Understanding And Solving "Y2 + 3X - 1"

Graph the function y=2/3x−1. I can't seem to remember how to do this from socratic.org

Introduction

As a professional teacher, it is important to understand that students may have difficulty with certain mathematical expressions. One such expression is "y2 + 3x - 1". In this article, we will explain what this expression means and how to solve it.

What Does "y2 + 3x - 1" Mean?

The expression "y2 + 3x - 1" is a polynomial expression. A polynomial is a mathematical expression that consists of variables and coefficients, with operations such as addition, subtraction, multiplication, and division. In this case, "y2" means y raised to the power of 2, which is also written as y squared. "3x" means 3 multiplied by x. "-1" means negative 1.

How to Solve "y2 + 3x - 1"

To solve "y2 + 3x - 1", we need to simplify the expression. We can do this by combining like terms. Like terms are terms that have the same variables raised to the same powers. In this case, we can combine "y2" with any other terms that have "y2", and we can combine "3x" with any other terms that have "3x". We cannot combine "-1" with any other terms, as it is a constant term.

Step 1: Combine Like Terms

To combine like terms, we first need to identify them. In this case, "y2" is the only term with "y" in it, and it is raised to the power of 2. "3x" is the only term with "x" in it, and it has a coefficient of 3. Therefore, we can combine "y2" and "3x" to get "y2 + 3x".

Step 2: Simplify the Expression

Now that we have combined like terms, we can simplify the expression. The simplified expression is "y2 + 3x - 1". This is the final answer, as we cannot combine any more like terms or simplify the expression any further.

Conclusion

In conclusion, "y2 + 3x - 1" is a polynomial expression that can be simplified by combining like terms. We can combine "y2" and "3x" to get "y2 + 3x", and the final answer is "y2 + 3x - 1". It is important for teachers to explain these concepts clearly and patiently to their students, as it can be confusing for them.