https://file.aiquickdraw.com/mathbot/file/17257951165488p48ptzu.jpg

I can see that the image contains exercises related to recognizing and simplifying like terms.

### Top Section:
#### Task: Recognize like terms
1. The exercise asks to tick pairs of like terms.
   - **Like terms** are those that have the same variables raised to the same power, even if their coefficients are different.
   
   The circled pairs are:
   - \(5x\) and \(-3x\): These are like terms because both involve \(x\).
   - \(2a\) and \(a\): These are like terms because both involve \(a\) (note: \(a\) is equivalent to \(1a\)).
   - \(4ab\) and \(3ba\): These are like terms because \(ab = ba\) (commutative property).

The uncircled pairs are not like terms because either their variables are different or their exponents do not match.

### Bottom Section:
#### Task: Simplify expressions using like terms
1. **Simplifying** involves combining the like terms.
   
   The given answers are:
   - \( 4c - 2d - 5c + 6d = 9c - 8d \): This correctly combines like terms for \(c\) and \(d\).
   - \( 2x^2 - 4x + 3 - 5x^2 + 4x - 2 = 7x^2 + 8x - 1 \): This correctly combines like terms for \(x^2\), \(x\), and the constant terms.

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Would you like further details or explanations on any part of this solution? Here are 5 related questions to think about:

1. How do we define like terms more formally?
2. Why are \(ab\) and \(ba\) considered like terms even though their order differs?
3. What happens if we try to combine terms that aren't like terms?
4. Can two constants (like \(5\) and \(7\)) be considered like terms?
5. How can we apply this process to equations instead of expressions?

**Tip:** Always focus on the variables and their exponents to identify like terms, as coefficients can vary.

I can recognise like terms and simplify expressions using like terms.

Learn how to recognize and simplify expressions using like terms. This problem involves combining terms with the same variables and coefficients, including examples of algebraic expressions suitable for students in Grades 6-8.

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