Welcome to the Algebra worksheets page at Math-Drills.com, where unknowns are common and variables are the norm. These worksheets are mostly aimed at the middle school student, but we have delved into a few high school topics.
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.
Missing Numbers Worksheets
The missing numbers worksheets below come in three versions. The simplest one includes only blanks; the next one includes symbols for the unknowns; and the third version includes variables for the unknowns. The blanks version is a good way to start some algebraic thinking in younger students.
Equalities and Inequalities
Translating Algebraic Phrases Worksheets
Here is a great handout on translating English phrases into algebraic expressions. Please note that this is an external document found on Michael Bowen's Ventura College Start Page.
| Translating Simple Algebraic Phrases | A B C D E F G H I J |
Rewriting Formulas Worksheets
Simplifying Algebraic Expressions Worksheets
Evaluating Algebraic Expressions Worksheets
| One Variable; One Step; No Exponents | A B C D E F G H I J All |
| One Variable; One Step | A B C D E F G H I J All |
| One Variable; Two Steps | A B C D E F G H I J All |
| Up to Two Variables; Two Steps | A B C D E F G H I J All |
| Up to Two Variables; Three Steps | A B C D E F G H I J All |
| Up to Three Variables; Four Steps | A B C D E F G H I J All |
| Up to Three Variables; Five Steps | A B C D E F G H I J All |
Linear Equation Graphs
Need some practice graphing linear equations? Look no further than this section.
Solving Linear Equations Worksheets
You may have been intrigued by our comment above about solving linear equations with jelly beans. Here is how you might accomplish that. 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 3x + 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 3x 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.
Systems of Linear Equations (or Linear Systems) Worksheets
| Two Variables; Easy | A B C D E F G H I J All |
| Two Variables; Easy including negative values | A B C D E F G H I J All |
| Two Variables | A B C D E F G H I J All |
| Two Variables including negative values | A B C D E F G H I J All |
| Three Variables; Easy | A B C D E F G H I J All |
| Three Variables; Easy including negative values | A B C D E F G H I J All |
| Three Variables | A B C D E F G H I J All |
| Three Variables including negative values | A B C D E F G H I J All |
| Solve by Graphing (Solutions in first quadrant only) | A B C D E F G H I J All |
| Solve by Graphing (Solutions in all quadrants) | A B C D E F G H I J All |
Inverse Relationships Worksheets (One Blank)
All Multiplication and Division Facts 1 to 18 in color (no blanks)
Inverse Relationships Worksheets (Two Blanks)
| Addition and Subtraction (Sums 1-18) | A B C D E |
| Addition and Subtraction (One Focus Digit per Page) | 1 2 3 4 5 6 7 8 9 |
| Addition and Subtraction (One Focus Digit per Page) | 10 11 12 13 14 15 16 17 18 |
