Writing Linear Equations

 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

Writing the equation

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

Writing the equation

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.

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.

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 

Hats are $10 each and gloves are $5 each. A customer spends a total of $30.

If "x" is the hats and "y" is the gloves, which equation models this?

• 10x + 5y = 30

• 5x + 10y = 30

Oranges cost $4 per pound and bananas cost $2 per pound. A customer spends $28.

If "x" is the oranges and "y" is the bananas, which equation models this?

• 2x + 4y = 28

• 4x + 2y = 28