Sometimes... some variables can only stand for one thing, like m= slope, but "x" is a variable that can stand for just about anything; slope, axis, and equations.
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algebra and math are two completly different things there is a lot of differences
all kinds of things are different like the way we use more numbers and have technology to help us
control variables: the things that are not changing.Independent variables: the things that you change.Dependent variables: the things that are changed due to the independent variable
I suspect that different people - or schools - may use the term "intermediate mathematics" for different things.
Geometry is like a block from Algebra 1 to Algebra 2 and it contributes by teaching you the basics of the things you will learn in Algebra 2.