Worksheet
Houghton Mifflin Harcourt

Write Function Rules Using Two Variables

For Students 5th - 7th Standards
Fabulous functions are the focus of this handout. Middle school math pupils complete input/output tables and answer questions about the values. Each of the three equations contains two variables. This simple learning exercise would be...
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Hands On: Linear Equations

For Students 5th
For this linear equation worksheet, 5th graders complete the equations, and fill in the function tables, before graphing the equation on the coordinate planes in 4 problems . They use equations with variables to solve 2 problems.
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Chapter 7 Review: Radical Notation

For Students 10th - 12th
In this radical notation instructional activity, students write expressions using rational exponent notation and evaluate expressions with radical notation. They find the inverse of a function and give the domain. This three-page...
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Simplifying Functions

For Students 11th
In this simplifying functions worksheet, 11th graders solve and complete 11 different types of problems. First, they simplify each function as necessary. Then, students state the vertical asymptotes, holes, horizontal asymptotes, domain...
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Systems of Equations

For Students 10th
In this systems of equations worksheet, 10th graders solve and complete 4 different sets of problems. First, they state the domain for each equation. Then, students solve each system of equations using Cramer's Rule. They also find the...
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Senior Analysis: Functions, Limits

For Students 10th - 11th
In this senior analysis worksheet, students identify the solution set of given functions. They evaluate limits. create a table of values for a given function and plot the values. This two-page worksheet contains 12 multi-step problems....
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Senior Analysis: Review Functions and Tangents

For Students 10th - 12th
In this function worksheet, learners find the equation of a line tangent to a given function. They identify the derivative of functions, This one-page worksheet contains 11 multi-step problems. Answers are provided on page two of the...
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Senior Analysis: Graphing

For Students 10th - 12th
In this graphing worksheet, students graph given equations. They identify points on the line. This one-page worksheet contains nine problems.
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Senior Analysis: Trig Limits

For Students 11th - Higher Ed
In this trig limits worksheet, students evaluate the limits of given equations. They use trig derivatives and implicit differentiation to solve given equations. This three-page worksheet contains 27 multi-step problems.
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Calculus Assignment: Limits

For Students 11th - Higher Ed
In this limit worksheet, students evaluate limits on given equations. This two-page worksheet contains 14 multi-step problems. Answers are provided on page three of the worksheet.
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Squares

For Students 10th
In this squares worksheet, 10th graders solve and complete 7 various types of problems. First, they divide a product of one with a square of the other. Then, students find the dimensions of a rectangle that will maximize the area. In...
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Multiply with Mixed Numbers: Practice

For Students 5th - 6th
In this mixed number multiplication instructional activity, students multiply the mixed numbers and write each product in simplest form. Students then complete the multiplication equations by finding the missing numbers. Students also...
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Graphing Trig Functions

For Students 11th
In this graphing trigonometric functions instructional activity, 11th graders solve and complete 10 various types of problems. First, they graph each functions as shown. Then, students find the domain in each given function. In addition,...
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Graphing Functions

For Students 11th - Higher Ed
In this graphing functions worksheet, students solve and complete 16 various types of problems. First, they evaluate each of the limits provided. Then, students graph each of the functions and their asymptotes as given.
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Trigonometric Functions

For Students 11th - Higher Ed
In this trigonometric functions worksheet, students solve and complete 4 different types of problems. First, they decide whether the given equation defines y to be a function of x and find the domain. Then, students graph each function...
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Function Tables

For Students 4th - 5th
In this function rules instructional activity, students complete each function table or rule. Students complete the input and output sections for each table using the given numbers. Students complete two test prep questions.
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Functions

For Students 10th
In this functions worksheet, 10th graders solve and complete 6 different types of problems. First, they find the largest value of a given function. Then, students determine the values of the constants a, b, c, dso that the curve is a...
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Senior Analysis

For Students 11th - 12th
In this senior analysis learning exercise, students solve and complete 10 various types of problems. First, they graph each function completely. Then, students label the axes and show a table for each. They also determine if the graph is...
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Function Investigation

For Students 11th
In this functions instructional activity, 11th graders solve and complete 18 different problems. First, they graph each equation on the graphs provided, making a rough sketch on a coordinate plane. Then, students predict what each graph...
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Roots and Zeros

For Students 11th
In this roots and zeros instructional activity, 11th graders solve and complete 9 different problems. First, they state the number of positive real zeros, negative real zeros, and imaginary zeros for each function. Then, students find...
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Rational Zero Theorem

For Students 11th
In this rational zero theorem worksheet, 11th graders solve and complete 7 different problems. First, they list all of the possible rational zeros of each function. Then, students find all of the rational roots of each function. Finally,...
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Composition of Functions

For Students 11th
In this composition of functions worksheet, 11th graders solve and complete 11 different problems. First, they find the value of x in each of the given functions. Then, students determine the value of both compositions in each function.
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Topic 2.1 - Relations and Functions

For Students 7th - 9th
In this function worksheet, students state the domain and range of 2 functions. They then determine whether 7 relations are functions or not. Finally, students solve 6 problems in which they find the value of a specific function.
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Chapter 2.3 - Slope

For Students 7th - 9th
In this slope activity, learners answer 16 slope intercept questions. They determine slopes based on equations, graphs and coordinates. Students also find the equations of lines parallel and perpendicular to a given line and that goes...