Algebra Linear Word Problems Seatwork Questions
Seatwork Linear Word Problems (One Unknown)
1. There is a number such that three times the number minus 6 is equal to 45. Find the number.
2. The sum of two numbers is 41. The larger number is 1 less than twice the smaller number. Find the numbers.
3. There are two numbers whose sum is 53. Three times the smaller number is equal to 19 more than the larger number. What are the numbers?
4. Mrs. Mahoney went shopping for some canned goods which were on sale. She bought three times as many cans of tuna as cans of peaches. If Mrs. Mahoney purchased a total of 24 cans, how many of each did she buy?
5. Sarah leaves Seattle for New York in her car, averaging 80 mph across open country. One hour later a plane leaves Seattle for New York following the same route and flying 400 mph. How long will it be before the plane overtakes the car?
6. Mr. Kasberg rides his bike at 6 mph to the bus station. He then rides the bus to work, averaging 30 mph. If he spends 20 minutes less time on the bus than on the bike, and the distance from his house to work is 26 miles, what is the distance from his house to the bus station?
7. A train averaging 50 mph leaves San Francisco at 1 PM for Los Angeles 440 miles away. At the same time a second train leaves Los Angeles headed for San Francisco on the same track and traveling at an average rate of 60 mph. At what time does the accident occur?
8. Timothy leaves home for Skedunk 400 miles away. After 2 hours, he has to reduce his speed by 20 mph due to rain. If he takes 1 hour for lunch and gas and reaches Skedunk 9 hours after he left home, what was his initial speed?
9. Annabel has 25 ounces of a 20% boric acid solution which she wishes to dilute to a 10 % solution. How much water does she have to add in order to obtain the 10% solution?
10. Forty litters of a 60% disinfectant solution are to be mixed with a 10% solution to dilute it to a 20% solution. How much of the 10% solution must be used?
11. A doctor orders 20 grams of a 52% solution of
1. There is a number such that three times the number minus 6 is equal to 45. Find the number.
2. The sum of two numbers is 41. The larger number is 1 less than twice the smaller number. Find the numbers.
3. There are two numbers whose sum is 53. Three times the smaller number is equal to 19 more than the larger number. What are the numbers?
4. Mrs. Mahoney went shopping for some canned goods which were on sale. She bought three times as many cans of tuna as cans of peaches. If Mrs. Mahoney purchased a total of 24 cans, how many of each did she buy?
5. Sarah leaves Seattle for New York in her car, averaging 80 mph across open country. One hour later a plane leaves Seattle for New York following the same route and flying 400 mph. How long will it be before the plane overtakes the car?
6. Mr. Kasberg rides his bike at 6 mph to the bus station. He then rides the bus to work, averaging 30 mph. If he spends 20 minutes less time on the bus than on the bike, and the distance from his house to work is 26 miles, what is the distance from his house to the bus station?
7. A train averaging 50 mph leaves San Francisco at 1 PM for Los Angeles 440 miles away. At the same time a second train leaves Los Angeles headed for San Francisco on the same track and traveling at an average rate of 60 mph. At what time does the accident occur?
8. Timothy leaves home for Skedunk 400 miles away. After 2 hours, he has to reduce his speed by 20 mph due to rain. If he takes 1 hour for lunch and gas and reaches Skedunk 9 hours after he left home, what was his initial speed?
9. Annabel has 25 ounces of a 20% boric acid solution which she wishes to dilute to a 10 % solution. How much water does she have to add in order to obtain the 10% solution?
10. Forty litters of a 60% disinfectant solution are to be mixed with a 10% solution to dilute it to a 20% solution. How much of the 10% solution must be used?
11. A doctor orders 20 grams of a 52% solution of