Print out these great worksheets that focus on algebra and the core skills that work with equations.

Algebra is the fundamental approach to critical thinking skills. Engineers spend their entire living in a world of problems. They are taught to start by approaching a successful outcome by thinking in and algebraic manner. This starts by asking ourselves what do we know? Secondly, what do we not know? This leads us to determine a procedure to jump from problem to solution. This can be used to determine which product offers the best price. It can also help us analyze complex situations that we really are stumped with. Algebra is one of the core math skills used by successful people across the global economy. Basic word problems lead us to the fundamental use of algebra in trading goods and services. Algebra is based on the use of arithmetic (addition, subtraction, multiplication, and division). Algebra takes it a step further by adding an unknown usually denoted by the symbol x. The letter Xx is really popular. The symbol or variable is just a place holder telling us, that is what we are trying to find or determine. Almost all algebra involves equations. Equations are math statements that tell us that two things have the same value (are equal). The knowns help us find the unknowns. For example 8 + 3 = x or more advanced where x - 3 = 8.

The biggest thing to remember, when working with algebra, is that the unknown symbols have very different values in different problems. The unknown symbols are always constant when in the same problem. For example if you have a symbol x listed two or more times, x has the same value throughout the entire problem. The algebra worksheets found below cover a wide range of skills that start in late elementary school and pivot all the way to complex high school skills. The topics are arranged alphabetically to make them easier to find. While we would like to arrange them by difficulty (grade level) we find it paramount to allow teachers an easier way to find what they need because there is a great deal of carry over between levels.

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Algebra Worksheet Categories

Click any of the images or words below to print out those algebra sheets.

Absolute Value

We show students that this simply indicates how far away a value is from zero. It does not matter if the value is negative or positive, the numbers line shows that it just is an expression of how far to the left or right that we move.

Algebraic Fractions

These are simply fractions that have some form of variable either in the numerator or denominator of a fraction. The only known is that the variable can not be equal to zero.

Algebraic Representations

This is a series of lessons and worksheets that show you how to convert a math statement into an algebraic equation which can make it create a sense of being and quickly lead to a solution.

Associative Property

This simply says that no matter how you arrange a sum of three or more numbers the outcome will be the same. This also applies to multiplication.

Binary Operations

These types of operations just look at many different ways to combine two parts to create some form of whole value. N this case we look at various ways to combine two of the same types of objects.

Binomial Multiplication

We look at how to find the product between expressions that have two terms. Which often starts by using the FOIL method and then ending in combining like terms.

Combine Like Terms

This is the fundamental first step paradigm in all forms of algebra. Start by finding things that are alike and put them together over and over. This will lead you down the right path just about always.

Distributive Property

This is literally one of the most used and often cited properties in math. If you were to follow it you would multiply each addend found within parentheses by themselves and then just sum up the left products.

Equations With Radicals

Your goal here is to get that radical expression all by itself.

Exponential Growth

We look at how things almost virally increase in value and continue up the curve. This follows a regularly scheduled interval.

Factorial Notation

This soundly says to multiply all the numbers you find down from the number that we point out.

Finding the X and Y Intercepts

This helps you determine where a line or an equation of a line passes over the x or y-axis on a graph.

Function Tables

This is a data table that explores the relationship between input and output values based on a system. We will show you how to master these systems.

Irrational Numbers

For those times when you have a real number that not matter how hard you try, you cannot write it as a simple fraction.

Linear Systems (Algebraic Solutions)

These looks at equations that are poised with two variables. We show you how to solving them by graphing, using substitution and/or the elimination method.

Math Symbols

This really helps students become comfortable with the concept of a variable.

Modeling Linear Equations

When build these by first identifying the slopes and the locating the intercept, which just require you to set their values to zero.

(Cyclic) Nature of the Powers of i

The mystical imaginary unit (i) follows a pattern when raised in power. We show you how to use this pattern to your advantage.

Properties of Real Numbers

We look at all the main properties: associative, closure, commutative, distributive, identity, inverses, and zeroes.

Proportional Relationships and Slope

We look for consistent ratios to form a relationship. They can also share the same rate of change.

Radical Operations

This skill helps us learn how to simplify and solve radical equations and expressions.

Set Builder and Interval Notation

We look at several different ways to notate data and arrange it in a way to make more sense of it for your data analysis.

Simplifying Algebraic Fractions

Make sure you understand how to find factors before you get into this section. I sometimes see students get too deep with this topic without having al the background that is needed.

Simplifying Radicals

We walk you through our four-step model for solving these. Make sure you fully understand prime factorization before you dive into this section.

Simultaneous Equations

We look at two equations that are missing all the same things and need to work on together.

Simplifying Powers

The easiest way to handle this is multiply any exponents that share the same base.

Slope Intercept Form

This is a very trendy way to form a straight line. It is also one of the easiest. Once you understand the components of y= mx + b it is pretty simple.

Slope of a Line

This just tells you the pitch of line (how fast it is rising or diving).

Slope of Parallel / Perpendicular Lines

What makes two lines parallel is that they are not located on the same line but have the same slope. Perpendicular lines are the negative reciprocals to one another.

Solving Linear Equations

The goal here is to find the value for the variables that makes the equation true.

Square Roots

You will learn how to determine this as perfects and partials.

Squares and Square Roots

It's funny how we work on these two together since they are inverses and cancel on another out.

Undefined Algebraic Fractions

We look at different ways to take the legs out from under the fractions that we come across.

Variables on Both Sides

We show you how to isolate each of the variables and then plug them back into to make sense of it all.

Writing Sentences As Equations

We show you how to identify all the known and unknown parts of a well thought out equation. You are given a sentence and asked to generate your own equation based on it.

X and Y Intercepts

This is where the line crosses each axis. If you know both of them, you know enough about the line to model an equation for it.