3.5 – LINEAR EQUATIONS AND PROBLEM SOLVING

WORD PROBLEMS AREMY FAVORITE

Keys to succeed!

Write down important information.

Draw a picture.

Put the info in a chart if you can.

Def

ine

your

var

iabl

e.

We will be talking about the following typical types of real-life application questions:

1. Traveling2. Tickets3. Accounting4. Clock (combination of Geometry and Traveling)5. Work

I-DO: CONSECUTIVE INTEGERS1) 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 - 1Integer 2 xInteger 3 x + 1Total 162

1 1 162x x x 3 162x

54x

1 54 1 53x

1 54 1 55x

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 xShortest x – 2 Perimeter 45

2 3 2 45x x x 4 1 45x

11 in.x

2 3 2 11 3 25 in.x

4 44x 2 11 2 9 in.x

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 -3 x 450 – 3xAlexis 120 +8 x 120 + 8x

Initial Week spend

Week End total

450 3 120 8x x

450 120 11x

30 wkx 330 11x

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

0 1 2 3 4 5

Isela

Alyssa

Team Practice – Round 5

Week

0 1 2 3 4 5

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!