๐ Topic Summary
Simplifying expressions means making them shorter and easier to understand. We do this by combining like terms. Like terms are terms that have the same variable raised to the same power. For example, $3x$ and $5x$ are like terms, but $3x$ and $5x^2$ are not. We can combine like terms by adding or subtracting their coefficients (the numbers in front of the variables). Simplifying expressions is a key skill for solving equations and working with more advanced math concepts. Think of it as cleaning up a messy room โ you're organizing things to make them neater and easier to see!
To simplify expressions, we also use the distributive property. The distributive property allows us to multiply a number by a sum or difference inside parentheses. For example, $2(x + 3)$ can be simplified to $2x + 6$.
๐ง Part A: Vocabulary
Match the term with its definition:
| Term |
Definition |
| 1. Variable |
A. A number on its own |
| 2. Coefficient |
B. Parts of an expression separated by + or - signs |
| 3. Constant |
C. A symbol (usually a letter) that represents an unknown value |
| 4. Term |
D. To reduce an expression to its simplest form |
| 5. Simplify |
E. A number multiplied by a variable |
โ๏ธ Part B: Fill in the Blanks
Complete the following paragraph with the correct terms:
When simplifying expressions, we combine _______ _______. These are terms that have the same _______ raised to the same _______. The number in front of the variable is called the _______. Using the _______ property helps to remove parenthesis by multiplying each term inside.
๐ค Part C: Critical Thinking
Explain in your own words why it's important to simplify expressions. Give an example of a real-world situation where simplifying expressions could be helpful.