Equations Word Problems

Write an equation to represent this word problem.

• 5 + 4e = 25

• 5 = 4e + 25

• 5 + 4 + 25

• 4 - 4e = 25

Five less than twice a number is equivalent to 47. 

• 5 - 2x = 47 

• 2x - 5 = 47 

• 5x - 2 = 47 

• 2 - 5x = 47 

10 less that half a number is equivalent to 8.  

• 10 - 1⁄2x = 8 

• 1⁄2x + 10 = 8

• 1⁄2x - 10 = 8

• 10x - 0.5 = 8

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 

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.  How many miles does Mr. Lewis live from the airport?

• 18 miles

• 20 miles

• 22 miles

In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?

• f + 8 = 14

• f - 8 = 14

• f/8 = 14

• 8f=14

You take out a loan from a bank for $3600.  You plan to pay back 300 per week.  Which equation would help you solve the number of weeks to pay back the loan?

• 3600 - 300w = 0

• -3600w + 300 = 0

• 0 - 3600 = 300w

• w + 3600 + 300 = 0