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...

Solving a murder is like isolating a variable. Using a video on a murder mystery, the narrator introduces the idea of solving a literal equation for one variable. After solving several equations, the class comes up with a set of...

Use the distributive property to solve equations. The sixth lesson in a 33-part series has scholars solve equations that need to be transformed into simpler equations first. Class members apply the distributive property to the equations...

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...

In the eighth segment of a 33-part unit, learners look at equations that do not appear to be linear at first glance. The equations are proportions where the numerators and denominators may have more than one term. To round out the...

Here is a great set of eight scenarios that require the writing of a one-variable inequality and then solving to find the solution. This inequality word problem activity is then followed by the solutions to each of the eight problems.

Eighth graders combine like terms in this properties of variables lesson. Using named items (stars, moons and hearts), they combine like terms using variables. They use the distributive property to combine like terms. Finally, they write...

Always strive to make things better. The second of three activities in the Experimenting with Solar Heaters unit has learners design new solar heaters that are more effective compared to the simple models they used in the previous...

Use the constant of proportionality to relate the independent variable to the dependent variable. The eighth installment of a 22-part series instructs pupils to use the equation to find the constant of proportionality and then write the...

What does it mean to solve an equation? The resource revisits the concept of making a linear equation true. Classmates use algebraic methods to transform sides of equations to expressions with fewer terms. They use substitution to...

Scholars determine how long it takes to build a birdhouse with the second activity on using equations with proportional relationships. The resource uses examples such as birdhouse building and produce prices to encourage pupils to write...

Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils...

Your algebra learners analyze the value of an algebraic expression to decide if it will increase, decrease, or stay the same when one variable is changed as the others stay constant. Their collaborative efforts culminate with a written...

Your class is asked to use inverse operations to solve eleven equations for unknown variables or to rearrange formulas to highlight a quantity of interest. By using the same reasoning as solving one- and two-step equations, algebra...

Teenagers love to think about driving and buying their first car. The intent of this resource is to create an equation for the list price of a car and add the appropriate state tax. Once your teens understand the calculation, ask them to...

Help learners get their facts in line to build and solve complicated linear equations and inequalities. Pupils build upon their knowledge of solving basic equations and inequalities to solve more complex ones. Individuals work with...

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...

Create tables of solutions of linear equations. A lesson has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph. 

Develop another way to find the equation of a line. The 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.

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...

Solving an equation is the art of creating simpler equivalent equations using properties of equality. Here, classes see that solving an equation is not always as easy as guessing. The lesson plan presents linear equations that scholars...

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...

This task gives geometry learners practice in solving radical equations in one variable and zeros in extraneous solutions.

Is there one, none, or more? Through discussion or activity, scholars find the properties of an equation that will determine the number of solutions. They then use the properties discovered to figure out the number of solutions...