solving simple equations expanding brackets

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Simplifying Expressions Simplify the following: a) π‘₯ + π‘₯

b) 3𝑏 + 4𝑏

c) 2π‘Ž + 3𝑏 + 4π‘Ž + 6𝑏

d) 9𝑠 + 5𝑑 βˆ’ 4𝑠 βˆ’ 7𝑑

e) π‘Ž  Γ—  π‘Ž  Γ—  π‘Ž  Γ—  π‘Ž

f) 5  Γ—  π‘  Γ—  π‘

g) 4𝑑  Γ—  5𝑑

h) π‘Ž  Γ—  π‘

i) 6π‘š  Γ—  5𝑛

Solving Simple Equations Solve:

a) π‘₯ + 3 = 7

b) 𝑑 βˆ’ 2 = 10

c) 15 = 𝑏 + 10

d) 4𝑐 = 40

e) !!= 10

f) π‘₯! = 100

Expanding brackets Expand: a) 5(𝑑 + 2) b) 6(𝑐 βˆ’ 4) c) 𝑐(𝑐 + 4) d) π‘Ž(𝑏 + 𝑐) e) π‘š(𝑛 + 𝑝 βˆ’ π‘ž) f) 5𝑑(4𝑑 + 3𝑒) g) (π‘₯ + 5)(π‘₯ + 3)

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Solving Equations (tougher!) Solve: a) 3𝑑 + 4 = 19 b) 5π‘₯ βˆ’ 2 = 43 c) 4𝑝 βˆ’ 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, 24, …

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

π‘Ž = 4, 𝑏 = 10, 𝑐 = 6  and  π‘‘ =  βˆ’2

Use the above to work out the following:

i) 4𝑏

ii) 3π‘Ž + 6

iii) 5𝑐 βˆ’ 8

iv) π‘Ž! + 𝑐

v) !!

vi) 𝑐𝑑 + 𝑏

vii) !"#!!

Β© teemaths.com

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