Writing Two-Step Equations
Name ______Period ______
For each problem, WRITE AN EQUATION that could be used to solve the problem, and then SOLVE it.
1a. At the Bowling Palace, shoe rental is #3.00 and each game is $2.00. If Karen has $15.00 to spend at the bowling alley, how many games can she bowl?
1b. If Karen takes a friend with her and pays for everything, how many games can each one bowl?
2a. Suppose you are saving money to buy a digital video camera that costs #340. You have already saved $120 and plan to save $20 each week. How many weeks will you need to save?
2b. If the digital video camera is reduced by $40.00, how many weeks will you need to save ? What if the camera were reduced by 25%, then how many weeks would it take to save the money?
3a. An electrician charges $35 for a house call and $80 per hour worked. If the total charge was $915 to wire a new house, how many hours did it take to wire the house?
3b. If it only took 5 hours to wire the house, how much was the total charge?
4a. the temperature is 8 degrees. It is expected to fall 5 degrees each hour for the next several hours. In how many hours will the temperature be degrees?
4b. The coldest temperature ever recorded is degrees in Volstok, Antarctica. How many hours would it take to reach this temperature assuming the temperature continues to fall 5 degrees each hour?
5a. Jasmine bought 6 CD’s, all at the same price. The tax on her purchase was $7, and the total was $73. What was the price of each CD?
5b. If CS’s went on sale for ½ off, how many could you buy?
6a. Logan collected pledges for the charity walk-a-thon. He is receiving total contributions of $68 plus $20 for every mile that he walks. If Logan raised $308, how many miles did he walk?
6b. If he runs instead of walks, he will be paid $30 for every mile instead. How many miles does he need to run to raise the same amount of money?
7a. There were 640 gallons of water in a 1600-gallon pool. Water is being pumped into the pool at a rate of 320 gallons per hour. How many hours will it take to fill the pool?
7b. When the pool is ½ filled, chemicals must be added to the pol. After how many hours will the chemicals need to be added?
8a. Jamie rented a canoe while she was on vacation. She paid a flat rental fee of $85.00 plus $7.50 each day. Her total cost was $130. For how many days did she rent the canoe?
8b. The canoe rental company offers Jamie the option to rent a fishing pole along with her canoe at an additional cost of $5.00 per day. For how many days can she rent both?