Note: this page contains legacy resources that are no longer supported. You are free to continue using these materials but we can only support our current worksheets, available as part of our membership offering.

### Related Resources

The various resources listed below are aligned to the same standard, (7EE03) taken from the CCSM (Common Core Standards For Mathematics) as the Expressions and equations Worksheet shown above.

*Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.*

### Worksheet

#### Simple Equations

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

*Solve real-life and mathematical problems using numerical and algebraic expressions and equations*

Welcome to the Algebra worksheets page at Math-Drills.com, where unknowns are common and variables are the norm. On this page, you will find Algebra worksheets mostly for middle school students on algebra topics such as algebraic expressions, equations and graphing functions.

This page starts off with some missing numbers worksheets for younger students. We then get right into algebra by helping students recognize and understand the basic language related to algebra. The rest of the page covers some of the main topics you'll encounter in algebra units. Remember that by teaching students algebra, you are helping to create the future financial whizzes, engineers, and scientists that will solve all of our world's problems.

Algebra is much more interesting when things are more real. Solving linear equations is much more fun with a two pan balance, some mystery bags and a bunch of jelly beans. Algebra tiles are used by many teachers to help students understand a variety of algebra topics. And there is nothing like a set of co-ordinate axes to solve systems of linear equations.

### Most Popular Algebra Worksheets this Week

### Properties and Laws of Numbers Worksheets

### The Associative Law

The **associative law** or **associative property** allows you to change the grouping of the operations in an arithmetic problem with two or more steps without changing the result. The order of the numbers stays the same in the associative law. As with the commutative law, it **applies to addition-only or multiplication-only** problems. It is best thought of in the context of order of operations as it requires that parentheses must be dealt with first. An example of the associative law is: (9 + 5) + 6 = 9 + (5 + 6). In this case, it doesn't matter if you add 9 + 5 first or 5 + 6 first, you will end up with the same result. Students might think of some examples from their experience such as putting items on a tray at lunch. They could put the milk and vegetables on their tray first then the sandwich or they could start with the vegetables and sandwich then put on the milk. If their tray looks the same both times, they will have modeled the associative law. Reading a book could be argued as either associative or nonassociative as one could potentially read the final chapters first and still understand the book as well as someone who read the book the normal way.

The Associative Law of Addition (Whole Numbers Only)The Associative Law of Multiplication (Whole Numbers Only)

### Missing Numbers or Unknowns in Equations Worksheets

Missing numbers in equations worksheets in three types: blanks for unknowns, symbols for unknowns and variables for unknowns.

### Algebraic Expressions Worksheets

### Using the **distributive property**

The distributive property is an important skill to have in algebra. In simple terms, it means that you can split one of the factors in multiplication into addends, multiply each addend separately, add the results, and you will end up with the same answer. It is also useful in mental math, and example of which should help illustrate the definition. Consider the question, 35 × 12. Splitting the 12 into 10 + 2 gives us an opportunity to complete the question mentally using the distributive property. First multiply 35 × 10 to get 350. Second, multiply 35 × 2 to get 70. Lastly, add 350 + 70 to get 420. In algebra, the distributive property becomes useful in cases where one cannot easily add the other factor before multiplying. For example, in the expression, 3(x + 5), x + 5 cannot be added without knowing the value of x. Instead, the distributive property can be used to multiply 3 × x and 3 × 5 to get 3x + 15.

Distributive Property (Answers do not include exponents)Distributive Property (Some answers include exponents)Distributive Property (All answers include exponents)

### Exponent Rules and Properties

### Linear Expressions & Equations

Linear equations worksheets including simplifying, graphing, evaluating and solving systems of linear equations.

Solving linear equations with jelly beans is a fun activity to try with students first learning algebraic concepts. Ideally, you will want some opaque bags with no mass, but since that isn't quite possible (the no mass part), there is a bit of a condition here that will actually help students understand equations better. Any bags that you use have to be balanced on the other side of the equation with empty ones.

