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state whether a given pair of terms is of like or unlike terms . 1 ,100 ;_7x, 5/2x ;_29x ,_29y
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state whether a given pair of terms is of like or unlike terms . 1 ,...
Understanding Like and Unlike Terms
In algebra, terms are classified as "like" or "unlike" based on their variables and coefficients. Let's analyze the given pairs to determine their classifications.
Pair 1: 1, 100
- Both terms are constants with no variable attached.
- Since they do not have any variable components, they are considered like terms.
Pair 2: -7x, 5/2x
- Both terms contain the variable "x."
- The coefficients (-7 and 5/2) differ, but as they share the same variable, they are classified as like terms.
Pair 3: -29x, -29y
- Here, we see two different variables: "x" and "y."
- Despite having the same coefficients (-29), the presence of different variables means these terms are unlike terms.
Summary
- Like Terms: Terms that have the same variable raised to the same power (e.g., 1 and 100; -7x and 5/2x).
- Unlike Terms: Terms that have different variables or different powers (e.g., -29x and -29y).
Understanding the difference between like and unlike terms is crucial for simplifying algebraic expressions and performing operations such as addition and subtraction.
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state whether a given pair of terms is of like or unlike terms . 1 ,100 ;_7x, 5/2x ;_29x ,_29y Related: NCERT Solutions: Algebraic Expressions- 1?
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