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AlgebraIf the price of an apple is given as
7 penceWhat is the price of apples?23a
If the price of an apple is given as
12 penceWhat is the price of apples?23a
If the price of an apple is given as
p penceWhat is the price of apples?23a
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?
Collection of like terms
Example
Simplify these algebraic expressions
a)
b)
c)
d)
e)
f)
bbb 23
dd 38
mmm 264
nnn 269
rrr 63
eee 84
Example
Simplify these algebraic expressions
(i) a + a + a
(ii) 3b + 2b - b
(iii) 15e – 8e + 6e
(iv) 4m + 6m – 2m
(v) 9n – 6n + 2n
(vi) 5y – 6y – 2y + y
Example
Simplify the following expressions
(i) 2x + 4 + 3x
(ii) 9 – 2x + 1
(iii) 5c + 2d – 3c + d
(iv) 5f – 3g -7f + 9g + 3f – 4g
(v) 7m – 2n + 6 – 5m + 7n + 3
(vi) 7h + 3k + 2 – 4k – 2h
(vii) 6p – 2q + 4r – 2p – 3q + r
(viii) 12h – 6i + 3h – 3i
Example
Simplify the following expressions
a)
b)
c)
d)
e)
f)
g)
h)
xx 342
xx 243
dcdc 325
gfgfgf 439735
abcba 2837
qpprqp 532426
8274 2 xxx
32845 22 xxxx
Example
Remove the brackets for each of the following and
simplify where possible
(i)
(ii)
(iii)
(iv)
(v)
523 x
532 x
347 x
ba 325
23 xx
Example
Remove the brackets and simplify each of the following:
(a)
(b)
(c)
(d)
(e)
(f)
yxyx 253432
yxyx 42524
yxyx 343534
accbba 3102524323
4343 xxx
mmm 34632