Alegebra amateurs identify the slope and the y-intercept given a linear equation in slope-intercept form by correctly completing some in class problems. They write the linear equation in slope-intercept form that corresponds to the given...

How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...

Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and...

Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...

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...

A worksheet that offers four problems to practice solving simultaneous equations by graphing. Equations are presented in slope-intercept form or standard form. Problems include two with unique solutions, one with no solution, and one...

What a great classroom resource! The intention of this lesson is to show that real-world math can and should be applied to the community in which your students reside. The class relates properties of equations to solving for species...

What does a slope of 2/3 mean? Develop an understanding of the key features of a linear function. Pupils graph the linear functions and explain the meaning of the slope and intercepts of the graphs. 

Getting the best pick of the apples depends on where to pick. The short assessment presents a situation in which class members must analyze a real-world situation to determine the cost of picking apples. The pricing structures resemble...

When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.

Life isn't fair ... like inequalities. After first reviewing inequality symbols and how to read inequality statements, learners discover how to solve one-step inequalities and graph their solution sets.

You'd feel bad if someone called you by the wrong name — and equations are no different. Young mathematicians learn the vocabulary associated with equations and expressions identifying these components in sample equations.

Demonstrate the abstract process of solving equations by using algebra tiles as a concrete representation. Scholars begin by solving equations through the use of manipulatives. As they gain more confidence, they progress to...

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...

An inquiry-based algebra lesson explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the...

Middle schoolers identify an equation in one variable that models a restaurant order. They then solve the equation to determine the number of people who had each type of meal.

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...

Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the...

In this linear equations worksheet, students solve six linear equations and check their work. Then they translate the next 4 problems into an equation and solve those too. Students first combine like terms when necessary and then solve...

For this combining like terms worksheet, students solve for "x" by combining like terms in each math equation. Each problem contains two positive variable terms. Students add the coefficients to combine them. They subtract the constant...

You have to love lessons that foster problem solving strategies. This one has upper graders devise and employ their own strategy to solve given problems after they have used classics like guess/check, substitution, make a table, and look...

Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...

In this linear equations worksheet, 7th graders solve and complete 3 various types of problems. First, they write down what is described in the form of an equation. Then, students solve the equations for each variable.

In this linear equations instructional activity, students solve 9 different linear equations by applying the point-slope formula in each. First, they determine the linear equation of each. Then, students use the slope and one point of...