Linear Word Problems Standard Form

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

• 15h ≤ 105

• 15h > 105

• 15h < 105

• 15h ≥ 105

Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell?

• x/5.50 ≥ 5225

• 5.50x ≥ 5225

• x + 5.50 ≤ 5225 

• x - 5.50 ≤ 5225

Two seventh-grade classes are selling raffle tickets to raise money.
-One class is selling tickets for $3.50 each and has already raised $400.
-The other class is selling  tickets for $2.00 each and has already raised $300.
Which equation can be used to find m, the number of tickets each class needs to sell so that the total amount raised is the same for both classes?

• 5.5m = 700

• 3.50m = 2m + 300

• 3.5m + 400 = 2m + 300

• 3.5 + 400m = 2 + 300m

Renting games online from Netwii costs $3.33 per game  with no monthly fee.  Renting games online from HDO costs $2.00 per game plus a monthly fee of $10.00.
Which inequality represents the situation when the monthly cost at Netwii is more than the monthly cost at HDO?

• 3.33v > 2v + 10

• 3.33v + 10 > 2v 

• 3.33v < 2v + 10

• 3.33v + 10 < 2v

Avery, Mia, and Luna are planning a charity event where they sell two types of tickets: x tickets for $2 each and y tickets for $4 each. They aim to raise $100 from the event. Which equation describes all possible combinations of tickets they can sell to reach their goal?

• 2x + 4y = 100

• 4x + 2y = 100

• 2x = 4y

• 6xy = 100

During the homecoming event, Benjamin, Ava, and Hannah from the booster club managed to raise $708 by selling t-shirts. Small t-shirts were sold for $12 and large t-shirts were sold for $14. If x represents the number of small t-shirts and y represents the number of large t-shirts, which equation represents this scenario?

• 12x + 14y = 708

• 14x + 12y = 708

• 708x + 14y = 12

• 12x + 708y = 14

During the school's homecoming event, Maya, Avery, and Scarlett were part of the booster club that managed to raise $708 by selling T-shirts. They sold small T-shirts for $12 each and large T-shirts for $14 each. If we denote the number of small t-shirts sold as x and large t-shirts as y, which equation represents this scenario?

• 12x + 14y = 708

• 14x + 12y = 708

• 708x + 14y = 12

• 12x + 708y = 14

Michael, Emma, and Ava are helping Dalyn sell girl scout cookies at a local fair. Dalyn sold 7 boxes of thin mints (x) and 12 boxes of tagalongs (y). If they collectively made $82 selling cookies, write an equation that represents the scenario.

• 7x+12y=82

• 12x+7y=82

• 7x+82y=7

• y=7x+82

Daniel went to a fruit market where he found that oranges cost $4 per pound and bananas cost $2 per pound. He bought some oranges and bananas and the total cost was $28. If "x" represents the pounds of oranges Daniel bought and "y" represents the pounds of bananas, which equation models this situation?

• 2x + 4y = 28

• 4x + 2y = 28

Jackson went to a fruit market where he found that oranges are $4 per pound and bananas are $2 per pound. He has a total of $28 to spend. The situation can be represented by the equation: 4x + 2y = 28 If Jackson decides to buy 3 pounds of oranges, how many pounds of bananas can he buy with the remaining money?

• 6 pounds

• 8 pounds