Standard Form of Linear Equation Word Problem

At a school play, children’s tickets cost $3 each and adult tickets cost $7 each. The total amount of money earned from ticket sales equals $210. Write a linear model that relates the number of children’s tickets sold to the number of adult tickets sold. Let x = the number of children’s tickets sold and y = the number of adult tickets sold

• y=10x+210

• 7x+3y=210

• y=7x+210

• 3x+7y=210

You have $28 to spend on Tech-decks and Takis. Tech-decks cost $7 each and jumbo bags of Takis cost $4 each.

Let x = # of Tech-decks

Ley y = # of bags of jumbo Takis

What equation should you use for this word problem?

• 28x+7y=4

• 4x+7y=28

• 7x+4y=28

• 4x+28y=7

You have $18 to spend on Uber Eats credits and hats for Among us. Uber Eats credits are $1 each and hats for Among Us cost $2 each. Let x = # of Uber Eats credits Ley y = # of hats for Among Us What equation should you use for this word problem?

• y+18x=2

• x+2y=18

• 2x+y=18

• 18x+y=2

In a video game, you earn 5 points for each jewel you find. You earn 2 points for each star you find. You've earned 250 total points.

Would this be represented by a slope-intercept form or standard form equation?

• Slope-intercept (y=mx+b)

• Standard (Ax+By=C)

Oranges are $4 and bananas are $2 for a total of $28. The equation is: 4x + 2y = 28 How many pounds of bananas can you buy if you purchased 3 pounds of oranges?

• 6 pounds

• 8 pounds

In a video game, you earn 5 points for each jewel you find. You earn 2 points for each star you find. You've earned 250 total points.

Which equation would represent the total amount of points earned, if x represents jewels and y represents stars?

• 5x+2y=250

• 5x-2y=250

• 2x+5y=250

• 250x+5y=2

A store sells sodas for $2 each and chips for $1.50 each. You plan on spending $17.50 on drinks and snacks for you and your friends.

Would this be represented by a slope-intercept form or standard form equation?

• Slope-intercept (y=mx+b)

• Standard (Ax+By=C)

A store sells sodas for $2 each and chips for $1.50 each. You plan on spending $17.50 on drinks and snacks for you and your friends. Which equation would represent the total amount of points earned, if x represents drinks and y represents chips?

• 17.50x+1.50y=2

• 2x-1.50y=17.50

• 2x+1.50y=17.50

• 2x+1.50y=19

Jenny went to the sale at Kohl's last weekend.  
T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation.  

• 20x + 15 = y 

• 35x = y 

• 15x + 20y = 150 

• 150 - 20x = 15y 

Write an linear equation to model the following:
You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20. 

• y=2.50x+4

• 2.50x+4y=20

• y=4x+2.5