# Graphs Can Solve Equations Too

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Lesson Plans and Worksheets for Algebra I
Lesson Plans and Worksheets for all Grades
More Lessons for Algebra I
Common Core For Algebra I

Examples, videos, and solutions to help Algebra I students discover that the multi-step and exact way of solving |2x - 5| = |3x + 1| using algebra can sometimes be avoided by recognizing that an equation of the form f(x) = g(x) can be solved visually by looking for the intersection points of the graphs of y = f(x) and y = g(x).

### New York State Common Core Math Algebra I, Module 3, Lesson 16

Worksheets for Algebra I, Module 3, Lesson 16 (pdf)

Examples and Exit Ticket

1. Solve the following equations graphically. Verify the solution sets using the original equations.
2. How do intersection points of the graphs of two functions f and g relate to the solution of an equation in the form f(x) = g(x)?
3. What are some benefits of solving equations graphically? What are some limitations?

Summary

1. Know the general shapes of exponential curves, lines and absolute value functions.
2. Know how to perform an intersection of functions on your calculator.

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