1. ALGEBRAIC FORM
KEY WORD
Algebraic form is “ bentuk aljabar “
Term
is
“suku “
Like term is “ suku sejenis “
Variable is “ peubah “
Coefficient is “ bilangan didepan variabel”

2. • The symbol a in 2a , 3a2 or a is called variable
• And 2a, 3a2 and a is called algebraic form
EXAMPLE
Algebraic with variables a are 3a2 + a – 2a
Has 3 terms
Algebraic with variables b are b2 + 2b3 + 5b
Has 3 terms
Algebraic with many variables are x + 5y – 2a -3b
Has 4 terms
4a3 +3a2 +9a + 6
4a3 , 3a2, 9a and 6 are called a term
notice
2a , 3b2 is called one term
2a – 3q is called binomial
3b +2x – p is called trinomial
Binomial ,trinomial, and soon is called polynomial

3. Simple form
6 x a = 6a
a x a x a x a= a4
ATTENTION
4a3 +3a2 +9a + 6
4a3 , 3a2 , 9a and 6 are called a term
4 is called the coefficient of a3
3 is called the coefficient of a2
9 is called the coefficient of a
6 is called constant

4. • Like term
• 2a, a ,3a is called like term
• x2 , 3x2 , 5x2 is called like term
• a2 , 2a, 3a2 is called unlike term
• x , 3b , 2y is called unlike term
Which is like term the following expression ?
a). 2x,3x,5x
b).
a2, -4a , 6a
c).
a ,x ,b ,y
d).
a , a2,8a2

5. EXERCISE
1 MENTION COEFFICIENT OF P
a).
b).
c).
d).
-3p2 + 2p
4p3 -5p
P2 - 4p3 + 5pq – 11p
ap - 5p3 + 23p
2 Write down the following like term of algebraic form
a).
b).
c).
d).
7x + 2y – 9x
4a – 5ab + 7a2 + 16ab + 8a
5p2 + 4p + 3 +3p -5p - 7
3m2n + 4mn – m2 n2 -8mn

6. 1. a) 2
b). -5
c) 5 and -11 d) a and 23
2. a) 7x and -9x
b) 4a and 8a ; -5ab and 16ab
c). 4p,3p and -5p ; 3 and -7
d) . 4mn and -8mn

7. • Example 1
• Simplify the following algebraic form
1) 8a + 4a
12a
2).7a + 5b - 2a
5a +5b
3). 5x + 7y - 3x - 2y
2x + 5y
4).15 + 3( x -2 )
15 + 3x -6
3x + 9

8. EXAMPLE 2
DETERMINE ADDITION OF
1) -x2 + 5xy and 4x2 - 4xy
2).3p - 4a and 2a + p
S0LUTION
1) –X2 + 5xy + 4x2 - 4xy
- x2 + 5XY + 4X2 - 4XY
3x2 + xy
2) . 3p – 4a + 2a + p
3p -4a +2a + p
4p - 2a

9. • Example
• Subtract
• 1). 2a – 5 from 8a + 4
• 2). 4x2 + 2x -7 from x2 + 3x + 2
•1).(2a – 5 from 8a + 4
2a - 5)
8a + 4 - 2a + 5
8a +4 -2a +5
6a + 9

10. •2). (4x2 + 2x – 7 from x2 + 3x + 2
4x
- 7)
X2 + 3x + 2 - 4x2 - 2x + 7
x2 + 3x + 2 - 4x2 - 2x + 7
- 3x2 + x + 9

11. SUBTITUTION
• EXAMPLE 1
• IF k=4 determine value of
• 3k + 8
answer
3k + 8
=
=
=
3x4+8
12 + 8
20

12. Example 2
• If p=2 and q = -7
• Determine value of (2pq – q )2
solution
( 2pq – q ) 2 = ( 2 x 2 – 7 ) x ( 2 x 2 - 7 )
= (4 – 7) X (4 – 7)
= -3 x ( -3 )
= 9

13. HCF AND LCM
• DETERMINE LCM AND HCF FROM THE
FOLLOWING ALGEBRAIC PORM 1 .
• 3p and 6p3
• 2 . 15pq3 and 18qr
• 3 . 6xy2 , 4x2y ,and 8xyz

14. solution