Like Terms Review
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Like Terms Review
📚 Part 1: Identifying Like Terms
Instructions: Circle or highlight the like terms in each expression using the same color for matching terms.
✏️ Part 2: Combining Like Terms
Instructions: Combine like terms to simplify each expression. Show your work in the space provided.
Simplified expression: _________________________
Simplified expression: _________________________
Simplified expression: _________________________
🎯 Part 3: Challenge Problems
Final answer: _________________________
Explain your reasoning:
📝 Answer Key
Explanation: Like terms must have the same variable(s) with the same exponents. 5y and 5z are not like terms because they have different variables.
Work: (7p + 4p) + (-2q - q) + 6 = 11p - 3q + 6
Work: (3x - 2x) + (-4 + 5 + 9) = x + 10
Work: (12y - 5y) + (8z + 3z) - 7 = 7y + 11z - 7
Explanation: Combine like terms: (6a - 2a) + (3b + 5b) = 4a + 8b
Work: (15x - 9x) + (8y + 3y) + (-12 + 5) = 6x + 11y - 7
Explanation: Simplifying 4x + 7y - 2x gives us (4x - 2x) + 7y = 2x + 7y, which is the same as the second expression.
Note: Many correct answers are possible as long as the expression has at least 6 terms and simplifies to 3a + 2b - 5.
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