Understanding And Solving "4X 5X 9 5X 9"

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Introduction

As a professional teacher, one of the most common problems that students face is solving algebraic expressions. One such expression is "4x 5x 9 5x 9", which can seem daunting at first glance. However, with a little guidance and practice, it can be easily solved. In this article, we will break down the expression step-by-step and provide a solution.

Breaking Down the Expression

Let's start by taking a closer look at the expression. "4x 5x 9 5x 9" consists of several terms that are separated by addition and subtraction signs. To simplify this expression, we need to combine like terms, which means that we need to group together the terms that have the same variable and exponent.

Step 1: Combine the Like Terms

The first step is to combine the like terms. We can see that there are two terms that have the variable "x" and the same exponent of 1. These terms are "4x" and "5x". We can combine them by adding their coefficients, which gives us "9x". So, we can rewrite the expression as: 9x 9

Step 2: Combine the Constant Terms

Now, we need to combine the constant terms. The two constant terms in the expression are "9" and "9". We can combine them by adding their coefficients, which gives us "18". So, we can rewrite the expression as: 9x + 18

Solution

Therefore, the solution to the expression "4x 5x 9 5x 9" is "9x + 18". This is the final simplified form of the expression.

Conclusion

In conclusion, algebraic expressions can be intimidating, but they can be easily solved by breaking them down into smaller parts and combining like terms. In the case of "4x 5x 9 5x 9", we combined the like terms and constant terms separately to arrive at the simplified form of "9x + 18". It's important to practice solving different types of expressions to build your algebraic skills.