Writing a general rule to model a specific pattern is a high-level skill. Your classes practice the important skill as they write rules describing the solutions to a system of equations with variable coefficients. As an added challenge,...

This problem is sure to get your young mathematicians thinking. The idea sounds simple: one equation, solve it as many ways as you can. This is meant to get at a deeper understanding of solving quadratic equations, including some more...

While there are many types of equations to solve, the main focus here is on quadratics. Starting with a quick review of the different methods, learners are guided through the solving process and are challenged to solve higher level...

Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of...

In this Algebra I/Algebra II worksheet, students solve quadratic equations by graphing and by taking the square root of both sides.  The two page worksheet contains a combination five multiple choice and free response...

In this functions instructional activity, 11th graders solve and complete 30 various types of multiple choice problems that include reading and interpreting functions and patterns. First, they determine the table that best represents a...

I got a different answer, are they both correct? While working through modeling problems interpreting graphs, the question of precision is brought into the discussion. Problems are presented in which a precise answer is needed and...

Find relationships between the structure of a function and its graph. An engaging lesson explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.

When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic...

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 math worksheet, students write 8 equations of the axis of symmetry and find the coordinates of each quadratic function. Students graph 4 of the equations and state if the vertex is maximum or minimum.

Students explore the concept of quadratic equations.  In this quadratic equations worksheet, students determine what shifts of a parent graph will look like by describing in sentences.  Students factor quadratic expressions and...

In this quadratics learning exercise, students identify the roots of a quadratic equation.  They use FOIL and the quadratic formula to solve quadratic equations.  This seven-page learning exercise contains 32...

In this quadratic formula worksheet, students solve 5 quadratic problems.  Students use the quadratic formula to find maximums, minimums, roots, and y-intercepts.

In this graphing rational functions worksheet, students answer 18 multiple choice problems about rational functions.  Students determine values for a which a function is undefined given the equation of the function.

In this algebra worksheet, 11th graders graph polynomial functions using quadratics and other exponential functions. They identify the vertex and other properties of a parabola. There are 8 problems with an answer key.

Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a...

In this math worksheet, students investigate the quadratic functions. They solve the word problems while writing the new algebra expressions.

In this Algebra II worksheet, 11th graders review and apply the basic concepts for solving linear and quadratic equation. The one page worksheet contains twelve problems. Solutions are not provided. 

Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...

This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...

In this matter and motion worksheet, students solve 3 different types of problems that relate to the chain rule for multivariable functions. First, they find the rate of increase of the volume of a can and the rate of increase of the...

In this trigonometry worksheet, students solve quadratic trigonometric equations. The seven page worksheet contains explanation, examples, and sixteen multi-part questions. Answers are not included.

Use a worksheet to go over the basic concepts of relations and functions. Included are clear definitions and examples of relations, domain and range, and functions and the vertical line test.  However, the problems are pretty...