1.2 Applications and Modeling with Linear Equations

Miller & Gerken, College Algebra 2e — Pages 104-117

Learning Objectives

  • Translate word problems into equations

  • Solve mixture problems

  • Solve uniform motion problems (distance = rate × time)

  • Apply problem-solving strategies

Key Concepts

Problem-Solving Strategy

  1. Read the problem carefully

  2. Identify what you’re solving for

  3. Assign a variable

  4. Write an equation

  5. Solve and check

  6. State the answer

Common Problem Types

Distance-Rate-Time
\[d = r \cdot t\]
Mixture Problems

Concentration × Amount = Pure substance

Examples

Example 1. Example 1 (p. XX)

Work through textbook example…​

Practice Problems

Problem 1 (p. XX, #YY)

Problem:

My Work:

Answer:

Section Summary

  1. Key point 1

  2. Key point 2

  3. Key point 3

Study Notes

Personal observations and things to remember…​