A different way to look at integers is on this number line with variables in place of numbers. Learners are to look at different expressions and describe why they think the answer would be positive or negative, depending on the location...

In this math activity, students solve the expressions with using the values of the variables to find the solutions. They also solve the set of proportions.

In this equations review worksheet, students solve algebraic equations with one variable.  They use inverse operations to solve for the unknown.  Students translate word sentences to number sentences and then solve.  This...

Practice solving two equations with two unknowns. Here are five problems for using the substitution method. Included are clear, concise step-by-step instructions for the learner to follow. Problems start out easy and gradually get...

In this simplify expression worksheet, students combine like terms to simplify an algebraic expression. This one-page worksheet contains 9 problems. Answers are provided at the bottom of the page.

Two-variable equations can express a constant rate situation. The lesson presents several constant rate problems. Pupils use the stated constant rate to create a linear equation, find values in a table, and graph the points. The resource...

Challenge your mathematicians to simplify and solve a variety of different equations. This learning exercise focuses on multi-step problems that begin with combining like terms and advance toward solving equations with variables on both...

It's the classic please excuse my dear aunt sally strategy to remembering the order of operations. Young mathematicians practice to develop an understanding of the order of operations. Examples and practice problems include...

What is absolute value? What is an absolute value function? Emerging mathematicians solve equations containing variables inside an absolute value sign.  They graph each function on a coordinate plane and identify the maximum and...

Scholars will solve problems, create patterns, and write algebraic expressions. In addition, they will learn how to represent a number with a variable.

Here is a one-variable word problems worksheet in which learners complete word problems dealing with all four operations and one variable. They complete a total of 18 problems.

Students explore integers through a review of basic knowledge and understanding of integers. They order integers on a number line and evaluate integer expressions with variables. Students order values from variable expressions on a...

Numbers that are very large or very small are difficult to express in standard notation. Pupils learn how to convert between standard and scientific notation. They also multiply and divide the numbers in scientific notation. 

Positive or negative, zero or no solution, are all possibilities for the solution of a linear equation. Here the resource gives examples of linear equations in one variable and their type of solutions. The resource comes with commentary...

Adolescents love to shop, especially when an item is discounted. Here, shoppers only have a set amount of money to spend. Will they be able to make a purchase with the discount and tax added in? Percent discounts can be calculated...

Students factor a difference of two squares.  In this factoring a difference of two squares lesson, students use manipulates cut from a piece of paper to illustrate the difference of two squares.  Students illustrate the...

For this linear expressions worksheet, learners simplify given expressions using the FOIL method. They square linear expressions. This two-page worksheet contains two types of problems: some with a single variable, and some with two...

Pre-algebra pupils need to understand that two expressions are only equal if they have the same value. Show them that once the expression is multiplied by a number, the value of the expression changes. It makes for a good lead-in to...

First, middle school mathematicians read phrases and translate them into a variable expression. Then, they make statements that explain expressions. On a second page, they combine variables to simplify expressions, and then they...

Ensure your eighth graders get the most out of their math education with this series of Common Core checklists. Rewriting each standard as an "I can" statement, this resource helps teachers keep a record of when each standard was...

Help remove some of the confusion surrounding the addition and subtraction of radical numbers with this set skills practice problems. Taken straight from the pages of a math text book, this resource provides learners with...

How are functions related to chicken nuggets? A video teaches the concept of a function using the idea of a nugget-making machine as an analogy for a function machine. Learners determine if a relation is a function from an equation...

Root for your pupils to learn about roots. Young mathematicians first review the meaning of squares and square roots. They then use this knowledge to simplify square roots of monomials with variables.

Build upon prior equation writing experience to create more complicated equations. Lesson one in a 33-part unit builds upon the class members' sixth and seventh grade experience of writing linear equations. Several examples...