# 7th Grade Math Linear Equations Word Problems

This page is for seventh grade math students who need help, and for teachers and tutors who are looking for word problems on linear equations.

# Linear Equations Word Problems

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# Seventh Grade: Linear Equations Word Problems

A bike shop rents mountain bikes
A bike shop rents mountain bikes for a \$8.50 insurance charge plus \$3.50 per hour. For how many hours can a person rent a bike with \$32...
At the afternoon matinee movie
At the afternoon matinee movie 3 adult tickets and 4 child tickets cost \$41, and 4 adult tickets and 3 child tickets cost \$43...
Six times a number decreased by five
6 times a number decreased by 5 is the same as 4 times the number increased by 9...
The board of directors of a corporation
The board of directors of a corporation grant a bonus of \$5000 to be divided between two employees. The senior employee receives \$1200 more than the junior ...
A rectangular lot whose perimeter
A rectangular lot whose perimeter is 360 ft. is fenced along 3 sides. An expensive fencing along the lot's length costs \$20 per ft. and an inexpensive fencing along the 2 side widths costs \$8 per ft. The total cost of the fencing along the 3 sides comes to \$3280...
Mark bought 114 meters of fencing
Mark bought 114 meters of fencing to enclose an area of pasture for his sheep. He plans to use all of the fencing to make a rectangle that is twice as long as it is ...
There are two phone plans
There are two phone plans. One plan has \$28 one time fee, and 9 cents a min. The second is 13 cents a ...
A motorboat travels 332 in 4 hours
A motorboat travels 332 in 4 hours going upstream 555 and in 5 hours going downstream. What is the speed of the boat in still ...
The band boosters are organizing a trip
The band boosters are organizing a trip to a national competion for the 226-member marching band. A bus will hold 70 students and their instruments. A van will hold 8 students and their instuments. A bus costs \$280 to rent for the trip. A van costs \$70 to rent for the trip. The boosters have \$980 to use for ...
A bulldozer can move 25 tons/h of material
A bulldozer can move 25 tons/h of material,and an end loader can move 18 tons/h.The bulldozer costs \$75/h to operate,and the end loader costs \$%0/h to operate.During a 1 hour construction company moved 204 tons at a cost of \$600...
The following table gives the population
The following table gives the population (in millions) of Georgia and North Carolina in 1990 and 2003.

Year           Georgia       North Carolina
1990             6.5                  6.8
2003             8.7                  8.4

Assume that the population growths are ...
Ravi will be four times his present age
Ravi will be four times his present age after five ...
Two cars started from the same point
Two cars started from the same point but traveled in opposite directions. the faster car traveled 15 kilometers faster than the slower car. after five hours the 2 cars were 575 kilometers ...
Three pumps are being used to empty a small pool
Three pumps are being used to empty a small pool. The first pump is twice as fast as the second pump. The first two pumps can empty the pool in 8 hours, while all three pumps can empty it in 6 hours. How long would it take each pump to empty the pool individually? Hint: Let x represent the fraction of the pool that the first pump can empty in one hour. Let y and z represent this fraction for the second and third ...
The population of black mountain
The population of black mountain is 40,000 and is gowing by 800 per year. The population of Hidden Valley is 67,000 and is decreasing by 550 per ...
The product of whole positive even integer
The product of whole positive even integer and the product of the next larger positive integer equals the reciprocal of the first ...
If robert has ten coins all nickels and dimes
If robert has ten coins all nickels and dimes worth 70 cents how many of each kind of coin does he have?
Lara arranged the books on her shelf by size
Lara arranged the books on her shelf by size. 2/10 of the books were tall, and 1/2 of the books were ...

# How Others Use Our Site

My son is having great difficulty undestanding how to write linear equations for word problems. I can`t help him without getting help myself:).
I am hoping I will learn how to do word problems related to Solving Systems of Linear Equations in Two Variables. It is an area I am having the most trouble.. especially related to distance (2 autos traveling at different speeds, etc.) problems where speed is unknown.
I hope it helps me with word problems and linear equations.