Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...

Multi-step problems are part of the progression when learning to solve equations. These 12 problems require only two steps to arrive at an answer. Either print the page out to assign as homework, or have learners write down the problems...

In this Algebra I learning exercise, 9th graders explore the basic of beginning algebra:  the order of operations, integer operations, translating phrases and sentences, and solving basic one-step equations.  The six page...

What percent of the mixture is juice? Pairs use their knowledge of proportions to determine what percent a mixture is juice given the percent of juice in the components. Pupils use the procedure learned with the juice mixture problem to...

How many large and small watermelons did he sell? Just use the given information to write and solve a system of equations! The two videos accompanying the lesson explain the substitution method and then introduce problem solving. The...

In this math worksheet, learners create and solve equations with the help of Algebra Tiles. Then they apply formulas for geometry to find the perimeter of a polygon.

Determining the number of solutions is an important stepping stone to higher math. For this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...

In this algebra worksheet, students solve quadratic functions through factoring and graphing. They solve for the area of a rectangular area. There are 20 questions.

In this algebra activity, students solve linear equations using one and two steps. They solve systems of equations using substitution and elimination with graphing. There are links for ready made tests and quizzes.

Single-step addition or subtraction operations are applied in order to solve these 12 simple equations. An answer key is available, not so much for you, but perhaps to be used by learners as a self-correction tool. Note that the...

In this prealgebra activity, pupils perform addition, subtraction, multiplication, or division operations to solve for an unknown. There are 12 problems to be solved. Use this as a quiz to assess how well your class is grasping the skill...

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...

Weighted averages can be tricky to explain! However, this study guide makes it easy for teachers by including definitions, explanations, and breaking down problems into three steps. Includes mixture problems and uniform motion problems.

Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish...

The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...

Is there another way to view whether the data is linear or not? Class members work alone and in pairs to create scatter plots in order to determine whether there is a linear pattern or not. The exit ticket provides a quick way to...

Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...

Walk the class through the steps of how to evaluate linear inequalities in one variable and graph the solution set. Define and discuss key vocabulary terms, then have individuals work problems of varying difficulty. Included are word...

Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents. 

There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...

Once your math class is adept at writing expressions, challenge them with a few word problems! There are six real-world scenarios for which learners must come up with a representative variable expression. Take CCSS.Math.Content.6.EE.2.a...

Use this worksheet as a warm up, a refresher exercise, or a practice after a more detailed lesson on graphing linear inequalities in two variables. Start with boundaries that are horizontal or vertical, then move into graphs with...

Investigate linear quadratic systems and pose this question: Do all linear quadratic systems have two solutions? Do they all have a solution? Learners solve systems of equations through graphing. They indicate the points of intersection...

In this worksheet, learners identify the Fundamental Theorem of Algebra. They solve polynomial functions and simplify expressions and equations.