In this worksheet, algebra learners solve and complete 20 different equations that include combining like terms. First, they identify and define like terms and how they can be combined in solving an equation. Then, students combine like...

In this basic polynomial operations worksheet, students identify polynomials by degree and number of terms, and perform operations of addition, subtraction, and multplication. There are also a few critical thinking questions included....

Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...

This fourth of twelve units in a series continues the investigation of functions through equations and inequalities. However, the modular nature of the lessons in the section make this an excellent resource for any curriculum...

Translate, evaluate, educate. Discover how to translate and evaluate expressions. Young mathematicians first review words and phrases that indicate operations and learn to write algebraic expressions from verbal descriptions....

(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in...

Don't cover up this resource — use it out in the open! Pupils learn how to cover up various parts of a linear equation in order to help solve the equation. A worksheet of problems provides practice with this skill.

Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...

To find x, you have to get it by itself, correct? Individuals solve a linear word problem and share their solutions with others that solved the problem in a similar fashion. They then complete a self-assessment on how they feel about...

Cover it up to reveal the values of variables. Using arrangements of colored tiles representing algebraic expressions, pupils layer them over each other to determine the values of variables. The procedure models the elimination method in...

It seems the post office has run out of stamps! Learners build all the values of postage available if the post office only sells five- and seven-cent stamps. The task provides an opportunity to create an expression in two variables and...

Learn the stories a formula holds. An interesting lesson takes a unique approach to teach how to use formulas. Beginning with a formula, learners predict what the variables stand for and then use the formula to make calculations and tell...

How do you know if a number is divisible? Instructors first prove the divisibility rules for three and four and then class members use this modeling to prove given divisibility rules for eight and nine either individually or in...

Who doesn't like boxes of money? A drag-and-drop interactive lets users separate variables and constants to combine like terms. They answer a set of challenge questions based on the results of the interactive.  

Build the model right out of the box. A few sample items show teachers how Smarter Balanced assessments may approach Claim 4, modeling and data analysis. Pupils use their skills to create equations or expressions to model the situation...

In this distributive property worksheet, students solve and complete 20 various types of problems using the distributive property. First, they simplify by distributing and collecting like terms. Then, students simplify each given...

In this algebra worksheet, students rewrite sentences into algebraic equations using variables and solve for the unknown. There are 10 interactive questions with an answer key.

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...

Students participate in a lesson that covers the concepts of solving equations and inequalities. To master the concept they must demonstrate visually and verbally how both sides of an equation must be balanced. They construct a balanced...

In this limitations of formulas worksheet, students answer four essay questions about functions. Two questions refer to the limitations of formulas. They graph one function and explain how it specifies the rule of the function.

Students identify variables that affect the system, and specify which variables are independent and which are dependent.

In this monomials worksheet, 9th graders solve and complete 27 different problems that include using division to solve. First, they divide powers with the same base by subtracting the exponents. Then, students simplify each expression,...

In this multi-step inequalities worksheet, 9th graders solve and complete 12 different problems that include solving using various steps. First, they use the distributive property to remove any grouping symbols. Then, students simplify...

In this quadratic equations learning exercise, 9th graders solve 10 different problems that include factorable quadratic equations. First, they move all the terms to the same side and set the equation to 0. Then, students factor the...