Linear Equation Word Problems

1) A caterer charges $100 to cater a party for 10 people and $175 for 25 people. Write an equation for the given situation.

• y = 25x + 100

• y - 100 = 5(x - 10)

• y - 175 = 10(x - 25)

• 100x + 175y = 35

You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks. Write an equation to represent the situation

• 2x - 3y = 240

• 3y - 2x = 240

• 2x + 3y = 240

• 2 + 3 = 240

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

You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.

If you sold 60 cups of lemonade, how many cups of orange drink did you sell?

• 60

• 40

• 10

• 120

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 

Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His 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

At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog.  Last week, the store made $60 from washing cats and dogs.  If 6 cats were washed, write and solve a linear equation to find how many dogs were washed.

• 2 dogs

• 3 dogs

• 4 dogs

• not enough information

A sign says that 3 tickets cost $22.50 and that 7 tickets cost $52.50. Which equations in point-slope form would represents the cost of tickets? Select all that apply.

• y - 22.50 = 7.50(x - 3)

• y - 52.50 = 7.50(x - 7)

• y = 7.50x

• y + 22.50 = 7.50(x + 3)

This problem:

• gives you a rate of change (slope) and a starting point (y-intercept)

• relates two different objects

• gives you a rate of change (slope) and a sample point (x,y)

This problem:

• gives you a rate of change (slope) and a starting point (y-intercept)

• relates two different objects

• gives you a rate of change (slope) and a sample point (x,y)