Translating Equations and Solving Word Problems

Translate the following:

$$5x+2=32$$  

Translate the following:

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

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

(a)  

Translate the following:

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

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

(a)  

Translate the following:

b less than seventy-six

General admission to the amusement park is $73 a person. An unlimited arcade wristband is an additional $13. Parking is $11 per family. How many family members visited the park if the total cost of the trip was $527?

(a)  

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?

(a)  

Don earns $1400 a week for working 40 hours and an additional $17.50 an hour for each hour over 40. Last week, Don made $1452.50. How many hours over 40 did he work?

(a)  

Translate the following:

Fifteen plus the difference of twice a number and three is forty-five.

Five times the sum of x and 5 is 8 less than twice x. Solve for x.

(a)  

Nine more than the quotient of a number and three is negative twenty-four. Solve for the variable.

(a)