: Unit 11
- Final Exam