When is the last time you assigned your students only one problem? This seemly simple problem requires learners think like a mathematician and reason about how to solve this compound inequality in one variable. More than just using...

Sometimes, equality just doesn't happen. Scholars apply their knowledge of solving equations to identify values that satisfy inequalities in the 34th installment of a 36-part module. They test given sets of numbers to find those that are...

Provide class members with an opportunity to practice reasoning. A resource contains six skill-based items aligned to the Common Core. The items require pupils to reason abstractly and attend to precision.

Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...

So many different kinds of equations and inequalities! Learners solve equations and inequalities with quadratics and other higher-order polynomials. They then classify the equations based on the number of solutions.

Teach your class to think outside the box. Scholars use the concept of equality to solve a problem in the assessment task. They determine how to use a scale to identify the one box out of a set of nine boxes that is heavier than the others.

This resource is part of a series which expects participants to be familiar with graphing inequalities on a number line. It is a word problem that asks your class to graph a discrete solution set and interpret it in the context of an...

Tap into the competitive nature of teenagers as your class practices setting up and solving rational equations. This activity starts with a specific ratio of games won to games played, then asks how many more games must be played to...

Substitution is still the method of choice to verify number sentences. The detailed lesson plan has young mathematicians determining conditions for when number sentences are true or false through substitution. They learn to express these...

True or false? Scholars determine the truth value of equations and inequalities through substitution. All values to use for substitution are given with each equation or inequality. This is the 24th instructional activity in a module of 36.

Discover how to solve systems of inequalities by graphing. An informative video shows pupils how to determine the solution set after graphing each inequality of a system. To finish, a worksheet gives them a chance to practice this skill.

Creating equations with one variable  to solve real-world-type problems is a key skill any algebra learner needs to master. Here the focus is on realizing that one can write the equation in different ways depending upon how one...

Often inequalities exist in many real-world contexts but young math learners struggle with understanding how to represent that relationship in a simple equation using an inequality. This activity focuses on the basic concepts by using...

Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...

Give the class a mental work out with an assessment task in which young mathematicians compare several gym membership options. They use substitution to calculate the cost for given numbers of months.

Construct an equation or an inequality that models a given context. Modeling expressions can be quadratic, rational, or exponential. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video,...

Twenty problems present a variety of practice solving inequalities in one variable. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution"...

Practice solving two-step inequality word problems.

Try some self-correcting practice two-step inequality word problems.

Check your understanding of equations and inequalities by completing this multiple-choice practice test. You may use a graphing calculator to solve the problems and check your answers at any given time.

Practice choosing inequalities that represent a graph.

These examples can help you solve absolute value inequalities. They show each step and are easy to follow. The last example demonstrates how to graph the solution.

Given a two-variable linear inequality, check whether a given pair of values is a solution of the inequality. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.

In this exercise, students practice writing inequalities to describe real-world situations. Students receive immediate feedback and have the opportunity to get hints and try questions repeatedly.