algebra

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