solving simple equations expanding brackets
TRANSCRIPT
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, 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
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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