What does translating points on a number line have to do with solving inequalities? Young mathematicians first learn about translations of points on a number line, and then use this information to solve linear inequalities in one variable.

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. 

Here are 17 various forms of problems that range from matching equivalent expressions to word problems. Included are problems for substutiing values into expressions and using the order of operations, simplifying algebraic expressions,...

In this investigating slope worksheet, students use their graphing calculators to graph equations of a line with negative and positive slopes. They observe differences between the positive and negative slopes and write a rules based on...

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...

In this algebra worksheet, students solve inequalities using addition, subtractions and multiplication. They graph the inequalities with shading. There are 2 questions.

In this vector space worksheet, students find the column space of given matrices, the identify the vector space and determine if the matrix is invertible. This four-page worksheet contains approximately six multi-step problems.

In this solving quadratic equations worksheet, students select the best method to solve a quadratic equation and then solve five quadratics.  Fully worked examples  are provided.

In this modeling data worksheet, students use quadratic functions to model data using three different methods.  This worksheet provides explanations and an example.  Additionally, students are given the steps to find the...

Here is a (great) lesson on using parentheses! The task requires the expression of ages using algebraic expressions, including the distributive property. Pupils use their expressions to determine the individual ages.

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.

Get a line on the snakes. The assessment task requires the class to determine the species of unknown snakes based upon collected data. Individuals analyze two scatter plots and determine the most likely species for five...

In this discrete least squares worksheet, students use a linear algebra approach to discrete last squares approximation. This two-page worksheet contains approximately 10 problems.

In this linear function worksheet, students explain how the linear function relates to direct proportionality. They answer questions dealing with slope fields, rate equations and illustrate Euler's Method. After answering six...

For this calculus worksheet, students identify functions as linear or nonlinear, homogeneous versus nonhomogeneous by using the reduction power theorem. There are 5 questions.

In this harmonic motion worksheet, students read about the difference between harmonic motion and linear motion. They are given the parts of harmonic motion, graphs of harmonic motion and equations to find the period and frequency of...

In this nonlinear equations worksheet, students use iterative methods for solving systems of nonlinear equations. This four-page worksheet contains eight multi-step problems.

In this Algebra II worksheet, 11th graders use the properties of equality to solve multi-step equations in one variable.  The tow page worksheet contains explanation, guided examples, and fifteen practice problems.  Answers are...

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...

What an impressive task it is to make dental impressions! Pupils learn how dentists use proportional reasoning, unit conversions, and systems of equations to estimate the materials needed to make stone models of dental impressions....

In this inequality worksheet, students solve 10 multiple choice inequality problems.  Students determine solutions to inequalities and write linear inequalities given word problems.

Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians...

In this transformation worksheet, students find the linear transformation of equations and use the Mobius transformation to identify image boundaries. Students describe the images in each quadrant. This two page worksheet contains six...

In this analyzing solutions worksheet, students use Euler's Method to estimate the value of given functions. They estimate solutions using the piecewise-linear function model and sketch the information onto a graph. This two-page...