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Algebra: Expand and Simplify
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Algebra: Expand and Simplify
📚 Part 1: Multiple Choice
1. Expand: 2(x + 3)
2x + 3
2x + 6
x + 6
2x - 6
2. Simplify: 3x + 4x - 5
7x - 5
12x - 5
x - 5
7x + 5
3. Expand: -3(2x - 1)
-6x + 3
-6x - 3
6x - 3
-6x + 1
4. If a = 2, evaluate 3a^2 - a
10
8
14
4
✏️ Part 2: Expand, Simplify and Combine Like Terms
5. Expand and simplify: 4(x + 5) + 2x
6. Expand: (x + 3)(x - 2). Write your answer in simplest form.
7. Combine like terms: 5y - 2 + 3y + 7 = ________
8. Expand and simplify: -2(3p - 4) + 5
🔎 Part 3: Substitution & Application
9. Substitute x = -1 and evaluate: 2x^3 - x
10. A taxi charges a base fare of $3 plus $2 per kilometre.
(a) Write an expression for the fare for k kilometres.
(b) Find the fare for 7 km.
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