Linear Word Problems Standard Form

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

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

Small bags of apples are $2 each and large bags of oranges are $6 each. A customer spends a total of $28.

If "x" is the number of bags of apples and "y" is the number of bags of oranges, which equation models this?

• 6x + 2y = 28

• 2x + 6y = 28

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

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

Benjamin, Mason, and Ava went to a Mexican restaurant for lunch. Benjamin ordered 4 tacos and Mason ordered 5 enchiladas. The total bill came to $10.80. Which equation matches the given situation?

• 4x + 3y = 8.10

• 4x + 5y = 10.80

• 4x - 5y = 10.80

• 4x + 10.80y = 5

Mia, Aria, and Noah are planning a party. They decide to buy sodas for $2 each and chips for $1.50 each from a local store. They have a budget of $17.50 for drinks and snacks.

If x represents the number of sodas and y represents the number of chips, which equation would represent the total amount they spent?

• 17.50x+1.50y=2

• 2x-1.50y=17.50

• 2x+1.50y=17.50

• 2x+1.50y=19

Noah is playing a video game where he earns 5 points for each jewel he collects and 2 points for each star he collects. After playing for a while, he has earned a total of 250 points. If x represents the number of jewels Noah collected and y represents the number of stars, which equation would represent the total amount of points Noah has earned?

• 5x+2y=250

• 5x-2y=250

• 2x-5y=250

• 250x+5y=2

Writing the equation James has $28 to spend on comic books and action figures. Comic books cost $7 each and action figures cost $4 each. Let x = # of comic books James buys Let y = # of action figures James buys What equation should Priya use to help James calculate his spending?

• 28x+7y=4

• 4x+7y=28

• 7x+4y=28

• 4x+28y=7

Samuel has $18 to spend on books and movie tickets. Each book costs $1 and each movie ticket costs $2.

Let x = # of books Samuel buys

Let y = # of movie tickets Samuel buys

What equation should Samuel use for this word problem?

• y+18x=2

• x+2y=18

• 2x+y=18

• 18x+y=2