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...

Intersections become solutions. Scholars watch a video on using a graphing calculator to find the solution to an equation in one variable. While watching the presentation, pupils practice working some of the examples and compare their...

Learning how a bank account works is a useful tool. The exercise in the resource is to deduct rent from a checking account and create an equation from a description. Participants then graph the balance of the bank account versus months...

There's more than one way to solve an equation — three, actually. Scholars learn how to solve simple linear equations in one variable using three different methods, which include using balance scales, using decomposition (e.g., turning...

In this algebra activity, students solve one variable inequalities, compound inequalities, and absolute value inequalities and then graph the solution set. There are 10 problems to solve on this activity.

This is a nice worksheet on solving one variable and compound inequalities. Learners solve inequalities and graph the solution on a number line.  The two page worksheet contains explanation and sixteen practice problems. 

Add more points on the graph ... and it still remains a line! The 13th installment in a series of 33 leads the class to the understanding that the graph of linear equation is a line. Pupils find several solutions to a two-variable linear...

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...

Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.

Develop another way to find the equation of a line. The instructional activity introduces the procedure to find the equation of a line given two points on the line. Pupils determine the two points from the graph of the line.

In this simultaneous equations worksheet, pupils solve systems of equations. They graph systems of equations and write equations to fit given situations. This two-page worksheet contains three multi-step problems.

Determine what the class knows about linear equations. The three-question mid-module assessment is segment 15 in a 33-part series. The assessment includes writing and solving one-variable linear equations and graphing proportional...

Model the effects of practice on texting speed. Pupils develop a linear equation that models the change in texting speed based on the amount of practice. The sixth performance task in an eight-part series requires learners to solve...

In this graphing systems of equations worksheet, 9th graders solve and graph 8 different problems that include solving various systems of equations. First, they use the graphs show to determine whether each system has one solution, no...

In this linear function worksheet, students use tables to find the values of functions. They graph linear functions and explore the significance of the coordinates. This two-page worksheet contains 4 multi-step problems. Graph paper is...

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...

For this one variable inequalities learning exercise, middle schoolers circle the correct solutions, complete graphing problems, and solve for the variables. Students complete 37 problems.

In this graphing worksheet, students solve and graph linear inequalities on a coordinate plane. Inequalities contain one variable. The solution set is sketched and colored. This worksheet contains eight problems on two pages, with an...

Show your class that linear equations produce graphs of lines. The 20th segment in a unit of 33 provides proof that the graph of a two-variable linear equation is a line. Scholars graph linear equations using two points, either from...

Graph linear equations in standard form with one coefficient equal to zero. The lesson plan reviews graphing lines in standard form and moves to having y-coefficient zero. Pupils determine the orientation of the line and, through a...

Get hands on with solving systems of equations graphically. A solid lesson plan uses guided practice to show how to solve systems of linear equations. It allows time for sharing ideas and provides a printable matching activity...

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...

The concept of absolute value can be difficult for learners to grasp. Reinforce their understanding of a basic absolute value expression and connect it to solving equations and inequalities. Scholars write two equations/inequalities to...

Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the...