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Chapter 1: Problem 34

Identify each group of terms as like or unlike. $$ t, s $$

Short Answer

Expert verified
Unlike terms.

Step by step solution

01

Identify Variables

First, recognize the variables in each term. Here, the terms are 't' and 's'.
02

Compare Variables

Compare the variables identified. If the variables are exactly the same, they are like terms. If they are different, they are unlike terms.
03

Determine If Like or Unlike

In this case, 't' and 's' are different variables. Therefore, the terms are unlike terms.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

identifying variables
To start working with algebraic terms, you must first learn to identify the variables. A variable is a symbol, often a letter, used to represent a number in equations and expressions. For example, in the given terms, 't' and 's', 't' and 's' are variables. They can stand for any number, but they are not the same variable. Recognizing and naming these variables is the first step in understanding and solving algebraic problems.
While identifying variables, look for letters or symbols that appear in each term. Each variable represents a unique value which can change based on the conditions of the problem.
comparing variables
Once the variables are identified, the next step is to compare them. This involves looking at the variables to check if they are the same or different. In our example, the variables are 't' and 's'. Comparing these, we see they are different. They are represented by different letters and hence, stand for different values.
If two terms have the same variables, they are called like terms. If the variables differ, the terms are unlike terms. Here, since 't' is not the same as 's', they are unlike terms.
Comparing variables helps in simplifying and solving algebraic expressions. It is crucial for combining like terms and making the algebraic expression more manageable.
terms in algebra
Terms are the building blocks of algebraic expressions. A term can be a number, a variable, or a combination of both. For our example, 't' and 's' are the terms.
To understand if the terms are like or unlike, we need to analyze the variables in these terms. Like terms have identical variables, even if their coefficients (numbers in front of the variables) are different. Unlike terms have different variables. This distinction helps in organizing and simplifying algebraic expressions.
Let's summarize:
  • 't' and 's' are the terms.
  • Comparing their variables, we see 't' is different from 's'.
  • Since the variables are different, 't' and 's' are unlike terms.
Understanding terms and identifying like or unlike terms is essential for successfully solving algebra problems.

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