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Algebra: Expand and Simplify

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Algebra: Expand and Simplify

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📚 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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