## Algebra Worksheets

What is Algebra? There is no denying from the fact that most of the kids fear algebra. Yet despite this fear from students, algebra makes our lives and, especially equation solving easier. Algebra is essentially about solving for the unknowns or substituting real-life variables and then solving the equations for them. For most of us, algebra is the set of rules, formulas, and procedures employed to solve equations. But we often forget that real-life problems are being solved through the manipulation of variables and unknown factors. To define it mathematically, algebra is the branch of mathematics that deals with symbols and the rules used to manipulate these symbols. In basic algebra, those symbols denote quantities without any fixed value, called variables. Algebraic equations are used to define the relationships between these variables. Beyond giving us the solution to real-life problems, algebra is important for honing the reasoning skill of children. It enables them to state their ideas precisely and help them work in a systematic way. This section highlights all of our algebra materials across all grade levels. This topic first shows up around grade 3 and follows students through high school. I am often adding topics to this section. If you can think of anything that I am missing, please let me know and I'll get it up quickly.

- Adding and Subtracting Rational Expressions - These are values where a portion of the fraction is a polynomial.
- Adding, Multiplying, and Subtracting Monomials - Learn how to perform these operations with variables involved.
- Algebraic Expressions - We learn how to write them from math sentences.
- Applying the Remainder Theorem - This is a useful shortcut to use when a function is being divided by a linear polynomial.
- Binomial Theorem for Expansion - This will help you make sense of some unique expressions.
- Binary Operation Tables - We use our understanding of the property of operations to make sense of data sets.
- Combine Like Terms and Expand Terms - One of the fundamental skills that allow you to work with equations and expressions.
- Completing the Square in a Quadratic Expression - This technique is used to solve quadratic equations by adjusting equations to form perfect square trinomials.
- Complicated Expressions - We show you how to work through difficult algebraic tasks.
- Conditional Expressions - This is the foundation of most computer science applications.
- Creating Equations and Inequalities - Learn how to model your math behind a situation you are trying to better understand.
- Creating Equations with Two or More Variables - This is where students often get confused, but with a layered approach we show you how to handle these types of problems.
- Distance Formula - This is how we gauge the distance between two points pretty easily.
- Double Step Algebra - Students will begin to learn how rearrange equations or inequalities with ease.
- Explaining How to Solve Equations - We explore the essence of algebra with this skill.
- Finding and Using the Discriminant - In a quadratic formula, this is what resides beneath the square root symbol.
- Finding Points of Intersection for Complex Equations - If you do not have graph paper available, this will save you a great deal of frustration.
- Finding the Inverse of a Matrix - It is all about swapping position. You just need to know which data to focus on.
- Graphing Equations - We learn how to visualize an equation so that we can better understand the nature of it.
- Graphing Linear Inequalities as a Half-Plane - The goal here is to show where the solution could possibly reside.
- High School Algebra Posters - Great to post on your classroom walls.
- Identifying Zeros of Binomials - This helps you learn to solve binomial equations with a simple factoring trick.
- Interpret the Context of Expressions - It is all about making sense about what is happening in a system.
- Linear Equations as a Matrix Equation - How do we represent values in other ways?
- Multiplying Binomials - This will help you to accurately understand higher level applications of algebra.
- Multiplying Radical Expressions - I find that students need extra time with this specific operation.
- Multiplying and Dividing Rational Expressions - Learn how to process these operations.
- Parentheses, Brackets, and Braces in Math Expressions - What do they mean and how do we manipulate them to our advantage?
- Polynomial Addition and Subtraction - Simple operations that we show you how to set up.
- Polynomial Division - This is an intimidating topic, but we show you how to make it easy.
- Polynomial Multiplication - It is not as complicated as you would think to find the end values of the product of these expressions.
- Pre-Algebra Word Problems - Before you are ready to tackle tougher topics, this is a good place to start.
- Pre-Algebraic Number Sequences and Patterns - We learn how to organize sequences and make sense of them.
- Properties of Exponents - We look at how to evaluate them and understand how you can expand and condense values with them.
- Proving Polynomial Identities - We explore equations that are true for all values that are possible.
- Quadratic Equations: Completing the Square - We introduce you to this method from a different angle.
- Quadratics: Using Square Roots and Zero Property - This will help you learn how to manipulate and use quadratics.
- Rearranging and Understanding Formulas - We just simply learn that what ever we do to one side, we must do to other side.
- Rewriting Expressions - You will sometimes need to do this to help you solve them.
- Rewriting Rational Expressions - You will examine several different methods to get this done.
- Simple Algebra Word Problems - We show you how to spot the variables and write well develop equations for yourself.
- Simple Expressions That Record Calculations - We show you how to develop your own expressions.
- Single Step Algebra Equation Solving - It is all about getting that variable all by itself.
- Single Step Algebra Problems (Addition and Subtraction Based) - We show you how these operations can be used to cancel each other out.
- Single Step Algebra Problems (Division and Multiplication Based) - Another famous pair of operations that knock each other out of the picture.
- Solve Rational and Radical Equations - We explore how to set these up and then just knock them down.
- Solving Basic Function Tables - We learn how to follow and use operational rules.
- Solving Linear Equations and Inequalities in One Variable - This is a good starting point to help you compare the two.
- Solving Simple Equations With Fractions and Decimals - This is the second layer of math embedded in most equations.
- Solving Systems of Equations - Systems pop up when you two or more equations that share the same set of unknowns.
- Solving Systems Word Problems - We expand this skill to everyday situation-based problems.
- Solving Systems of Linear Equations by Graphing - This is a unique, but effective way to get the job done.
- Solving Simultaneous Equations (Linear and Quadratics) - We show you how to work within and off of both of the formats.
- Solving Quadratic Equations - Students will examine the basic problems they will run into with this topic.
- Solving Quadratic Equations By Factoring - If you get good with this technique it will always be your go to method.
- Using Graphs of Equations - Students will begin to use graphs to solve all types of different problems.
- Using the Quadratic Formula - This allows you to solve natural quadratic equations.
- Word Problems That Require Equations or Inequalities - These are some pretty complex word problems for some cool situations.
- Writing Expression for Geometric Sequences - These are sometimes referred to as geometric progressions.