2-9 Problem Solving Objective: To explore problem situations, and to translate verbal sentences and problems into equations or formulas and vice versa.

Drill #

Explore the problem Shane has 4 dimes more than quarters and 7 fewer nickels than dimes. If Shane has 28 coins total, how many nickels dimes and quarters does he have?

Problem Solving Plan **(24.) 1.Explore the problem What is the problem asking What information are you given 2.Plan the solution Define variables Set up equations 3.Solve the problem 4.Examine the Solution Does the answer makes sense? Check your answer

Explore the problem Strategies for working out problems Draw a diagram Make a table Guess and check Look for a pattern Work backwards Solve a simpler problem

Example 1 pg 127

Defining the Variable **(25.) Definition: choosing a variable to represent one of the unspecified numbers in the problem. Example: Sam is ten years older than Mary. Sam = s Mary = m m + 10 = s

Words that indicate equality Is Equals Is equal to Is the same as Is as much as Is identical

Formula**(26.) Definition: an equation that states a rule or relationship between certain quanities. NOTE: Examples: A = ½ bhV = l(w)(h) d = rtP = 2l + 2w

Exercise 9,13 pg 130

Write a problem b = Brittany’s height b + 5 = Tatiana’s height 2b + (b + 5) = 194 Write a problem based on this information.

Write an expression to represent the area of the shaded region 5.6. a b 3 2 c d s t

Write an equation that represents the situation below if the two lines are the same length x 8x x