🧮 Topic Summary
In algebra, an expression is built from terms, which are separated by addition or subtraction. Each term can have a coefficient, which is the numerical part multiplying the variable. Identifying these components is key to simplifying and solving algebraic equations. Let's practice labeling these in different expressions!
🧪 Part A: Vocabulary
Match the following terms with their definitions:
- Term
- Coefficient
- Variable
- Constant
- Algebraic Expression
Definitions:
- A symbol (usually a letter) representing an unknown value.
- A number on its own.
- A mathematical phrase that can contain ordinary numbers, variables (like $x$ or $y$) and operators (like add,subtract,multiply, and divide).
- A single number or variable, or numbers and variables multiplied together.
- A number used to multiply a variable.
✍️ Part B: Fill in the Blanks
An ___________ expression consists of ___________ separated by addition or subtraction. The ___________ is the numerical part of a term, while the ___________ represents an unknown value. A ___________ is a term that does not contain any variables.
🤔 Part C: Critical Thinking
Explain in your own words why it's important to be able to identify coefficients and terms in algebraic expressions. Give an example of how this skill can help you solve a problem.