Algebra Word Problems

1

100

The perimeter of a triangle 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

Mark is looking for a new job. During his interviews, Company A says pay is determined by the equation y = 4x – 13, which x is the number of hours worked. Company B says their pay is determined by y = 3x – 10. Which company should Mark choose if he can only work ten hours?

Place A

300

Erin is looking for a new job. During her interviews, Company A says pay is determined by the equation y = 4x – 13, which x is the number of hours worked. Company B says their pay is determined by y = 3x +25. Which company should Erin choose if she can only work 25 hours?

Place B

400

Timothy bought a car for $5,500 in 1975. In 2000, he learned that, fully restored, his car was worth $65,000. Based on a linear model, how much was Timothy’s car worth in 2006? How much will his car be worth in 2009?

79,280 and 86,420

500

For the Term 3, Ashleigh is taking a Calculus class on Saturday mornings. The first day of class the attendance was 315 and the attendance decreased linearly. On the fourth day of class the attendance was 219. What will the attendance be on the ninth day of class?

99

2

100

Abby and Ava are friends, and together they have 56 bottles of nail polish. Abby bought 4 more than half the bottles. How many did Ava buy?

24

200

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

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

Gabbi and Haze are twins and their sister Becky 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

Leyla can buy three pencils and have 49c change, or he can buy five pencils and have 15c change. How much money did Leyla 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

Charles drove North to go see his daughter in Maryland. He drove at an average of 45 mph per hour. His brother left 3 hours later and drove an average of 60 mph per hour to catch up with him. How long did it take for him to catch up to Charles?

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 miles per hour faster than the bus. After 7 hours, they were 504 miles apart. How fast was the car going?

42 miles

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