What is the main idea behind collecting like terms?
Collecting like terms is a way to simplify an algebraic expression. It involves the combining of all terms that have the same variable and/or exponent. It makes equations easier to solve.
Collecting Like Terms
algebraic expression: A mathematical phrase that combines numbers and/or variables using mathematical operations such as addition, subtraction, multiplication, and division. variable: A symbol that represents a value that can change. exponent: A number or symbol that is placed above and to the right of a mathematical expression to indicate the number of times the expression is used as a factor.
What do you think is the most important thing to remember when collecting like terms?
- Keep track of the signs of each term.
- Identify the common factors in each term.
- Break down terms into simpler terms.
- Look for patterns in the terms.
The term 'like terms' was first used in 1637 by French mathematician Claude Gaspard Bachet de Méziriac. Collecting like terms can be applied to any algebraic expression, no matter how complex. Collecting like terms is used in many areas outside of mathematics, such as physics, engineering, and economics.
Draw / write: What are some examples of like terms?
Draw / write: How can you identify like terms in an equation?
How do you think understanding like terms can help you in other math topics?
What strategies can you use to identify like terms in an equation?