Like terms

• What are like terms in an algebraic expression?

  Like terms are terms that have the same variables raised to the same powers.
• What is allowed in like terms regarding coefficients?

  Different coefficients are allowed in like terms.
• Give an example of like terms.

  3x and 5x are like terms.
• Why are 2x and 2x² not considered like terms?

  Because they have different exponents.
• What are the key points to identify like terms?

  Like terms must have the same variables and the same exponents.
• How do you identify like terms in an expression?

  1. Look for terms with the same variables. 2. Ensure these variables have the same exponents. 3. Remember that the coefficients can be different.
• In the expression 3x² + 2xy - 5x² + 7xy, which terms are like terms?

  3x² and -5x² are like terms, and 2xy and 7xy are like terms.
• What is the process of combining like terms?

  Combining like terms involves adding or subtracting the coefficients of like terms while keeping the variable part the same.
• What are the steps to combine like terms?

  1. Identify the like terms. 2. Add or subtract their coefficients. 3. Keep the variable part unchanged.
• What is the result of combining 3x and 5x?

  8x
• If you combine 4y and -2y, what do you get?

  2y
• How do you simplify expressions with like terms?

  1. Identify all like terms in the expression. 2. Combine each set of like terms. 3. Write the simplified expression with unlike terms.
• Simplify the expression: 3x² + 2x - 5x² + 7x + 1.

  -2x² + 9x + 1
• What is the simplified result of the expression 5y + 2y² - 3y + 4y²?

  6y² + 2y
• Simplify the expression: 3x - 2x² + 4x + 5x².

  3x² + 7x
• What is the importance of identifying and combining like terms?

  - It simplifies algebraic expressions. - It helps in solving equations. - It makes complex expressions easier to work with.