# Year Seven Mathematics Worksheets

Math can sometimes be confusing, especially when it comes to solving problems involving equations. However, with a little bit of understanding, adding and subtracting linear expressions with rational coefficients can be a breeze!

Let’s start by defining what a linear expression is. A linear expression is an algebraic expression that consists of variables, coefficients, and constant terms that are arranged in a linear fashion. An example of a linear expression is “2x + 3y + 7”.

Now, let’s talk about rational coefficients. A rational coefficient is a number that can be expressed as a fraction. For example, 2/3, 3/4, and 1/2 are all rational coefficients.

So, what does it mean to add and subtract linear expressions with rational coefficients? Well, it’s just like adding and subtracting any other type of linear expression. The only difference is that the coefficients (the numbers in front of the variables) are rational numbers.

Here’s an example to help illustrate the concept. Let’s say you have two linear expressions: 2x + 3y + 7 and 1/2x + 1/3y + 4. To add these two expressions, simply combine the corresponding terms (the terms with the same variables). So, you would get:

(2 + 1/2)x + (3 + 1/3)y + (7 + 4)

which simplifies to:

5/2x + 10/3y + 11

And that’s it! Adding and subtracting linear expressions with rational coefficients is just like adding and subtracting any other type of linear expression. The only difference is that the coefficients are rational numbers instead of whole numbers.

It’s important to practice this concept so that you can become confident in solving more complex mathematical problems. Remember, math is all about understanding the underlying concepts, so don’t be discouraged if it takes some time to grasp these ideas. Keep practicing and you’ll get there!

# Year Seven Math Worksheet for Kids – Adding and Subtracting Linear Expressions with Rational Coefficients

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