Algebraic from

1. ALGEBRAIC FORMALGEBRAIC 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 , 3aThe symbol a in 2a , 3a
2 2
or a is called variableor a is called variable
•And 2a, 3aAnd 2a, 3a
22
and a is called algebraic form and a is called algebraic form
EXAMPLE
Algebraic with variables a are 3a
2
+ a – 2a
Algebraic with variables b are b
2
+ 2b
3
+ 5b
Algebraic with many variables are x + 5y – 2a -3b
Has 3 terms
Has 3 terms
Has 4 terms
4a
3
+3a
2
+9a + 6
4a
3
, 3a
2
, 9a and 6 are called a term
notice
2a , 3b
2
is called one term
2a – 3q is called binomial
3b +2x – p is called trinomial
Binomial ,trinomial, and soon is called polynomial

3. Simple formSimple form
6 x a = 6a6 x a = 6a
a x a x a x a= aa x a x a x a= a
44
4a
3
+3a
2
+9a + 6
4a
3
, 3a
2
, 9a and 6 are called a term
4 is called the coefficient of a
3
3 is called the coefficient of a
2
9 is called the coefficient of a
6 is called constant

ATTENTION

4. •Like termLike term
•2a, a ,3a is called like term2a, a ,3a is called like term
• xx
22
, 3x , 3x
22
, 5x , 5x
2 2
is called like termis called like term
• aa
22
, 2a, 3a , 2a, 3a
22
is called unlike term is called unlike term
•x , 3b , 2y is called unlike termx , 3b , 2y is called unlike term
Which is like term the following expression ?
a). 2x,3x,5x
b). a
2
, -4a , 6a
c). a ,x ,b ,y
d). a , a
2
,8a
2

5. EXERCISEEXERCISE
1MENTION COEFFICIENT OF P

a). -3p
2
+ 2p
b). 4p
3
-5p
c). P
2
- 4p
3
+ 5pq – 11p
d). ap - 5p
3
+ 23p
2 Write down the following like term of algebraic form
a). 7x + 2y – 9x
b). 4a – 5ab + 7a
2
+ 16ab + 8a
c). 5p
2
+ 4p + 3 +3p -5p - 7
d). 3m
2
n + 4mn – m
2
n
2
-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 1Example 1
•Simplify the following algebraic formSimplify the following algebraic form
1) 8a + 4a
3). 5x + 7y- 3x- 2y
12a
2).7a + 5b- 2a 5a +5b
2x + 5y
4).15 + 3( x -2 )153x-6
3x + 9
+

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

9. •Example Example
•SubtractSubtract
• 1). 2a – 5 from 8a + 41). 2a – 5 from 8a + 4
• 2). 4x2). 4x
2 2
+ 2x -7 from x+ 2x -7 from x
22
+ 3x + 2 + 3x + 2
8a + 4
8a+ 4- 2a+ 5
6a + 9
•1). 2a – 5 from 8a + 4(2a - 5) -
8a+4-2a+5

10. •2). 4x
2
+ 2x - 7 from x
2
+ 3x + 2x
2
+ 3x + 2(4x
2
+ 2x – 7)
-
+ 3xx
2
+ 2- 4x
2- 2x+ 7
- 3x
2
+ x + 9
X
2
+ 3x + 2 - 4x
2
- 2x + 7

11. SUBTITUTIONSUBTITUTION
•EXAMPLE 1EXAMPLE 1
•IF k=4 determine value ofIF k=4 determine value of
•3k + 83k + 8
answer
3k + 8 3 x 4 + 8=
=
12+ 8
=20

12. Example 2Example 2
•If p=2 and q = -7 If p=2 and q = -7
•Determine value of (2pq – q )Determine value of (2pq – q )
22
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 LCMHCF AND LCM
•DETERMINE LCM AND HCF FROM THE DETERMINE LCM AND HCF FROM THE
FOLLOWING ALGEBRAIC PORM 1 . FOLLOWING ALGEBRAIC PORM 1 .
• 3p and 6p3p and 6p
33
•2 . 15pq2 . 15pq
33
and 18qr and 18qr
•3 . 6xy3 . 6xy
22
, 4x , 4x
22
y ,and 8xyzy ,and 8xyz

14. solutionsolution