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# Algebra I

### Instructor: Mrs. Donna Barbara

This is a one year course that culminates in the

New York State Integrated Algebra Regents Exam

1

Number Systems and Sets

• 1-1 Integers
• 1-2 Rational Numbers
• 1-3 Irrational Numbers
• 1-4 Real Numbers
• 2-1 Order of Operations
• 2-2 Properties
• Closure
• Venn Diagrams 2

## Introduction to Linear Models

• What is a linear model
• Creating a linear model
• Evaluating linear models
• Using linear models to predict future events
• Examples
• Cell phone
• Taxi cab
• Sales commision 3

## Solving Linear Equations

• Solving Equations Using More Than One Operation (4.1)
• Simplifying Each Side of an Equation (4.2)
• Solving Equations That Have the Variable in Both Sides (4.3)
• Using Formulas to Solve Problems (4.4)
• Solving for a Variable in Terms of Another Variable (4.5)
• Transforming Formulas (4.6)
• Solving Equations with Fractional Coefficients (14.6)
• Applications 4

## Types of Linear Applications

• Coin Problems
• Distance Problems
• Whole in two parts
• Consecutive integer Problems
• Mixture/Weighted Average Problems
• Perimeter
• Complementary and Supplementary Problems (7.2)
• Inequality Problems 5

## Solving Linear Inequalities/Equations

• 4-7 Properties and Graphing of Inequalties
• 4-8 Finding and Graphing the Solution Set of an Inequality
• 14-7 Solving Inequalities with Fractional Coefficients
• 4-9 Using Inequalties to Solve Problems
• 14-6 Solving Equations with Fractional Coefficients 6

## Graphs of Linear Functions

• Graphing Number Pairs (2.8)
• Sets, RelationsFunctions (9.1)
• Graphing Linear Functions Using Their Solutions (9.2)
• The Intercepts of a Line (9.6)
• The Slope of a Line (9.4)
• Graphing Linear Functions Using Their Slopes (9.7)
• The Point-Slope Form of a Line
• Graphing a Line Parallel to an Axis (9.3)
• The Slopes of Parallel and Perpendicular Lines (9.5)
• Writing an Equation Given Slope and One Point (10.1)
• Writing an Equation Given Two Points (10.2)
• Writing an Equation Given the Intercepts (10.3)
• Graphing First-Degree Inequalities in Two Variables (9.9)
• Graphs Involving Absolute Value (9.10) This topic 7

## Operations and Factoring Polynomials

• Adding and Subtracting Algebraic Expression (5.1)
• Multiplying Powers That Have the Same Base (5.2)
• Multiplying by a Monomial (5.3)
• Dividing Powers That Have the Same Base (5.5)
• The Square of a Monomial (11.3)
• Negative and Zero Exponents (5.6)
• Multiplying Polynomials (5.4)
• Multiplying the Sum and the Difference of Two Terms (11.4)
• Multiplying Binomials (11.6)
• Dividing Polynomials by Monomials (5.8)
• Scientific Notation (5.7)
• Prime Factorization (11.1)
• Factoring by using the GCF (11.2)
• Factoring by the Difference of two Squares (11.5)
• Factor by Grouping
• Factoring Trinomials (11.7)
• Factoring Completely (11.8) Skip Upcoming Events

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