Algebra

1. Algebra If the price of an apple is given as 7 pence a 3 2 What is the price of apples?

2. If the price of an apple is given as 12 pence a 3 2 What is the price of apples?

3. If the price of an apple is given as p pence a 3 2 What is the price of apples?

4. If the price of an apple is given as a pence If the price of a banana is given as b pence What is the price of 3 apples and 4 bananas?

5. Collection of like terms Example Simplify these algebraic expressions a) b) c) d) e) f)

6. Example • Simplify these algebraic expressions • (i) a + a + a • 3b + 2b - b • 15e – 8e + 6e • 4m + 6m – 2m • 9n – 6n + 2n • 5y – 6y – 2y + y

7. Example • Simplify the following expressions • 2x + 4 + 3x • 9 – 2x + 1 • 5c + 2d – 3c + d • 5f – 3g -7f + 9g + 3f – 4g • 7m – 2n + 6 – 5m + 7n + 3 • 7h + 3k + 2 – 4k – 2h • 6p – 2q + 4r – 2p – 3q + r • 12h – 6i + 3h – 3i

8. Example Simplify the following expressions a) b) c) d) e) f) g) h)

9. Example Remove the brackets for each of the following and simplify where possible (i) (ii) (iii) (iv) (v)

10. Example Remove the brackets and simplify each of the following: (a) (b) (c) (d) (e) (f)