Translating Equations from 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)  

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)  

Given the equation:

y = 10x - 20, select the scenario that matched the equation where x is the number of miles walked and y is the total money raised.

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)  

Five less than twice a number is equivalent to 47. 

10 less that half a number is equivalent to 8.