# Solving by Graphing Teacher Resources

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#### Graphical Systems Application Problem

Sal evaluates a word problem and then solves by graphing systems of equations. This problem would be great as a daily challenge, as concept review, or as a homework assignment. Show this video only after the students have had a chance to...

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#### Logarithmic Equations

In this logarithmic worksheet, students solve given logarithm equations. Two problems may be solved by graphing. This one-page worksheet contains ten problems.

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#### Solving Simultaneous Equations Graphically

The solution resides at the intersection. Pupils use a short instructional activity to review the process of solving a system of linear equations using graphing. The instructional activity provides completed graphs for most of the items,...

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#### Graphs of Linear Systems: Heart Rate Tracker

Max out heart rates for males and females. Formulas of maximum heart rates provide the equations for a linear system. Pupils use the interactive to graph the equations for males and females and determine their points of intersection. The...

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#### Determine Solutions to Systems of Linear Equations Graphically (Example)

Picture the solution. The Mathispower4u Algebra I video uses three examples of finding the solution of a system of linear equations given as a graph. Pupils use their knowledge of linear graphs to also identify the equations for the two...

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#### How Do You Solve a System of Inequalities by Graphing?

You've got a linear system of inequalities? You need to solve it by graphing? No sweat. Make sure that each equation is in slope-intercept form and then graph each equation. Is it a solid line or a dashed line? Which side of the line...

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#### How Do You Solve a System of Inequalities by Graphing?

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#### How Do You Check Your Answer When You Have Two Equations?

Show your class how to check their answers for a system of linear equations. This video clarifies how to plug in answers and solve each equation. This is a straightforward video that could be useful to learners as the work on their...

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#### How Do You Solve a System of Equations by Graphing?

Two equations. What's the solution to this system? How can you solve it? Can you write the two equations in slope-intercept form? Yes, you can. Now graph each equation. Look, the lines intersect. What does that mean? That means that...

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#### Solving Systems of Equations

Lets keep the system working and show learners the three ways to solve linear systems of equations. Each method includes step-by-step instructions to work their way through the problem. The same problem is used for each method to show...

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#### Making Connections: Matrices, Graph, Linear Systems

In this set of activities, matrices and equations are explored. They work with matrices using pen and paper as well as graphing calculator. Additionally real-world problems are explored.

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#### Absolute Value Equations and Inequalities

Demonstrate the meaning of an absolute inequality using three different methods. Here, scholars explore absolute value inequalities through graphing, number line distance, and compound inequalities. Pupils complete various activities to...

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#### Systems of Equations

Now that learners figured out how to solve for one variable, why not add another? The lesson plan demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.

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#### Solving a System by Substitution

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...

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#### Linear-Quadratic Systems

Why do I have to learn two different ways to solve linear-quadratic systems? Isn't one way enough? Learners first investigate the three possible situations for linear-quadratic systems (two, one, or zero solutions), then solve such...

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#### Equations With Radical Expressions

Students solve systems of equations with radical expressions. After reading real life situation, they translate the problem into algebraic expressions. As a class, students solve quadratic equations and inequalities by graphing and...

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#### Rotation of Tasks for Solving Linear Equations

For this linear systems worksheet, students solve systems of equations using three different methods: substitution, adding and subtracting, and graphing. This two-page worksheet contains three multi-step problems.

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#### System of Linear Equations

In this math worksheet, middle schoolers solve for the systems of linear equations. They graph the equations and use the method of substitution.

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#### Algebra 2 - Linear Programming

Students read real world problems, determine the variables, and set up the function using algebraic statements. After entering data into the graphing calculator, they display information in the form of graphs and scatter plots. ...

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#### Applications Of Rational Functions

Students engage in a lesson plan that is about relational functions with the application of methods to real life problem situations. They use the examples found in the lesson plan for the purpose of practice during guided instruction....

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#### Collecting And Fitting Quadratic Data

Students investigate the concept of using quadratic data to plot coordinates on a plane. They also apply the quadratic formula for a variety of problems with the help of a graphing calculator to draw the parabola for given coordinates.

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#### The Box Problem

Students create graphic, algebraic and verbal ideas of functions. In this algebra lesson, students graph functions and identify the zeros of the functions. They find the domain and range and classify functions as relation or not.

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#### The Quadratic Formula

In this Algebra II worksheet, 11th graders use the quadratic formula to solve quadratic equations and examine the discriminate to determine the number and type of roots a quadratic equation will have. The two page worksheet contains...

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#### Exponential Functions: Half Life and Doubling Time

High schoolers investigate the concept of exponential functions and how they increase in size over time. They simplify the functions in order to find the solutions that are possible and perform analysis of the curved line that is...