91Ó°ÊÓ

When tackling algebraic expressions, one of the key skills you'll need is simplifying.
Simplifying an expression means combining like terms so the expression is less complex and easier to understand.

For example, consider the exercise provided:
\((4.33 p + 1.09 p) + 3.91 p\).

Here, combining like terms means summing coefficients of the variable \(p\).
We start by adding the terms inside the parentheses: \4.33 p + 1.09 p = 5.42 p\.
Then, we add any remaining like terms outside: \5.42 p + 3.91 p\.
This yields \9.33 p\, which is a simplified form.

This process involves:

• Identifying like terms
• Combining coefficients
• Simplifying the resulting expression

Simplifying reduces errors and makes further calculations straightforward.

Prealgebra lays the groundwork for understanding algebra and higher-level math concepts.
At this stage, you get familiar with mathematical operations and the properties of numbers.

One essential skill in prealgebra is understanding variables and how to work with them.
A variable represents an unknown value, typically shown as letters like \(p\).

Using the exercise provided, the expression \((4.33 p + 1.09 p) + 3.91 p\)\ is an example of how variables are used.
You must remember to:

• Identify variables
• Combine like terms
• Simplify the expression

In prealgebra, we often deal with basic addition, subtraction, and the introduction of variables.
This prepares students for more complex algebraic concepts.

Understanding variables is crucial in algebra.
Variables, usually represented by letters like \(p\) or \(x\), stand in for unknown or changeable numbers.

In our example \((4.33 p + 1.09 p) + 3.91 p\),\ \(p\) is the variable.
The coefficients are the numbers attached to these variables, like 4.33, 1.09, and 3.91.

Combining variables involves:

• Adding their coefficients
• Ensuring all terms have the same variable

For instance:
First combining \4.33p\ and \1.09p\ simply adds their coefficients: \4.33 + 1.09 = 5.42\.
Then, add the remaining term \3.91p\ to get \5.42 p + 3.91 p = 9.33 p\.
This simplification makes variables manageable and ready for advanced operations in algebra. Variables simplify complicated expressions, allowing for elegant solutions to complex problems.