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How Do You Identify Like Terms in Algebraic Expressions?

Identifying like terms in algebraic expressions is pretty simple once you understand it. Here’s how I do it:

  1. Check the Variables: Like terms have the same variable(s) raised to the same power. For example, in 3x2+5x23x^2 + 5x^2, both parts have the variable xx raised to the second power. So, they are like terms.

  2. Look at the Numbers in Front: The numbers in front of the variables are called coefficients. They can be different. For instance, 4y4y and 2y-2y are like terms because both have yy as their variable.

  3. Forget About the Standalone Numbers: Numbers by themselves (we call these constants) can also be combined. So, in 5+35 + 3, both are constants and can be treated as like terms.

  4. Putting Like Terms Together: Once you find the like terms, you can combine them by adding or subtracting the coefficients. For example, 2a+3a=5a2a + 3a = 5a.

By organizing terms this way, algebra becomes much easier! Just remember to match the variables and their powers. This skill is super helpful for simplifying expressions and solving equations, which is a big part of math in Year 9.

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How Do You Identify Like Terms in Algebraic Expressions?

Identifying like terms in algebraic expressions is pretty simple once you understand it. Here’s how I do it:

  1. Check the Variables: Like terms have the same variable(s) raised to the same power. For example, in 3x2+5x23x^2 + 5x^2, both parts have the variable xx raised to the second power. So, they are like terms.

  2. Look at the Numbers in Front: The numbers in front of the variables are called coefficients. They can be different. For instance, 4y4y and 2y-2y are like terms because both have yy as their variable.

  3. Forget About the Standalone Numbers: Numbers by themselves (we call these constants) can also be combined. So, in 5+35 + 3, both are constants and can be treated as like terms.

  4. Putting Like Terms Together: Once you find the like terms, you can combine them by adding or subtracting the coefficients. For example, 2a+3a=5a2a + 3a = 5a.

By organizing terms this way, algebra becomes much easier! Just remember to match the variables and their powers. This skill is super helpful for simplifying expressions and solving equations, which is a big part of math in Year 9.

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