# Activities

• ##### Download

• • ##### Subject Area

• Math: Algebra II: Systems of Linear Equations and Inequalities

• ##### Author 9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.0

• ##### Report an Issue

Linear Systems and Calories

#### Activity Overview

Set up and solve systems of equations.

#### Objectives

• Model a real-world application with a linear system of equations with three variables.
• Use the technology to solve a system of three equations in three variables and interpret the solutions
• Utilize the information from their solution to solve other problems

#### Vocabulary

• coefficients
• linear system
• system of equations

#### About the Lesson

This lesson involves setting up and solving systems of equations. As a result, students will:

• Write a system of linear equations with three variables to model a real-world application.
• Solve their system of equations.
• Utilize their solutions to determine the number of calories contained in a gram of carbohydrate, a gram of protein, and a gram of fat, and also obtain the formula for finding basal metabolic rate (BMR).
• Write and solve additional equations to further explore information about calories and diet.