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Combining like terms is a fundamental step in simplifying algebraic expressions. Like terms are terms that contain the same variable raised to the same power. For instance, in the expression \((1.27q + 0.25q) + 0.75q\), all terms are like terms because they all contain the variable \(q\).

To combine like terms, add or subtract their coefficients. Here, we start with:
\(1.27q + 0.25q\). Add the coefficients: \(1.27 + 0.25\) which equals \(1.52\).

Then, add the remaining like term:
\(1.52q + 0.75q\). Adding these coefficients gives \(2.27\).
So, the simplified expression is \(2.27q\).

Remember that combining like terms makes algebra problems easier to handle and more manageable.

In algebra, parentheses \(( )\) are used to group terms together. This can indicate which operations should be performed first based on the order of operations, also known as PEMDAS (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).

For the exercise: \((1.27q + 0.25q) + 0.75q\), the terms inside the parentheses, \(1.27q + 0.25q\), should be simplified first.
This is important in ensuring the correct and simplified expression.

Once simplified inside the parentheses:
\(1.27q + 0.25q = 1.52q\),
we can then proceed to add the remaining part of the expression.
Always remember to handle the operations within the parentheses first before moving to other parts of the expression.

Prealgebra is all about laying the foundation for understanding algebra, including operations on numbers and basic algebraic expressions. Here’s how you can approach simplifying expressions step-by-step:

• Identify like terms: Look for terms that share the same variable and exponent.
• Combine like terms: Add or subtract the coefficients of the like terms.
• Follow the order of operations: Prioritize operations inside parentheses before moving outside.

Let’s break it down with the exercise at hand:
1. Identify like terms in \((1.27q + 0.25q) + 0.75q\). All terms are like since they all have the variable \(q\).
2. Combine like terms inside the parentheses: \(1.27q + 0.25q \Rightarrow 1.52q\).
3. Simplify the expression: Add \(1.52q + 0.75q\) to get \(2.27q\).

Understanding and practicing these steps will give you a solid footing in prealgebra and preparing for more advanced topics.