A long-distance runner started on a course at an average speed of 8 mph. Half an hour later, a second runner began the same course at an average speed of 10 mph. How long after the second runner starts will the second runner overtake the first runner?
The domain of a function is one of the most interesting topics in Algebra that many students are confused of. It is always partnered with the "range" of the function.
Domain, simply put, is the set of all permissible values of X while the range are the permissible values of Y.
The process is actually looking for EXCEPTIONS in the possible values of X; which means, the domain of a function is the SET of ALL REAL numbers EXCEPT for the non-permissible values. Domain notation may vary on how the topic is tought, but the logic is the same.
When solving systems of linear equations, you can use methods like elimination method to computer solutions to the linear system. Here is a youtube video from patrickJMT using elimination method to determine a system with infinitely many solutions. These systems are called "dependent" systems.
In algebra, we will be dealing with "terms" most of the times. By definition, a term can be any of the following:
- a CONSTANT like 2, 25, x,
- the product of a number (which is called coefficient) and a variable like –6x, 21y,
- the product of two or more variables: e.g. a2, xy, 3y2, 5xy
The video above describes the process of combining "like terms" to simplify an algebraic expressions. Please feel free to comment below or post questions if you need assistance.
When studying Algebra, you will surly encounter the imaginary number, i. What is i? How to calculate expressions involving i?