# Introduction to solving patterns in T-tables and equations

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##### Intros

###### Lessons

- Introduction to Solving Patterns in T-tables and Equations:
- Finding one-step relationships between columns in a T-table
- Writing equations for T-table relationships (one-step)
- Writing equations for T-table relationships (two-step)
- How to isolate variables in two-step equations (solving algebra equations)

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##### Examples

###### Lessons

**T-tables and one-step equations**

Write the equation for the relationship between the two variables. Follow the pattern to complete the T-table.**T-tables and two-step equations**

Write the equation for the relationship between the two variables. Follow the pattern to complete the T-table.**T-tables and equations: word problem - 1**

It costs $8 to rent a bicycle for the first hour. It costs $2 every hour after that.**T-tables and equations: word problem - 2**

After the first month, seed A grew into a 2cm plant and continued to grow 5cm each month after that. Seed B grew to 6cm and continued to grow 3 cm each month after that.- Fill out a T-table for the cost of the first three months for both seeds.
*month**height*_{A}

*month**height*_{B}

- Write an equation for each seed's growth, relating the number of months ($m$
_{A}, $m$_{B}) and the height ($H$_{A}, $H$_{B}). - After 1 year, what is the height difference between the two plants?
- When will each plant reach 42cm in height?

- Fill out a T-table for the cost of the first three months for both seeds.

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