Graphs Can Solve Equations Too
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 Module 3, Algebra I, Lesson 16
Plans and Worksheets for Algebra I
Plans and Worksheets for all Grades
Lessons for Algebra I
Common Core For Algebra I
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?
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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