Translate Word Problems to Expressions

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

Translate this phrase into an algebraic equation: A number tripled subtracted from 60 is the same as 21.

• 3c − 60 = 21

• 60 − 3 = 21c

• 60 − 3c = 21

• c(60 − 3) = 21

Translate this phrase into an algebraic equation:

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

For a walk-a-thon a sponsor committed to give you a flat fee of $5 plus $2 for every mile m you walk. Write an expression for the total amount you will collect from your sponsor at the end of the walk-athon.

• 5+2

• 5+2m

• 5m+2

• 5-2m

• 2m-5

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 

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

• 4m + 8

• 8m - 4

• 8m + 4

• 4m - 8

If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression be?

• 3 + 2x

• 3x + 2

• 3x + 2x

• 5x

What word phrase can you use to represent "5x + 2"?

• 5 times a number plus 2

• 2 more than the product of 5 and a number

• a number times the sum of 5 and 2

• the sum of 5 times a number and 2