Скачать или смотреть Identifying and combining like terms

*CORE CONCEPT:*
Identifying and combining like terms involves recognizing terms with the same variable and exponent to simplify algebraic expressions effectively.

*TOPICS COVERED:*
When to use identifying like terms in expressions (B1)
How to use grouping like terms to simplify expressions (B1)
How to use adding and subtracting coefficients of like terms (B1)

*EXAMPLE SENTENCES:*
Example 1: 3x + 5x = (3 + 5)x = 8x
Example 2: 2a - 4a + 7 = (2 - 4)a + 7 = -2a + 7
Example 3: 6xy + 3x - 2xy + 4x = (6xy - 2xy) + (3x + 4x) = 4xy + 7x

*GRAMMAR RULES:*
Step 1 → Identify all the terms in the expression.
Step 2 → Group the like terms together.
Step 3 → Add or subtract the coefficients of the like terms.

*COMMON ERRORS:*
Wrong: 4x + 2y = 6xy → Right: 4x + 2y = 4x + 2y (Different variables cannot be combined)
Wrong: 5a + 3b = 8ab → Right: 5a + 3b = 5a + 3b (Different terms remain separate)
Wrong: 2x + 2x - 3 = 4x - 3 → Right: 2x + 2x - 3 = (2 + 2)x - 3 = 4x - 3 (Missing coefficient addition step)

*STUDENT QUESTIONS:*
How do I identify like terms?
When should I combine like terms?
Is 3x + 4x = 7x correct?
What's the difference between like terms and unlike terms?
How do I simplify expressions with like terms?

*KEY CONCEPTS:*
Identifying like terms, combining like terms, simplifying expressions, B1 level, algebraic expressions.