Algebra Word Problems

1

100

The perimeter of a triangular drain is 48 inches. The second side is four inches longer than the first side. The third side is one inch longer than the second. Find the length of each side.

13 17 18

200

Erin is looking for a plumber. During her interviews, Plumbing Company A's price can be found by the equation y = 4x – 13, which x is the number of hours worked. Company B's price can be found by the y = 3x – 10. If Erin estimates the job will take about 10 hours, which company should Erin choose?

Company B

300

Blake is looking for a plumber. Company A's price can determined by the equation y = 4x – 13, which x is the number of hours worked by the plumber. Company B's cost is determined by y = 3x +25. Which company should Blake choose if she estimates the job will take 25 hours?

Place A

400

When Timothy started his own plumbing business in 1975 his company was worth $5,500. In 2000, he learned that, his company was then worth $65,000. Based on a linear model, how much was Timothy’s company be worth in 2006? 

$79,280

500

Ashleigh needs to buy sprinkler heads for a plumbing job she is working. The company sells them to licensed plumbers on sale in accordance to how many they buy. If Ashley was to by just 1 sprinkler head it would cost $315, but if she was to buy 4 she would get each for $219. If she needs 9 for a job she is working, how much can she expect to pay per sprinkler?

99

2

100

Lena and Jodie are sisters, and together they have 56 bottles of nail polish. Lena bought 4 more than half the bottles. How many did Jodie buy?

24

200

Deanna is four more than three times older than Ted. The sum of their ages is 60. How old is Ted?

14

300

Joe, Craig, and Dylan have a combined weight of 326 pounds. Craig weighs 40 pounds more than Joe. Dylan weighs 12 pounds more than Craig. How many pounds Craig weigh?

118

400

Priscilla bought 10 kilograms of chocolate-covered peanuts for $2 per kilogram. How many kilograms of chocolate-covered walnuts would she have to buy at $8 per kilogram to make boxes of nut mixtures that would cost her $4.25 per kilogram?

3.75 kilograms

500

A coffee manufacturer bought some beans from Columbia for $5 per pound and some beans from Jamaica for $3 per pound. He wants to make 10 pounds of each mixture that will cost him $4.75 per pound. How many pounds of each coffee should he use

8.75 of $5 and 1.25 of $3

3

100

Mariam and Saloma are twins and their sister Rahana is 2 years older than them. The total of their ages is 32 years. What are the ages of the three girls?

10, 10, 12

200

Yash can buy three pencils and have 49c change, or he can buy five pencils and have 15c change. How much money did Yash have to start with?

$1

300

The band members sold tickets to their concert performance. Some were $3 tickets, and some were $8 tickets. There were 10 more than twice as many $8 tickets sold as $3 tickets. The total sales were $1,448. How many tickets of each price were sold?

72:$3 tickets and 154:$8 tickets

400

In 18 years' time, John will be five times as old as he was 2 years ago. How old is John now?

7 years old

500

Joe buys 18kg of potatoes. Some of these are old potatoes at 22c per kilogram, the rest are new ones at 36c per kilogram. Joe pays with a $5 note and receives 20c change. What mass of new potatoes does he buy?

6kg

4

100

Keith drove west to go see his sister in California. He drove at an average of 45 km per hour. His mum and dad left 3 hours later and drove an average of 60 km per hour to catch up with him.. How long did it take for them to catch up to Keith?

9 hours

200

A car and a bus started out from the same place, traveling in opposite directions. The average speed of the car was 12 kilometres per hour faster than the bus. After 7 hours, they were 504 kilometres apart. How fast was the car going?

42km/h

300

Leah and Ryanne went out for a bike ride into the country. They averaged 15 km/h on the way out and 10 km/h on the way back, by the same roads. Their total travel time was 6 hours. How far did they go both ways?

72km

400

A submarine left Hawaii two hours before an aircraft carrier. The vessels traveled in opposite directions. The aircraft carrier traveled at 25 km/h for nine hours. After this time the vessels were 280 km apart. Find the submarine's speed.

5 km/h

500

A cattle train left Miami and traveled toward New York. 14 hours later a diesel train left traveling at 45km/h in an effort to catch up to the cattle train. After traveling for four hours the diesel train finally caught up. What was the cattle train's average speed?

10 km/h

5

100

Three consecutive integers have a sum of 54. Find the integers.

17 18 19

200

One number is 8 more than the other number. Twice the smaller number is 7 more than the larger number. What are the numbers?

15 23

300

Jim takes great pride in decorating his float for the homecoming parade for his high school. With the $5,000 he has to spend, Jim buys 5,000 carnations at $0.30 each, 4,000 tulips at $0.60 each, and 300 irises at $0.25 each. Write an inequality which describes how many roses r, Jim can buy if roses cost $0.80 each.

r <= 1281.25

400

Mr. Chan wants to sell some or all of his shares of stock in a company. He purchased the 90 shares for $0.50 last month, and the shares are now worth $3.80 each. Write an inequality which describes how much profit, p, Mr. Chan can make by selling his shares.

p <=$297

500

Find two consecutive odd numbers whose sum is forty-five.

21 and 23