Combining like terms is a fundamental skill in algebra. It involves simplifying expressions by adding or subtracting terms that have the same variable raised to the same power. For example, $3x + 2x$ can be combined to $5x$ because both terms have the variable 'x' raised to the power of 1. However, $3x + 2y$ cannot be combined because 'x' and 'y' are different variables. Similarly, $3x + 2x^2$ cannot be combined because the exponents of 'x' are different.
When combining like terms, pay close attention to the coefficients (the numbers in front of the variables) and the signs (+ or -) of each term. Remember, you can only combine terms that are truly alike!
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 representing an unknown value |
| 3. Constant | C. A term without a variable |
| 4. Like Terms | D. The number multiplied by a variable |
| 5. Expression | E. A combination of variables, numbers, and operations |
(Match the numbers 1-5 with the letters A-E)
Complete the following paragraph using the words: like, terms, coefficient, variable, constant.
To combine ______ ______, you must identify ______ with the same ______ raised to the same power. The number in front of the variable is called the ______. A ______ is a number that stands alone.
Explain, in your own words, why it's important to understand how to combine like terms in algebra. Give an example of a real-world situation where this skill might be useful.
Please log in to post your answer.
Log InEarn 2 Points for answering. If your answer is selected as the best, you'll get +20 Points! 🚀