top of page

# ALGEBRA I

Comprehensive Algebra I  Course

## Contents

### Concept Development

Basics

Writing variable expressions

Order of operations

Evaluating expressions

Number sets

Multiplying and dividing rational numbers

The distributive property

Combining like terms

Percent of change

Equations

One-step equations

Two-step equations

Multi-step equations

Absolute value equations

Rational equations

Solving proportions

Percent problems

Distance-rate-time word problems

Mixture word problems

Work word problems

Literal Equations

Inequalities

Graphing one-variable inequalities

One-step inequalities

Two-step inequalities

Multi-step inequalities

Compound inequalities

Absolute value inequalities

Linear Equations and Inequalities

Finding slope from a graph

Finding slope from two points

Finding slope from an equation

Graphing lines using slope-intercept form

Graphing lines using standard form

Writing linear equations

Graphing absolute value equations

Graphing linear inequalities

Exponents

Exponential functions and graphs

Properties of exponents

Writing numbers in scientific notation

Operations with scientific notation

â€‹

Polynomials

Naming polynomials

Multiplying polynomials

Multiplying special case polynomials

Factoring special case polynomials

Factoring by grouping

Dividing polynomials

Systems of Equations and Inequalities

Solving systems of equations by graphing

Solving systems of equations by elimination

Solving systems of equations by substitution

Systems of equations word problems

Graphing systems of inequalities

Using the distance formula

Using the midpoint formula

Completing the square

-by taking square roots

-by factoring

-by completing the square

Rational Expressions

Simplifying rational expressions

Finding excluded values / restricted values

Multiplying rational expressions

Dividing rational expressions

Dividing polynomials

Solving rational equations

Trigonometry

Finding trig. ratios

Finding angles of triangles

Finding side lengths of triangles

Word Problems

Distance-rate-time word problems

Mixture word problems

Work word problems

Systems of equations word problems

Statistics

Visualizing data

Scatter plots

Using statistical models

### Content Practice

NUMBERS, OPERATIONS AND PROPERTIES
Identifying Properties

EXPRESSIONS AND EQUATIONS
Dependent and Independent Variables
Modeling Expressions
Solving Linear Equations
Modeling Linear Equations
Transforming Formulas

RATE
Conversions
Using Rate
Speed
Rate of Change

LINEAR EQUATIONS
Modeling Linear Functions
Graphing Linear Functions
Writing Linear Equations

INEQUALITIES
Solving Linear Inequalities
Interpreting Solutions
Modeling Linear Inequalities
Graphing Linear Inequalities

ABSOLUTE VALUE
Graphing Absolute Value Functions

Using the Discriminant

POWERS
Modeling Exponential Functions
Graphing Exponential Functions

POLYNOMIALS
Identifying Solutions
Operations with Polynomials
Factoring Polynomials
Factoring the Difference of Perfect Squares
Zeros of Polynomials
Graphing Polynomial Functions

Graphing Root Functions

SYSTEMS
Solving Linear Systems
Modeling Linear Systems
Graphing Linear Systems
Modeling Systems of Linear Inequalities
Graphing Systems of Linear Inequalities
Other Systems

FUNCTIONS
Defining Functions
Functional Notation
Evaluating Functions
Domain and Range
Operations with Functions
Families of Functions
Transformations with Functions
Comparing Functions
Relating Graphs to Events
Graphing Piecewise-Defined Functions
Graphing Step Functions

SEQUENCES AND SERIES
Sequences

GRAPHS AND STATISTICS
Central Tendency and Dispersion
Frequency Tables
Frequency Histograms
Box Plots
Dot Plots
Scatter Plots
Analysis of Data
Regression
Correlation Coefficient
Residuals

### Practice Test

1. 10+ Practice Test and Review

## Price List

### \$2200

Elite

Concept Development: All lessons

Concept Practice: All lessons

Practice Tests: 10+ with review

Total Classes: 80+

Target Score: 90+

Duration: 6-10 months

Regular Class duration: 2 hrs. (Sat-Sun).

### \$1500

Regular

Concept Development: All lessons

Concept Practice: All lessons

Practice Tests: 5+ with review

Total Classes: 50+

Target Score: 90+

Duration: 3-6 months

Regular Class duration: 2 hrs. (Sat-Sun).

### \$825

Economy

Concept Practice: All lessons

Practice Tests: 5+ with review

Total Classes: 25+

Target Score: 85+

Duration: 1-3 months

Regular Class duration: 2 hrs. (Sat-Sun).

â€‹

Algebra I Plans
###### our instructors
• Elite High School or College Graduates

• Top SAT or Standardized Test Scorers

• Experienced and Skillful

• Caring and Pro-active

• Subject Matter Experts