# Solving by Graphing Teacher Resources

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#### Graphing

In this graphing instructional activity, 9th graders solve and graph 8 different problems that include defining various terms related to graphing. First, they label the quadrants in a coordinate plane and name the quadrant for each...

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#### Quadratic Inequalities

In this quadratic inequalities activity, 9th graders solve and graph 10 different problems that include various forms of inequalities. First, they solve each equation shown algebraically. Then, students state the solution set of the...

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#### Transformations with Functions

In this transformations worksheet, students solve and graph 8 different problems related to various forms of functions. First, they write the equation for the graph of a function given. Then, students describe the transformations that...

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#### Investigating Parabolas

For this investigating parabolas worksheet, 9th graders solve and graph 7 different problems that include graphing various equations that represent parabolas. First, they sketch their graphs to each problem. Then, students determine what...

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#### Equations as Relations

In this equations as relations worksheet, 10th graders solve and graph 9 different problems that include determining various ordered pairs. First, they determine the ordered pairs that are solutions to each equation. Then, students solve...

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#### Graphing Linear Inequalities

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...

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#### Graphs of Quadratic Functions

In this quadratic function worksheet, students solve and graph quadratic functions. Functions contain both positive and negative integers, fractions, and perfect squares. Graph paper is located below each equation. There are 36...

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#### Finding Equations From Graphs

In this equations from graphs worksheet, 9th graders solve and graph 10 different problems that include determining the actual equation for each. First, they determine the slope and y-intercept for each graph shown on the right. Then,...

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#### Inverse Functions

In this inverse functions instructional activity, 9th graders solve and graph 10 different problems that include the inverse of various functions. First, they determine if the coordinates given is the inverse of a function given. Then,...

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#### Equations and Inequalities

In this equations and inequalities worksheet, 9th graders solve and graph 10 different problems that include determine the slope of a line. First, they determine the slope of a line represented by a given equation. Then, students...

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#### Integrated Algebra

In this algebra worksheet, students solve equations, graph linear functions and find the angles in triangles. There are 39 questions.

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#### Characteristics of Exponential Functions

What can an upper grader do with an exponential function? They can solve and graph it, identify its important characteristic, and differentiate graphs based on shifts in graph bases that are greater or less than one. This 45 minute...

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#### Coordinate Plane

In this coordinate plane instructional activity, 10th graders solve and graph 21 different problems that include various pairs of points. First, they write the ordered pair for each point on the first grid. Then, students name the...

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#### Solving Inequalities

In this inequalities worksheet, students solve and graph inequalities. They shade the answer region. Explanations and examples are provided at the beginning of the document. Answers are at the end of the worksheet. This four-page...

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#### Equations and Inequalities

In this equations and inequalities worksheet, 9th graders solve and graph 10 different problems that include determining the slope of a line in each. First, they determine the line that contains given points on a grid. Then, students...

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#### Easy Worksheet: Area and Circumference of Circles

In this area and circumference of circles learning exercise, students solve 4 graphing problems. Students graph a circle given an endpoint and center. Students find the area or circumference of the circle they graphed.

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#### Systems of Inequalities

Students solve and graph a system of inequality. In this algebra lesson, students calculate the solution of a system through graphing. They test their coordinate pair and shade on the correct side of the line. They review rules for...

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#### Piecewise Linear Integral

Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.

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#### Comparing Linear and Exponential Functions

Teach your class how to differentiate between linear and exponential functions. They use exponential properties to solve problems, graph them using the TI-Navigator, and make comparisons.

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#### Exploring Power Functions 2

Young mathematicians learn to write algebraic equations. They solve and graph different polynomial functions with different powers. They then graph radicals and identify the domain and range.

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#### Coordinate Geometry

In this geometry worksheet, students solve and graph points on coordinate plane. They write the equation of a line and describe the line's position on a coordinate plane. There are 9 questions with an answer key.

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#### Easy Worksheet: Area and Perimeter of Rectangles and Squares

In this area and perimeter of rectangles and squares worksheet, high schoolers solve 6 graphing and short answer problems. Students plot four coordinates of a rectangle or square on the coordinate plane. High schoolers find the area or...

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#### Easy Worksheet: Area of Triangles

In this area of a triangle learning exercise, students solve 6 graphing problems. Students find the area of a triangle given the three coordinates of the vertices.

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#### Using Inequalities to Problem Solve

Students explore inequalities. In this Algebra I lesson, students solve and graph linear inequalities involving addition, subtraction, multiplication, or division. Students use inequalities to solve and graph real-world problems.