Basic Algebra or Algebra I

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Pre-Algebra Review

1.1 Introduction

Whole Numbers
Place Value & Word Names
Expanded Form
Rounding & Inequalities
Addition & Subtraction of Whole Numbers

Whole Numbers
Multiplication & Division
Exponents & Powers of Ten
Order of Operations: Problems with Two or More Operations
1.2 Factors & Fractions

Factors
Average
Multiples
Divisors & Factors
Divisibility Tests

Factors & Fractions
Primes & Composites
Prime Factorization
Least Common Multiple
Fractions & Mixed Numbers: What is a Fraction?

Fractions
Improper Fractions to Mixed Numbers & vice versa
Reducing Fractions
Multiplication of Fractions

Fractions
Division of Fractions
Multiplication & Division of Mixed Numbers
Listing Fractions in Order of Value

Fractions
Addition of Like & Unlike Fractions
Addition & Subtraction of Mixed Numbers

Fractions
Subtraction of Fractions
Order of Operations & Average
1.3 Decimals

Decimal Numbers
Place Value & Word Names
Expanded Form
Decimals to Fractions
Listing Decimals in Order of Value

Decimals
Approximation of Decimals
Addition & Subtraction of Decimals
Multiplication of Decimals

Decimals
Multiplication & Division by Powers of Ten
Division of Decimals
Fractions to Decimals & vice versa
Order of Operations & Average
1.4 Ratio, Proportions & Percents

Ratio & Proportion
Solve Proportions
Word Problems (Proportions)

Percents
What is Percent?
Changing Decimals to Percents & vice versa
Fractions to Percents & vice versa

Percents
Fractions, Decimals, & Percents Review
Solve Percent Problems
Word Problems (Percents)
Business Related Problems
1.5 Measurements

Measurements
English Measurements
Metric Measurements
Conversion of Units
1.6 Geometry

Geometry
Perimeter & Circumference
Area of Common Geometric Figures
Volume of Common Geometric Solids
1.7 Signed Numbers

Signed Numbers
Addition & Subtraction of Signed Numbers

Multiplication & Division of Signed Numbers Review
Order of Operations

Basic Algebra

Solving Equations

Linear Equations & their Graphs

3.1 The Slope of a Line

The Slope of a Line
Definition of Slope
Find the Slope of a Line from a Graph
Find the Slope of a Line from 2 Points
Find the Slope of a Line from an Equation
3.2 Linear Equations

Linear Equations
Write Equations in Slope-Intercept Form
Graph Lines using a Table of Values
Applications of Linear Equations
Standard Form of a Linear Equation
3.3 Graph Linear Equations

Graph Linear Equations
Intercepts of Linear Equations
Graph Lines Using Intercepts
How to Graph a Line using slope-intercept form, y=mx+b
Point-Slope Form of Linear Equations
3.4 Graphing Lines

Graphing Lines
Find the Equation of a Graphed Line
Parallel & Perpendicular Lines
3.5 Variation

Variation
Direct Variation
Inverse Variation
4. Solve & Graph Inequalities

Linear Inequalities
Solve & Graph Inequalities using Addition or Subtraction
Solve & Graph Inequalities using Multiplication or Division

Solve & Graph Multistep Inequalities
Solve & Graph Compound Inequalities
Graph Inequalities with Two Variables
5. Absolute Value

Absolute Value
Definition of Absolute Value
Absolute Value Equations
Applications of Absolute Value
Absolute Value Calculator

Absolute Value Inequalities
Absolute Value Inequality Graphs in Two Variables
Shifts in Absolute Value Graphs
6. Graphs & Functions

Plotting Points & Naming Quadrants Interpreting Graphs

Relations
Relations & Determining Whether a Relation is a Function
Function Notation

Graphs
Connecting Graphs, Tables, & Equations
Write an Equation to Describe a Table
Write an Equation to Describe Pictures
Domain & Range
7. Solve Systems of Equations & Inequalities

Systems of Equations
Introduction to Systems of Equations
Solve Systems of Equations by Graphing
Solve Systems of Equations by Substitution
Solve Systems of Equations by Elimination

Systems of Equations & Inequalities
Inconsistent and Dependent Systems of Equations
Solve Systems using Matrices
Systems of Inequalities
8. Word Problems using Systems of Equations

Word Problems
Mixture Problems
Rate Word Problems
Work Word Problems
Money Word Problems

Word Problems
Age Word Problems
Sum of Digits
Percent Concentration
Selling Multiple Items
9. Exponents

Exponents
Introduction to Exponents
Rules of Exponents
Multiplication & Division Properties of Exponents
Zero & Negative Exponents
Scientific Notation
Simplify Expressions with Exponents
10. Polynomials

Polynomials
Polynomial Vocabulary
Add & Subtract Polynomials

Multiply Polynomials
Multiply Monomials and/or Binomials and FOIL
Multiply Polynomials using Area Models
Multiply Larger Degree Polynomials using Distributing
Multiply Polynomials: Special Cases

Divide Polynomials
Divide a Polynomial by a Monomial
Divide a Polynomial by a Binomial using Long Division
11. Factoring Polynomials

Factoring Trinomials
Greatest Common Factors
Difference of Perfect Squares
Factoring Trinomials, a = 1
Factoring Trinomials with “a” Not Equal to One

Factoring Special Cases
Perfect Square Trinomials
Factoring Trinomials by Grouping

Quadratic Equations & Functions

12.1 Graphs of Quadratics

Graphs of Quadratics
Exploring Quadratic Graphs
Graph Quadratic Equations
Vertical & Horizontal Shifts of Quadratic Graphs
Dilations of Quadratic Graphs
12.2 Solve Quadratic Equations

Solve Quadratic Equations
Vocabulary of Quadratic
Solve Quadratic Equations by Factoring
Solve Quadratic Equations using Square Roots
Completing the Square
12.3 Solve with the Quadratic Formula

Use Quadratic Formula
The Quadratic Formula
The Discriminant
12.4 Applications of Quadratic Equations

Applications of Quadratic Equations
The Vertex & Axis of Symmetry
Applications of Quadratic Equations
13. Radical Expressions & Equations

Radical Expressions
Simplify Radical Expressions
Add & Subtract Radical Expressions
Multiply & Distribute Radical Expressions
Dividing Radicals & Rationalizing the Denominator

Radical Equations
Solve Radical Equations
Graph Radical Equations using a Table
Graph Radical Equations using Shifts
Estimating Square Roots
Cube Roots
14. Rational Expressions & Functions

Rational Functions
Introduction to Rational Functions
Simplify Rational Functions with Factoring & GCFs

Rational Expressions
Multiply & Divide Rationals
Add & Subtract Rational Expressions
Solve Rational Equations with Like Denominators
Solve Rational Equations with Unlike Denominators
15. Introduction to Statistics

Statistics
Mean
Median
Mode
Range
Probability
Scatterplots & Correlations

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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