# Activities

• • • ##### Subject Area

• Math: Math General: General

• ##### Author College

60 Minutes

• TI-86
• ##### Other Materials
This is Activity 4 from the EXPLORATIONS Book: Using the TI-86 in Collegiate Mathematics: A Tutorial

## Solving Equations

#### Activity Overview

In this activity, students will use various features of the calculator to investigate the solutions to a variety of equations, and to solve finance problems.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print pages 51 - 64 from the attached activity PDF file for your class
• #### During the Activity

Distribute the pages to the class.

Solving a System of Linear Equations:

• Enter the number of equations
• Enter the equations and record the coefficients
• Obtain the solution to the system

• Finding Roots of Polynomials:
• Enter the order and the coefficients of the polynomial
• Find the solution to the system and store the value of the roots

• Solving Equations Using the SOLVER Function:
• Enter a non-polynomial equation
• Graph the expression
• Set the Trace value of x as the initial value
• Solve to obtain the second solution of the equation

• Solving an Integral Equation:
• Enter the equation
• Enter an initial guess for the main variable
• Solve for the value of the main variable

• Multivariable Equations:
• Enter the equation and the coefficients
• Set the values for the variables
• Graph the expression, with one variable being treated as a constant
• Change the value of the variable and graph the expression again
• Obtain the solution of the system

• Finding Zeros of a Function:
• Enter the expression
• Assign values to the variables
• Obtain the solution for the equation
• Graph the expression and observe the number of solutions
• Trace the graph and obtain all solutions

• Solving a Matrix Equation:
• Enter the matrix equation
• Determine the initial value of x and set the bound
• Plot the graph
• Trace the most negative solution
• Solve the equation
• #### After the Activity

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary