Standard Form of Linear Equation Word Problem

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15

How much would 50 shirts cost?

• y= 40

• y= 400

• y= 415

• y= 65

• y= 390

Tags

CCSS.HSF.LE.B.5

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

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.7.EE.B.4A

Zoe went to a store where hats are priced at $10 each and gloves are priced at $5 each. She bought some hats and gloves and the total bill came to $30. If we let "x" represent the number of hats Zoe bought and "y" represent the number of gloves, which equation would represent this situation?

• 10x + 5y = 30

• 5x + 10y = 30

Tags

CCSS.HSA.CED.A.3

The same situation -- Hats are $10 each and gloves are $5 each for a total of $30.

The equation is: 10x + 5y = 30

How many hats can you buy if you got 2 sets of gloves?

• 2 hats

• 4 hats

Tags

CCSS.8.EE.C.7B

The same situation -- Bags of apples are $2 each and bags of oranges are $6 each. A customer spends a total of $28.

The equation is: 2x + 6y = 28

How many bags of oranges can you buy if you buy 2 bags of apples?

• 4 bags

• 3 bags

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

Tags

CCSS.8.EE.C.8C

Grace, Luna, and James are planning a party and want to buy desserts. They found that ice-cream is $2.50 per scoop and puppychow is $4 per bag. They have a budget of $20. Write a linear equation to model this scenario.

• y=2.50x+4

• 2.50x+4y=20

• y=4x+2.5

Tags

CCSS.6.EE.C.9