Translating Equations and Word Problems

• Five times the sum of a number and two is thirty-two

• Two times the sum of a number and five is thirty-two

• A number times the sum of five and two is thirty-two

• The sum of five times a number and two is thirty-two

Translate the following:

Three times the difference of a number and nine is seventy-two.

**Use x as your variable and no spaces.**

Translate the following:

Seven less than the difference of five times a number and two.

**Use x as your variable and no spaces.**

Tickets to the party are $14 if purchased ahead of time and $25 if purchased at the door. The total amount raised from all ticket sales was $625. If eleven tickets were purchased at the door, how many tickets were purchased ahead of time?

Translate the following word problem into an algebraic equation: The difference between a number and 8 is 12.

• x - 8 = 12

• x - 12 = 8

• x + 12 = 8

• x + 8 = 12

Translate the following word problem into an algebraic equation: The sum of three consecutive even numbers is 54.

• 15, 17, 19

• 16, 18, 20

• 10, 12, 14

• 22, 24, 26

Angelica has read 6 less manga comics than the number of comics that Reina has read. Write a simple algebraic expression to represent the number of comics that Angelica has read.

• 6x

• x - 6

• x + 6

• 6 - x

Anibal's farm produced twice the number of bananas that Alejandra's farm produced. Write a simple algebraic expression that represents how many bananas were produced by Anibal's farm.

• 2x

• 10

• 2 + x

• 5x

Angelica has read 6 less manga comics than the number of comics that Reina has read. Write a simple algebraic expression to represent the number of comics that Angelica has read.

• 6x

• x - 6

• x + 6

• 6 - x

The temperature was d degrees in the afternoon. It was 30 degrees colder in the evening. Which expression will show the new temperature?

• d + 30

• d - 30

• 30 - d