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Chapter 3 – Solving Chapter 3 – Solving Linear EquationsLinear Equations
3.5 – Linear Equations and 3.5 – Linear Equations and Problem SolvingProblem Solving
3.5 – Linear Equations and 3.5 – Linear Equations and Problem SolvingProblem Solving
Today we will be learning about:Today we will be learning about: Drawing diagrams to help us understand Drawing diagrams to help us understand
real-life problemsreal-life problems
Using tables and graphs to check your Using tables and graphs to check your answersanswers
3.5 – Linear Equations and 3.5 – Linear Equations and Problem SolvingProblem Solving
We are going to look at solving real-We are going to look at solving real-life problems using a problem solving life problems using a problem solving strategy.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.
3.5 – Linear Equations and 3.5 – Linear Equations and Problem SolvingProblem Solving
Example 1Example 1 A page of pictures for a yearbook is 8 ½ A page of pictures for a yearbook is 8 ½
inches by 11 inches. The top margin is inches by 11 inches. The top margin is ¾ inch and the bottom margin is 1 ¼ ¾ inch and the bottom margin is 1 ¼ inches. The space between the pictures inches. The space between the pictures is 3/16 inch. How high can each picture is 3/16 inch. How high can each picture be to fit seven down the length of the be to fit seven down the length of the page?page?
3.5 – Linear Equations and 3.5 – Linear Equations and Problem SolvingProblem Solving
Example 2Example 2 At West High School, 362 students take At West High School, 362 students take
Spanish. This number has been Spanish. This number has been increasing at a rate of 20 per year. The increasing at a rate of 20 per year. The number of students taking French is 259 number of students taking French is 259 and has been decreasing at a rate of and has been decreasing at a rate of about 3 per year. At these rates, when about 3 per year. At these rates, when will there be two times as many will there be two times as many students taking Spanish as taking students taking Spanish as taking French?French?
3.5 – Linear Equations and 3.5 – Linear Equations and Problem SolvingProblem Solving
HOMEWORKHOMEWORK
Worksheet 3.5Worksheet 3.5
