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Simplifying Algebraic Expressions
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Simplifying Algebraic Expressions
📚 Part 1: Multiple Choice
1. Simplify: 3x + 5x − 2
6x − 2
8x − 2
15x − 2
3x + 3
2. Which expression is equivalent to 2(a + 4)?
2a + 4
2a + 8
a + 8
4a + 8
3. Simplify: 5y − 3y + 2
2y + 2
8y + 2
5y − 1
2y − 2
4. Check all that apply: Which are like terms?
4x
−3x
2y
5
x²
✏️ Part 2: Short Answers and Working
5. Simplify fully. Show your working: 4(x + 3) + 2x − 5
6. Simplify: 3(2x + 5) − 4(x − 1) + 6
7. Expand and simplify: −2(3a − 4) + 5a
8. A gardening pack costs $7 per plant. Write an expression for the total cost of p plants with a $10 discount, then evaluate for p = 4.
9. Combine like terms and simplify: 6m + 3n − 2m + 5 − n
10. In one sentence, explain how you decide which terms can be combined.
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