ALGEBRA WORD PROBLEMS ON LINEAR EQUATIONS IN ONE VARIABLE WORKSHEET

Problem 1 :

It took Thomas 25 minutes longer to do his math homework than to do his French homework. He spent a total of 2.25 hours on both subjects. How much time did he spend on math?

Solution

Problem 2 :

Jesse earns $6 an hour babysitting for his younger brother. His mom gave him $71 last week. This included his babysitting money and his $20 allowance. How many hours did Jesse babysit?

Solution

Problem 3 :

Carol and Cathy are each saving money for a vacation. Carol started with $25 and saves $7.50 a week. Cathy started with $10 and saves $10 a week. When will they have saved the same amount?

Solution

Problem 4 :

One weekend Bill earned 3 times as much as Jim. Tom earned $5 more than Jim. In all, they earned $60. How much did each earn?

Solution

Problem 5 :

The Maxwell children have hired a caterer to provide food for an anniversary party for their parents. The caterer has quoted a price of $96 per person and is asking for an advance payment of one-fourth of the total bill. If the advance payment is $1200, how many guests are invited to the party?

Solution

Problem 6 :

Three children each contributed toward a birthday present for their mother. The oldest contributed three times as much as the youngest, while the second oldest contributed 50 cents more than the youngest. If the present costs $10.50, how much did each contribute?

Solution

Problem 7 :

At a school game, student tickets were 50 cents each and adult tickets were $1 each. If the total receipts from 900 tickets were $500, how many tickets of each kind were sold?

Solution

Problem 8 :

A salesman sold 200 pairs of slippers. Some were sold at $6 per pair and the remainder were sold at $11 per pair. Total receipts from this sale were $1600. How many pairs of slippers were sold at $6 each?

Solution