3.5 – LINEAR EQUATIONS AND PROBLEM SOLVING WORD PROBLEMS ARE MY FAVORITE Keys to succeed! Write down important information. Draw a picture. Put the info.

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Presentation transcript:

3.5 – LINEAR EQUATIONS AND PROBLEM SOLVING WORD PROBLEMS ARE MY FAVORITE Keys to succeed! Write down important information. Draw a picture. Put the info in a chart if you can. Define your variable.

We will be talking about the following typical types of real-life application questions: 1.Traveling 2.Tickets 3.Accounting 4.Clock (combination of Geometry and Traveling) 5.Work

I-DO: CONSECUTIVE INTEGERS 1) Malique bets his buddies that he can quickly find three numbers that add up to any sum they want. Malique’s pals challenge him to find three consecutive integers whose sum is 162. Help a bro out! Integer 1 x - 1 Integer 2 x Integer 3 x + 1 Total 162

Wii-Do: Geometry 2) Jessica knows the longest side of a triangle is 3 inches more than twice the middle side. The shortest side is 2 inches less than the middle side. If the perimeter is 45 inches, help Jessica find how long each side is? Longest 2x+3 Middle x Shortest x – 2 Perimeter 45 2x+3 x x-2

3) Cameron has $450 and spends $3 each week on Speedway slushies. Alexis has $120 and saves $8 each week. How many weeks will it take for them to have the same amount of money? Cameron 450-3x450 – 3x Alexis 120+8x x InitialWeek spendWeekEnd total U-Do: Accounting

TEAM PRACTICE  You will be split into teams of 3.  Each team will be giving whiteboards and asked to group their desks together.  You will be working together to solve the following problems.  All notes and brains are fair game!  Points will be awarded based on which groups finish first!  Good luck!

Celsea and Melanie are working on the OHS yearbook. A page of the school year book is 8.5 by 11 inches. The left and right margins are 1 by 2.5 inches, respectively. The space between pictures is 0.25 inches. How wide can each picture be to fit 3 across the width of the page? Team Practice – Round 1

Jacob and Andrew are designing a house with three 3-feet- wide windows on the back of the house. There are 4 feet between each end window and an edge of the house. The width of the house is 33 feet. How far apart should the windows be? Team Practice – Round 2

Nikki and Rae are making flags for the school color guard. Each flag has an orange stripe and a 12 inch wide blue stripe. The width of each flag is ¾ its length. The length is 48 inches. How wide is the orange stripe? Team Practice – Round 3

Currently Isela has $60 and Alyssa has $135. Isela decides to save $5 of her allowance each week, while Alyssa spends her whole allowance plus $10 on fuzzy slippers each week. How long will it be before Isela has as much money as Alyssa? Team Practice – Round 4 Week Isela Alyssa

Team Practice – Round 5 Week TJ Kyle TJ is in Detroit on official math business. The temperature in Detroit is 69 °F and is rising at a rate of 2 °F per hour. Meanwhile Kyle is in Atlanta helping to train the Falcons. In Atlanta, the temperature is 84 °F and falling at a rate of 3 °F per hour. If the temperatures continue to change at the same rate, when will the temperature be the same?

INDIVIDUAL TRAINING SESSION  Work by yourself on the following worksheet. When you are done, please raise your hand.

HOMEWORK CREATE 2 WORD PROBLEMS AND 2 CHALLENGE PROBLEMS LIKE THE ONE’S ON YOUR WORKSHEET. PROVIDE AN ANSWER KEY TO THE 4 PROBLEMS!