Translate Word Problems to Math Equations

Translate the sentence into an equation, and then solve the equation:
Three less than a number is 18.

• 3 - x = 18; x = -15

• 3 - x = 18; x = 21

• x - 3 = 18; x = 21

• x - 3 = 18; x = -15

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

• 1s + 3c = 38
  2s + 3c = 52

• 3s + 1c = 38
  3s + 2c = 52

• s + c = 38
  s + c = 52

• 3s + 3c = 38
  1s + 2c = 52

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all.  Upon completing the job he counted out the coins and it came to $6.60.  Which system of equations could be used to find the exact number of dimes and nickels? 

• d + n = 6.60
  .10d + .05n = 80

• d + n = 80
  d + n = 6.60

• d + n = 80
  .10d + .05n = 6.60

• d + n = 80
  .05d + .10n = 6.60

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50.  It turns out that the doughnuts were more popular than the coffee.  On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25.  Which equations could be used to determine the cost of the coffee? 

• 10c + 5d = 14.25
  5c + 10d = 16.50

• 10c + 5d = 16.50
  5c + 10d = 14.25

• c + d = 10
  5c + 10d = 16.50

• c + d = 5
  5c + 10d = 16.50

Translate the following word problem into an equation: "Three less than twice a number is 13."

Translate this sentence into an equation.
72 is the product of 8 and a Steve's age.
Use the variable h to represent Steve's age.

• 72 = 8 + h

• 72 = 8h

• 72 = 8 - h

• 72 = 8/h

Translate the following word problem into an equation: "Ten more than four times a number is equal to 50."

Choose the correct mathematical equation to represent the following sentence:

Two less than seven times a number is equal to negative 10

• 2 − 7n = −10

• 2 + 7n = -10

• 7n − 2 = −10

• 7n + 2 = -10

Which equation matches the situation:

Jorge has d dollars and spends 17. Now he has 3 dollars.

• 3d = 17

• 17d = 3

• d - 17 = 3

• 3 + d = 17

• 17/d = 3

Translate the following word problem into an equation: "The sum of a number and 9 is equal to 14."