📚 Topic Summary
Simplifying algebraic expressions involves combining terms that are alike. Like terms are those that have the same variable raised to the same power. For example, $3x$ and $5x$ are like terms because they both have the variable $x$ raised to the power of 1. To simplify, you add or subtract the coefficients (the numbers in front of the variable) of the like terms. Constant terms (numbers without variables) can also be combined.
The main goal is to write the expression in its most compact form without changing its value. This makes it easier to solve equations and work with algebraic relationships. By mastering this, you'll build a strong foundation for more complex algebra!
🧠 Part A: Vocabulary
Match the term with its definition:
| Term |
Definition |
| 1. Variable |
A. A term without any variables |
| 2. Coefficient |
B. A symbol representing an unknown value |
| 3. Constant |
C. Terms that have the same variable raised to the same power |
| 4. Like Terms |
D. The number multiplied by the variable |
| 5. Expression |
E. A combination of variables, numbers, and operations |
Match the numbers on the left with the letters on the right.
✍️ Part B: Fill in the Blanks
Complete the following paragraph with the correct words:
To simplify algebraic expressions, we combine _______ _______. These terms have the same _______ raised to the same _______. For example, in the expression $2x + 3y + 5x$, the like terms are _______ and _______. After combining like terms, the simplified expression is _______ .
🤔 Part C: Critical Thinking
Explain in your own words why it is important to simplify algebraic expressions. Give at least two reasons.