These worksheets will teach your students how to rewrite expressions by using their multiplicative factors.

When we factor something, we take a single expression and rewrite its equivalent as a multiplication problem. We are trying to determine what was multiplied to make what we see in the expression. The general process that I try to follow is to identify any common factors and pull those out of the expression. I then look for like terms that can be removed and anything that may be combined. The more practice you get with this, the easier it will be for you. All of the expressions you will be given can be rewriting in a different mathematical form. We do this to provide our readers with a more clearly workable solution. In most cases, you start with a binomial and you will explain this to at least a trinomial. You should know the significance of each piece of an expression. That includes every variable, component, and exponent. The opposite of this would be called expanding, just for future reference.

Your students will use the following activity sheets to practice converting given expressions into their multiplicative factors. These worksheets offer problem sets at both the basic and intermediate levels. These worksheets explain how to rewrite mathematical expressions by factoring. This is a slightly advanced skill that will serve them well when faced with algebraic expressions.



Get Free Worksheets In Your Inbox!


Print Rewrite by Factoring Worksheets

Click the buttons to print each worksheet and associated answer key.

Rewrite by Factoring Lesson

This worksheet gives step-by-step instructions on how to rewrite an expression by factoring. A sample problem is solved, and two practice problems are provided.

Worksheet

Students will learn how to rewrite mathematical expressions over a series of ten problems that are provided.

Rewriting Mathematical Expressions

We focus this on just using variables. It is helpful to remind students that these unknowns are equivalent to numbered values.

Review and Practice

We can quickly recognize that both terms contain the factor u in common in the given expression. The right hand side of the equation is in factored form because it is a single term only.

Rewriting by Factoring: Quiz

This is a great way to see how you are doing with this skill and identify any weak points in your process.

Rewriting by Factoring: Check Your Skills

Finish up each problem by making sure that the factored expression is mathematically equivalent to the original expression and is easily verified by multiplication.

How to Rewrite an Expression

This worksheet guides the students through the skill and then sets them off on their own with it.

Refresh

This worksheet can be used as a reminder of the skill and makes for a wonderful homework sheet.

Skills Practice

Each problem is sectioned off by a box to concentrate your work for each solution.

Rewriting Two and Three-component Expressions

We start to look at slight more complex expressions and how to start to break them down into their components.

Rewriting Multiple Variable Components by Factoring

Students will rewrite two and three-component mathematical expressions containing multiple variables by factoring. Ten problems are provided.

Classroom Warm Up

This can be used as a whole class activity. Many teachers helpful to do this on an overhead or whiteboard.

Practice Drill

There is plenty of whitespace provided here to allow you to spread out your work.

Rewriting Mathematical Expressions

Ten problems are provided. Students will practice their factoring skills by rewriting each expression.

Rewriting Two, Three, and Four-component Expressions

Students will rewrite two, three, and four-component mathematical expressions over the course of ten problems.

Intermediate Level Worksheet

Students will rewrite intermediate-level expressions by factoring. Ten problems are provided.

More Intermediate Level Factoring Problems

Intermediate-level factoring problems allow students to practice rewriting mathematical expressions using the same format we have been working with.