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Simplifying Algebraic Expressions
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Simplifying Algebraic Expressions
📚 Part 1: Multiple Choice
1. Which is the simplified form of 3x + 4x - 2x?
5x
7x
8x
3x
2. Simplify 6a - 3a + 2b. Which choice is correct?
3a + 2b
9a + 2b
3a - 2b
6(a - 3) + 2b
3. Which expression cannot be simplified by combining like terms?
2x + 3y
4m - m
5p + 2p
7n - 3n
4. Check all that apply: Which of the following are already simplified?
3a + 2b
4y - y
5
x + x + x
✏️ Part 2: Short Answers
5. Simplify: 4x - x + 3y + 2x
6. Simplify: 2x - x + y - 3y + 5x
7. Fundraiser: Ice creams cost $x each, cookies cost $y each. A customer buys 3 ice creams and 2 cookies, then buys one more ice cream. Write and simplify the total cost expression.
8. Gardener: 2 rose plants at $x each and 3 lavender at $y each. Another rose plant is added. Write the simplified expression for the total cost.
9. Individual practice: Simplify 6x + 2y - x + 3y
⚡ Extension Challenge (Optional)
10. Use the distributive property then simplify: 2(x + 3) + 3(x - 2)
11. Challenge: Simplify fully: 6a + 4b - 3a + 2c - b
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