Linear Equations in Real Life Situations

A painter charges $12 per hour plus $50 for each job. If he made $194 on a job, how many hours did he work?

• 12 hours

• 10 hours

• 16 hours

• 5 hours

Amir wants to buy a video game that costs $70, but he only has $20. He can earn $10 for each car he washes. How many cars he must wash to have enough money to buy the game?

• 5 cars

• 7 cars

• 2 cars

• 4 cars

There were 331 students that went on a field trip. Six buses were filled and 7 students traveled in a van. How many students were on each bus?

• 6 + 7x = 331

• 331 - 6x = 7

• 6x + 7 = 331

• 6x + 7y =331

Jen wants to buy a new car for $18,500. She pays $2,500 at signing and wants to pay $250 per month. How many months until it is paid off?

• 18,500 + 2,500 = 250x

• 2,500 - 250x = 18,500

• 250x + 2,500 = 18,500

• 2,500 (250)x = 18,500

Casey has $50 to spend at Best Buy. She wants to buy a DVD for $14 and some CDs that cost $12 each. How many CDs can she buy?

• x = 5.33

• x = 3

• x = 2.71

• x = 4.42

Brenda's gym charged $10 fee to join plus $29 per month. She calculated that the gym has cost her a total of $155 since she joined. Which equation could be used to determine the number of months(m) Brenda has been going to the gym?

• 10m + 29 = 155

• 10 + 29 = 155m

• 10 + 29m = 155

• m + 29 = 155 - 10

Bonnie pays a monthly fee of $80 at the health club and an additional $9 every time she attends a yoga class. Which expression below shows her total cost T if she attends y yoga classes this month?

• T = 80 + 9y

• T = 80y + 9

• T = 80 + 9 + y

• T = (80+9)y

Yvette has a home-based business putting on children's parties. She charges $55 to design the party and then $4 per child. Write a function rule that relates the total cost of the party to the number of children n.

• f(n) = 4 + 55n

• f(n) = 4 - 55n

• f(n) = 4n - 55

• f(n) = 55 + 4n

A flower deliveryman receives $40 a day for transportation costs plus $10 for each flower delivery he makes. How many dollars (d) will he have after making x flower deliveries

• d = 10x + 40

• d = x + 10 + 40

• d = 40x + 10

• d = 10x - 40

The height, h, of an object decreases by 7 feet every second. If the object is initially set at 100 feet, which equation represents its height after s seconds?

• h = 7 - 100s

• h = 100s - 7

• h = 100 - 7s

• h = 100 + 7s