Solving Equations and Inequalities Word Problems

Ace is selling t-shirts to raise money for an animal shelter and his goal is to raise more than $700. It cost him $7 dollars to make each t-shirt and he sells them for $12 dollars each. He received a donation from his friend Ray for $200. 

How many t-shirts will Ace need to sell to reach his goal?

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(Answer as an equation or inequality, use x as variable)
NO SPACES

Dale & Brennan want to start their own business and they want to save the same amount of money to get it started.  Brennan already has $1620, makes $120 per week doing karate lessons, but had to spend $180 getting his drum set fixed.  Dale has $480, makes $300 every week for singing lessons, but spends $20 every week on comic books.

After how many weeks will Dale and Brennan have raised the same amount of money? 

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(Answer as an equation or inequality, use x as variable)
NO SPACES

Doug is a weatherman watching the snowfall levels in two local towns.  In Pittsburg there are already 4 inches on the ground and it is snowing about 1.5 inches per hour.  In Girard, there are 7 inches on the ground and it is snowing about 0.5 inches per hour.  

After how many hours will Pittsburg and Girard have the same amount of snow on the ground?

_____________________________________________

(Answer as an equation or inequality, use x as variable)
NO SPACES

Westley & Inigo are two swordsmen fighting enemies in battle. Inigo has already defeated 18 enemies and defeats another 2 every minute.  Westley joins the battle late, but soon starts defeating 5 every minute.

4. After how many minutes will Westley and Inigo have defeated the same number of enemies?

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(Answer as an equation or inequality, use x as variable)
NO SPACES

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100

• 5x - 100 ≥ 10

• 10x + 5 ≤ 100

• 5x + 10 > 100

Cody’s Gym charges a $18 fee to join and $30 per month. Tyler’s Gym charges a $50 fee to join and $20 per month. Use an inequality to determine how many months will you have to go to the gym before Tyler’s gym becomes the better deal.

• 3

• 4

• 5

• 6

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a taxi ride. Which inequality best describes how many miles Katie can ride in this taxi?

• 1.75 + 0.65m < 10

• 1.75 + 0.65m > 10

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10

To raise funds for uniforms and travel expenses, the soccer team is holding a car wash in a part of town with a lot of car and truck traffic. The team spent $90 on supplies like sponges and soap. They plan to charge $10 per car and $20 per truck. Their goal is to raise $460. How many cars do they have to wash if they washed the following numbers of trucks?

• 47 Cars

• 4 Trucks

• 13 Cars

• 21 Trucks

• 1 Car

• 15 Trucks

• 25 Cars

• 27 Trucks

just type the number

Madison streams netflix (x) for $10.99 a month and spotify (y) for $5.99 a month. If she spent $96.88 total and had netflix for 5 months, how many months did she have spotify?

• 4 months

• 7 months

• 6 months

• 2 months