Probably the best way to illustrate this is through an example. Let's use 3*x* + 2 = 14. You may recognize the *x* as the unknown which is actually the number of jelly beans we put in each opaque bag. The 3 in the 3*x* means that we need three bags. It's best to fill the bags with the required number of jelly beans out of view of the students, so they actually have to solve the equation.

On one side of the two-pan balance, place the three bags with *x* jelly beans in each one and two loose jelly beans to represent the + 2 part of the equation. On the other side of the balance, place 14 jelly beans and three empty bags which you will note are required to "balance" the equation properly. Now comes the fun part... if students remove the two loose jelly beans from one side of the equation, things become unbalanced, so they need to remove two jelly beans from the other side of the balance to keep things even. Eating the jelly beans is optional. The goal is to isolate the bags on one side of the balance without any loose jelly beans while still balancing the equation.

The last step is to divide the loose jelly beans on one side of the equation into the same number of groups as there are bags. This will probably give you a good indication of how many jelly beans there are in each bag. If not, eat some and try again. Now, we realize this won't work for every linear equation as it is hard to have negative jelly beans, but it is another teaching strategy that you can use for algebra.

### Linear Systems

### Quadratic Expressions & Equations

Quadratic expressions and equations worksheets including multiplying factors, factoring, and solving quadratic equations.

Whether you use trial and error, completing the square or the general quadratic formula, these worksheets include a plethora of practice questions with answers. In the first section, the worksheets include questions where the quadratic expressions equal 0. This makes the process similar to factoring quadratic expressions, with the additional step of finding the values for x when the expression is equal to 0. In the second section, the expressions are generally equal to something other than x, so there is an additional step at the beginning to make the quadratic expression equal zero.

### Other Polynomial and Monomial Expressions & Equations

Factoring non-quadratic expressions worksheets with various levels of complexity.

### Inequalities Including Graphs

Inequalities worksheets including writing the inequality that matches a graph and graphing inequalities on a number line.

## Pre-Algebra Worksheets

### Equations Worksheets

Here is a graphic preview for all of the Equations Worksheets. You can select different variables to customize these Equations Worksheets for your needs. The Equations Worksheets are randomly created and will never repeat so you have an endless supply of quality Equations Worksheets to use in the classroom or at home.

Our Equations Worksheets are free to download, easy to use, and very flexible.

These Equations Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Click here for a Detailed Description of all the **Equations Worksheets**.

### Quick Link for All Equations Worksheets

**Click the image to be taken to that Equations Worksheets.**

### Detailed Description for All Equations Worksheets

**One Step Equations Containing Integers Worksheets**

These Equations Worksheets will produce one step problems containing integers. These worksheets will produce ten problems per worksheet. These Equations Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

**One Step Equations Containing Decimals Worksheets**

These Equations Worksheets will produce one step problems containing decimals. These worksheets will produce ten problems per worksheet. These Equations Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

**One Step Equations Containing Fractions Worksheets**

These Equations Worksheets will produce one step problems containing fractions. These worksheets will produce ten problems per worksheet. These Equations Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

**One Step Equation Word Problems**

These Equations Worksheets will produce one step word problems. These worksheets will produce ten problems per worksheet. These Equations Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

**Two Step Equations Containing Integers Worksheets**

These Equations Worksheets will produce two step problems containing integers. These worksheets will produce ten problems per worksheet. These Equations Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

**Two Step Equations Containing Decimals Worksheets**

These Equations Worksheets will produce two step problems containing decimals. These worksheets will produce ten problems per worksheet. These Equations Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

**Two Step Equation Word Problems**

These Equations Worksheets will produce two step word problems. These worksheets will produce ten problems per worksheet. These Equations Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

**Multiple Step Equations Containing Integers Worksheets**

These Equations Worksheets will produce multiple step problems containing integers. These worksheets will produce ten problems per worksheet. These Equations Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

**Multiple Step Equations Containing Decimals Worksheets**

These Equations Worksheets will produce multiple step problems containing decimals. These worksheets will produce ten problems per worksheet. These Equations Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

**Variables Both Sides Integers Worksheets**

This pre-algebra worksheet will produce problems with variables on both sides and will also contain integers. These worksheets will produce ten problems per worksheet. These Equations Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

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## Worksheet subtraction equations

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