Translating Equations from Word Problems

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

Hussam 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 Hussam 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 

Tags

CCSS.HSA.CED.A.3

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

One - third of the sum of a number and 24 is equivalent to 10.  

• 1⁄3(x + 24) = 10 
• 1⁄3x + 24 = 10 
• 1⁄3(x - 24) = 10 
• 1⁄3x + 10 = 24 

Twice the difference of a number and 16 is equivalent to 28. 

• 2x + 16 = 28
• 2x - 16 = 28 
• 2(x + 16) = 28 
• 2(x - 16) = 28

Three-halves the difference of a number of 22 is equivalent to 45.  

• 3⁄2(x + 22) = 45
• 3⁄2x - 22 = 45
• 3⁄2(x - 22) = 45
• 3⁄2x + 22 = 45

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

The sum of three consecutive integers is 147. Which equation can be used to find the first integer? 

• 3x = 147
• x + 3 = 147 
• x + x + 1 + x + 2 = 147 
• x ⋅ x ⋅ x = 147 

Tags

CCSS.HSA.CED.A.3