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Combining Like Terms

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Combining Like Terms

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📚 Part 1: Multiple Choice

1. Simplify: 3x + 7x = _______

4x

10x

21x

3x + 7x

2. Check all that apply: Which pairs are like terms?

4x and -3x

2x and 2x²

5xy and 3yx

7 and -2

3. Simplify: 3x + 7 + 2x + 4 = _______

5x + 11

6x + 11

5x + 3

3x + 11

4. Simplify: 2x² + 3x + 4x² - x + 10 = _______

6x² + 2x + 10

8x² + 2x + 10

6x² + 4x + 10

2x² + 2x + 10

✏️ Part 2: Short Answers

5. Identify and group the like terms, then simplify: 4a + 7 - 3a + 2b
6. Simplify: -3y + 8y - 5
7. Simplify by combining like terms: 2x + 3xy - x + 4xy
8. Simplify: 6 - 2 + 3z - z
9. In one or two sentences, explain why only like terms can be combined. Use mathematical language (term, coefficient, variable, constant).

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