https://file.aiquickdraw.com/mathbot/file/1727112922197b5wdjknd.jpg

Let's go through the worksheet based on the image provided. Here's how to answer each section:

### 1. **Fill in the blanks**
- **Expression**: A mathematical phrase that can contain **terms** (like addition and subtraction).
- **Term**: An expression does **not** have an equal sign. A term is a **number** or a **variable** in an expression. Separated by **addition** and **subtraction** signs.
   - Ex: \(4d\), \(-9\)
- **Coefficient**: The number in front of a **variable**.
- **Like Terms**: Must have both the same base (or **variable**) and the same exponent (or **power**).

### 2. **Label the various parts of the expression below:**
- Expression: \(4d - 9\)
   - The first part "4d" is the **term**.
   - The number "4" is the **coefficient**.
   - The second part "-9" is another **term**.
   - These are **unlike terms** because they don't have the same variable.

### 3. **Answer the questions at the bottom**
- **1. Give an example of an expression with three terms.**
   - Example: \(3x + 4y - 7\)

- **2. List all the terms in the expression below:**
   - Expression: \(8c - 5 + 4c^2 + 2b\)
   - Terms: \(8c\), \(-5\), \(4c^2\), \(2b\)

- **3. Circle the coefficients in the expression below:**
   - Expression: \(5g + 7h - 4 - 2g\)
   - Coefficients: \(5\), \(7\), \(-2\) (Note that \(4\) is a constant, not a coefficient)

- **4. Give an example of a like term for each of the following:**
   - \(a. -50\): Like term could be \(-30\) (since both are constants).
   - \(b. 3b\): Like term could be \(7b\) (since both have the variable \(b\)).
   - \(c. -5a\): Like term could be \(10a\) (since both have the variable \(a\)).
   - \(d. x^2\): Like term could be \(2x^2\) (since both have the variable \(x^2\)).

Would you like any more details or clarification?

Here are 5 related questions:
1. How do you combine like terms in an algebraic expression?
2. Can you explain the difference between a coefficient and a constant?
3. What happens when you combine terms that are not like terms?
4. Can a variable have a coefficient of 1, and how is it written?
5. Why is it important to recognize like terms when simplifying expressions?

**Tip**: Always group like terms together before performing any operations in an algebraic expression.

Learn how to simplify algebraic expressions by identifying terms, coefficients, and like terms. This worksheet covers key concepts in algebra, including how to differentiate between terms and combine like terms. Suitable for students in Grades 6-8.

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