➕ Topic Summary
In algebra, like terms are terms that have the same variables raised to the same powers. Only the numerical coefficients are different. Identifying and combining like terms is a fundamental skill that simplifies expressions and equations, making them easier to solve. For example, $3x$ and $-5x$ are like terms because they both have the variable $x$ raised to the power of 1. Similarly, $2y^2$ and $7y^2$ are like terms because they both contain $y^2$.
Combining like terms involves adding or subtracting their coefficients while keeping the variable part the same. For instance, $3x + (-5x) = -2x$. Mastering this skill is essential for success in algebra and beyond.
🔤 Part A: Vocabulary
Match each term with its definition:
| Term |
Definition |
| 1. Coefficient |
A. Terms that have the same variables raised to the same powers. |
| 2. Variable |
B. A symbol (usually a letter) representing an unknown value. |
| 3. Constant |
C. A term without any variables. |
| 4. Like Terms |
D. The numerical factor of a term containing variables. |
| 5. Term |
E. A single number or variable, or numbers and variables multiplied together. |
Match the term to its definition by writing the corresponding letter (A-E) next to the number (1-5).
✍️ Part B: Fill in the Blanks
Complete the following paragraph using the words provided below:
Words: like terms, coefficients, variables, constant, expression
An algebraic ___________ is made up of terms. ___________ have the same ___________ raised to the same powers. The numbers in front of the variables are called ___________. A ___________ is a term that doesn't have any variables.
🤔 Part C: Critical Thinking
Explain, in your own words, why it is important to be able to identify and combine like terms in algebraic expressions. Give an example to support your explanation.