Word Problems
Growth: A tree grows at a rate of 5 centimeters per year. If the tree is currently 120 centimeters tall, write an algebraic expression for the height of the tree after t years.
The height of the tree after t years is given by 120 + 5t centimeters.
Oxygen Production: A mature tree produces approximately 250 kilograms of oxygen per year. If there are n mature trees in a park, write an algebraic expression for the total amount of oxygen produced by the trees in the park per year.
The total amount of oxygen produced by the trees in the park per year is 250n kilograms.
x +8 = 13
x = 5
x+ 7 = 15
8
2x + 5 =15
x = 2
Density: In a forest, there are d trees per square kilometer. If the forest covers an area of 10 square kilometers, write an algebraic expression for the total number of trees in the forest.
The total number of trees in the forest is 10d.
Carbon Sequestration: A single tree can sequester an average of 20 kilograms of carbon dioxide per year. If there are t trees planted in a forest, write an algebraic expression for the total amount of carbon dioxide sequestered per year.
The total amount of carbon dioxide sequestered per year is 20t kilograms.
y - 12 = 5
y = 17
z + 9 = -25
-16
3x - 16 = -19
x = (-1)
Canopy: The canopy of a tree has a diameter of 12 meters. Write an algebraic expression for the radius of the tree's canopy.
The radius of the tree's canopy is 12 / 2 = 6 meters
Tree Growth Rate Comparison: Tree A grows at a rate of 10 centimeters per year, while Tree B grows at a rate of 15 centimeters per year. If Tree A is currently 100 centimeters tall and Tree B is currently 80 centimeters tall, write an algebraic expression for the number of years it takes for Tree A to be taller than Tree B.
The number of years it takes for Tree A to be taller than Tree B is given by (100 + 10t) > (80 + 15t).
2a + 5 = 8
a = 3/2
y + 32 = 30
y = -2
4 - 5x = -21
x = 5
Harvesting: A lumber company harvests trees from a forest. If the company harvests t trees per day and operates for d days, write an algebraic expression for the total number of trees harvested.
The total number of trees harvested is t x d.
Planting: A group of volunteers is planning trees in a park. If each volunteer plants 10 trees and there are v volunteers, write an algebraic expression for the total number of trees planted.
The total number of trees planted is 10v.
1 - 2b = 5
b = (-2)
x + 17 = 30
x = 13
2 (x + 1) = 8
x = 3
Circumference: The circumference of a tree trunk is 80 centimeters. Write an algebraic expression for the diameter of the tree trunk.
The diameter of the tree trunk is 80 / π ≈ 25.46 centimeters.
Tree Lifespan: A certain type of tree has an average lifespan of 80 years. If a tree is currently x years old, write an algebraic expression for the number of years it is expected to live.
The number of years the tree is expected to live is 80 - x
5y + 1 = 16
y = 3
y-15 = 21
y = 36
5 (x - 1) -1 =34
x = 8