Simplifying Expressions Simplify the following: a) 𝑥 + 𝑥

b) 3𝑏 + 4𝑏

c) 2𝑎 + 3𝑏 + 4𝑎 + 6𝑏

d) 9𝑠 + 5𝑡 − 4𝑠 − 7𝑡

e) 𝑎  ×  𝑎  ×  𝑎  ×  𝑎

f) 5  ×  𝑐  ×  𝑐

g) 4𝑡  ×  5𝑡

h) 𝑎  ×  𝑏

i) 6𝑚  ×  5𝑛

Solving Simple Equations Solve:

a) 𝑥 + 3 = 7

b) 𝑡 − 2 = 10

c) 15 = 𝑏 + 10

d) 4𝑐 = 40

e) !!= 10

f) 𝑥! = 100

Expanding brackets Expand: a) 5(𝑡 + 2) b) 6(𝑐 − 4) c) 𝑐(𝑐 + 4) d) 𝑎(𝑏 + 𝑐) e) 𝑚(𝑛 + 𝑝 − 𝑞) f) 5𝑡(4𝑡 + 3𝑢) g) (𝑥 + 5)(𝑥 + 3)

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Solving Equations (tougher!) Solve: a) 3𝑡 + 4 = 19 b) 5𝑥 − 2 = 43 c) 4𝑝 − 3 = 2𝑝 + 9 d) 7 𝑙 + 4 = 42

Sequences

Find the nth term of the following sequences:

a) 8, 11, 14, 17, …

b) 4, 9, 14, 19, …

c) 7, 14, 21, 28, …

d) 100, 90, 80, 70, …

Work out the first 4 terms of the sequence:

i) 5n + 2

ii) 7 – 2n

iii) n2 + 3

Substitution

𝑎 = 4, 𝑏 = 10, 𝑐 = 6  and  𝑑 =  −2

Use the above to work out the following:

i) 4𝑏

ii) 3𝑎 + 6

iii) 5𝑐 − 8

iv) 𝑎! + 𝑐

v) !!

vi) 𝑐𝑑 + 𝑏

vii) !"#!!

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