The document defines key terms related to algebraic forms, including: - Algebraic form, term, variable, coefficient, like term, unlike term It provides examples of algebraic expressions and their terms. Operations covered include addition, subtraction, simplification of algebraic expressions, substitution, and finding the lowest common multiple and highest common factor of algebraic expressions.

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