Equation to Word Problems

472 students are going on a field trip. 120 students will be returning home and the rest will be spending the night in cabins. If a cabin sleeps 8 people, which equation can be solved to find how many cabins need to be rented?

• 120 - 8c = 472

• 120 + 8c = 472

• 120c - 8 = 472

• 120c + 8 = 472

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63

• 7x = 63

• 7x - 35 = 63

• 35x + 7 = 63

A taxi charges $3, plus $1.50 for each mile traveled.  Mr. Lewis rode in the taxi from his home to the airport and was charged $30.  Which equation can be used to find how many miles Mr. Lewis lives from the airport?

• 3x + 30 = 1.50

• 1.50x + 3 = 30

• 30x + 1.50 = 3

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

• 50 + 20m = 290

• 20 + 50m = 290

• 50 + 20 = m

• 50m - 20 = 290

Ty weighed 230 pounds. He went on a diet and his weight was decreased by 18 pounds. Which equation can be used to find out how much he now weighs?

• w + 230 = 18

• w + 18 = 230

• w - 18 = 230

• w - 230 = 18

Write an equation to represent this word problem.

• 24 - 7p = 10

• 24 + 7p = 10

• 24 = 7p - 10

• Can't do it

Five less than twice a number is equivalent to 47. 

• 5 - 2x = 47 

• 2x - 5 = 47 

• 5x - 2 = 47 

• 2 - 5x = 47 

A gymnastics center charges a $60 registration fee and $15 per class. Olivia registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Olivia signed up for?

• 60 - 15x = 210

• 15x - 60 = 210

• 15x + 60 = 210

• 210 + 15x = 60

Five times a number is equivalent to thirty-two less than nine time the same number. 

• 5x - 32 = 9x 

• 5x = 9x - 32 

• 5x = 9x + 32 

• 5x - 9x = 32 

Justin is purchasing a new iPhone.  The sales clerk says that if he pays $100 now his monthly payments will be $25 and his total cost will be $600.  Which equation can be used to determine how many months Justin will be paying for his phone? 

• 25x + 100 = 600

• 25x - 100 = 600 

• 600 - 100x = 25

• 600 + 25x = 100