Ch 7-2 Word ProblemsCh 7-2 Word Problems

By By

Dr. MarinasDr. Marinas

Steps to Solving Word Steps to Solving Word ProblemsProblems

Word ProblemWord Problem Mathematical ModelMathematical Model Mathematical SolutionMathematical Solution Word Problem InterpretationWord Problem Interpretation

Page 357 #2 (Word Page 357 #2 (Word Problem)Problem)

David has 3 times as David has 3 times as much money as Rick.much money as Rick.

Rick’s money.Rick’s money.

Page 357 #2 (Math Page 357 #2 (Math Model)Model)

If x is the value of If x is the value of Rick’s money, Rick’s money, then David has 3x then David has 3x dollars.dollars.

So x + 3x = 400So x + 3x = 400

David and Rick has David and Rick has $400.00 together.$400.00 together.

Page 357 #2 (Math Page 357 #2 (Math Solution)Solution)

So x + 3x = 400So x + 3x = 400 4x = 4004x = 400 x = 100x = 100

Page 357 #2 (Word Page 357 #2 (Word Problem Interpretation)Problem Interpretation)

x = 100x = 100 Rick has $100 (x)Rick has $100 (x) David has $300 (3x)David has $300 (3x)

Rick has $100Rick has $100

David has $300 David has $300

Page 357 #5 Page 357 #5 (Consecutive Integers)(Consecutive Integers)

Name 3 consecutive numbersName 3 consecutive numbers Example : 3, 4, 5Example : 3, 4, 5

If x is the first of the 3 consecutive If x is the first of the 3 consecutive numbers, what are the other 2?numbers, what are the other 2?

First is x; second is x + 1; third is x First is x; second is x + 1; third is x + 2+ 2

Page 357 #5 (continued)Page 357 #5 (continued)

The sum of 3 consecutive integers is The sum of 3 consecutive integers is 237.237.

Sum means addition so:Sum means addition so: x + (x + 1) + (x + 2) = 237x + (x + 1) + (x + 2) = 237 3x + 3 = 2373x + 3 = 237 3x = 2343x = 234 x = 78x = 78 So the numbers are 78, 79, 80So the numbers are 78, 79, 80

Homework - Pages 357-58Homework - Pages 357-58

# 3 (like #2 from class)# 3 (like #2 from class) # 4 (tickets to an event)# 4 (tickets to an event) # 6 (like #5 only consecutive even # 6 (like #5 only consecutive even

integers) integers) # 9 (like #6 consecutive even integers)# 9 (like #6 consecutive even integers) #10 (faculty reduction)#10 (faculty reduction) #16 (reading a book)#16 (reading a book) READ and STUDY section 7-3 LinesREAD and STUDY section 7-3 Lines