Translating Equations and Word Problems

Five less than twice a number is equivalent to 47. 

• 5 - 2x = 47 
• 2x - 5 = 47 
• 5x - 2 = 47 
• 2 - 5x = 47 

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 

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 

Three times the sum of a number and 7 is equivalent to 57. 

• 3x + 7 = 57 
• 3(x + 7) = 57
• 7x + 3 = 57 
• 7(x + 3) = 57

Jordan's teacher, Mr. Langdon, is eight years younger than five times his age. The sum of their ages is 64. Which equation can be used to find Jordan's age? 

• 6x - 8 = 64
• 5x - 8 = 64
• 4x - 8 = 64 
• 5x + 8 = 64

Twice a number is 24.

• 2n = 24
• 2/n = 24
• 2 + n = 24
• 2 - n = 24

Translate the following:

11 subtracted from a number is 1

• 1 - 11 = x

• 11 - x = 1

• x - 11 = 1

• x - 1 = 11

Translate the following:

6 less than 10

• 10 - 6

• 6 - 10

Three less than twice a number

• 2x − 3

• 3x − 2

• 3 − 2x

• 2 − 3x

Translate the sentence into an equation:
Four more than six times a number is 18.

• 4 + 6x = 18
• 4x + 6 = 18
• 6x + 4 = 18
• not enough info