Linear Expressions Word Problems

Would you write a linear equation to model the following situation in slope-intercept form or standard form? 
Luke wants to make 80 dollars doing yardwork. He earns $10 per lawn he mows and $20 per garden he weeds. 

• Standard Form

• Slope-Intercept

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

Jay would like to buy some toys to donate to charity. He plans to buy 9 dolls at d dollars each, 2 toy cars at c dollars each, and 3 train sets at t dollars each. Which expression represents the total cost, in dollars, of these items that Jay wants to buy?

Amari already has 88 flowers in her Garden, and she can also grow 2 flowers with every seed packet she uses. How many seed packets does Amy need to have a total of 92 flowers in her garden?

• 1 packet

• 2 packets

• 3 packets

• 4 packets

Jay would like to buy some toys to donate to charity. He plans to buy 9 dolls at d dollars each, 2 toy cars at c dollars each, and 3 train sets at t dollars each. How much will Jay spend in total if dolls cost $5, toy cars cost $1, and train sets cost $10?

• $16

• $14

• $77

• $80

Terry has already baked 25 pies and she can bake 3 pies with each additional cup of sugar she buys. with 4 additional cups of sugar, how many total pies can Terry bake?

• 32 pies

• 37 pies

• 12 pies

• 29 pies

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours

• 4 hours

• 1 hour

• 2 hours

A holiday meal costs $12.50 a person plus a delivery fee of $30.  Which equation represents the amount a holiday meal costs, including delivery, for x people?

• y = 30 + 12.5x 

• y = 12.5 + 30

• y = 12.5 + 30x

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

• y = 8.5 + 25.5

• y = 25.5 + 8.5x

• y = 8.5 + 25.5x

Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?

• y = 7x + 20

• y = 7 + 20x

• y = 20 + 7