Investigate field properties of real numbers. Scholars use a table for a given operation to determine the identity element. They use the same table to find a missing value in an equation.

Students explore algebraic concepts using real life situations.  In this equations lesson, students develop strategies to solve missing number problems. Students participate in a board game based on algebraic equations.

Three-digit numbers are the name of the game here! Scholars convert 456 to expanded form, then complete one addition and one subtraction problem. The equations are written vertically, and the addends produce a four-digit number. There is...

It is the job of your mathematicians to figure out how fast Anya is riding her bike when meeting her friend. The problem shares the distance, time spent riding, and Taylor's speed leaving the last variable for your learners to solve. Use...

An 80-page resource provides four lessons and all associated worksheets to teach middle schoolers about expressions and equations. The lessons are hands-on, using games, "integer chips," a balance and cubes, and cut and paste activities....

Help plan a road trip with linear equations. Scholars consider two different rental car companies and write equations representing the cost for each company. They graph the system of equations to determine the conditions under which each...

Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...

Fifth and sixth graders compare decimals to the place-value structure in the base-ten number system. They represent fractions as parts of unit wholes, as parts of a set, as locations on a number line, and as divisions of whole numbers....

Create a linear equation for a problem when the intercept information is not given. The two-day instructional activity introduces the class to the point-slope form, which can be used for problems when the initial conditions are not...

The sixteen problems in this resource present opportunities for pupils to practice substituting into algebraic expressions. Scholars evaluate algebraic expressions for given values of the variables. In a few cases, class members need to...

Three chapters worth of integer, fraction, and decimal problems to give you every type of question your learners need to be a successful mathematician. Thankfully the work has been done for you and this is a huge resource full...

Students explore numbers patterns and write equations to describe the pattern. They apply the equations to further the patterns.

In this using inverse operations to solve fraction equations worksheet, students review the steps and examples, solve the problem, and use substitution to check their answer. Students solve one problem.

In this solving literal equations instructional activity, students solve 30 equations. Students solve each equation for a given variable, but do not solve for a number answer.

Learners solve literal equations.  In this Algebra I/Algebra II instructional activity, learners view a PowerPoint presentation about solving literal equations.  Learners have the opportunity to complete an interactive...

In this solving quadratics worksheet, 10th graders write radicals in the simplest form. They solve quadratics by factoring, completing the square, and through the use of the quadratic formula. Students determine the vertex and axis of...

In this half-life worksheet, students are guided through the steps of solving radioactive decay problems. They solve nine problems finding rates of decay, half-life and quantities of substances remaining after given amounts of time.

There is only one introductory algebra word problem here and an explanation is detailed below. Because of this format, consider projecting it as an all-class warm up. Learners examine a scenario where Sam can fill a box in three minutes,...

For this nonlinear systems of equations worksheet, learners solve nonlinear equations through elimination. They read statements, write equations, and solve systems of equations. This two-page worksheet contains 20 multi-step problems.

In this math learning exercise, students practice solving systems of linear equations using the elimination and substitution methods. They also graph the solutions.

Young scholars rewrite word problems using the correct symbols. In this algebra instructional activity, students simplify algebraic expressions and use the correct representation of the unknown. They solve equations using one and two...

This study guide is a great resource to help you present the steps to graphing linear inequalities. Show your class two different ways to graph an inequality and work on a real-world example together. The document could also be easily...

Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions. 

Graph equations of lines using the slope-intercept method or by plotting both x and y intercepts. Determine if two lines are parallel or perpendicular by comparing their slopes. This handout includes step-by-step directions and four...