Translating Equations and Word Problems

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)  

Translate: ten more than a number is 52.

Translate: eight less than a number is 24.

Translate: Three times a number decreased by 12 is 9.

Translate: ten more than four times a number is 30.

Dan's weekly budget is $125. He has already spent $50 on gas. How much money does he have left to spend?

Write an equation to represent this situation, using x to represent how much money he has left to spend.

Tom had his birthday party at the movies. It cost $27 for pizza and $8.50 per friend for the movie tickets. How many friends did Tom have at the party if he spent $78? Write an equation to represent this situation. Use f to represent how many friends Tom has at the part.