📚 Topic Summary
In algebra, "like terms" are terms that have the same variable raised to the same power. Combining like terms involves adding or subtracting the coefficients (the numbers in front of the variables) of these terms to simplify an expression. This makes the expression easier to work with and understand. For example, in the expression $3x + 2y + 5x - y$, the terms $3x$ and $5x$ are like terms, and the terms $2y$ and $-y$ are like terms. Combining them simplifies the expression to $8x + y$.
🔤 Part A: Vocabulary
Match the term with its definition:
| Term |
Definition |
| 1. Coefficient |
A. Terms that have the same variable raised to the same power. |
| 2. Variable |
B. A symbol (usually a letter) representing an unknown value. |
| 3. Constant |
C. A term without a variable; its value does not change. |
| 4. Like Terms |
D. The numerical factor of a term containing variables. |
| 5. Expression |
E. A mathematical phrase that can contain ordinary numbers, variables, and operators. |
✍️ Part B: Fill in the Blanks
Combining like terms simplifies algebraic _____________. Like terms have the same ___________ raised to the same ___________. When combining like terms, we add or subtract the _____________. For example, in the expression $2x + 3x$, we combine the coefficients 2 and 3 to get ___________. Simplifying expressions makes them easier to __________ and __________ with.
🤔 Part C: Critical Thinking
Explain why it's important to combine like terms in algebraic expressions. Give a real-world example of where this skill might be useful.