1. Chapter 3 – Solving Linear Equations 3.5 – Linear Equations and Problem Solving

2. Today we will be learning about: Today we will be learning about: Drawing diagrams to help us understand real- life problems Drawing diagrams to help us understand real- life problems Using tables and graphs to check your answers Using tables and graphs to check your answers

3. 3.5 – Linear Equations and Problem Solving We are going to look at solving real-life problems using a problem solving strategy. We are going to look at solving real-life problems using a problem solving strategy. First, we will write a verbal model. First, we will write a verbal model. We will then assign labels. We will then assign labels. Finally, we will write our equation. Finally, we will write our equation.

4. 3.5 – Linear Equations and Problem Solving Example 1 Example 1 A page of pictures for a yearbook is 8 ½ inches by 11 inches. The top margin is ¾ inch and the bottom margin is 1 ¼ inches. The space between the pictures is 3/16 inch. How high can each picture be to fit seven down the length of the page? A page of pictures for a yearbook is 8 ½ inches by 11 inches. The top margin is ¾ inch and the bottom margin is 1 ¼ inches. The space between the pictures is 3/16 inch. How high can each picture be to fit seven down the length of the page?

5. 3.5 – Linear Equations and Problem Solving Example 2 Example 2 At West High School, 362 students take Spanish. This number has been increasing at a rate of 20 per year. The number of students taking French is 259 and has been decreasing at a rate of about 3 per year. At these rates, when will there be two times as many students taking Spanish as taking French? At West High School, 362 students take Spanish. This number has been increasing at a rate of 20 per year. The number of students taking French is 259 and has been decreasing at a rate of about 3 per year. At these rates, when will there be two times as many students taking Spanish as taking French?

6. 3.5 – Linear Equations and Problem Solving HOMEWORK Worksheet 3.5