1. MATHEMATICS FORM 2 CHAPTER 3
ALGEBRAIC EXPRESSIONS II
By : Pn Rosmawati bt Mat Yusop

2. SIMPLIFY ALGEBRAIC EXPRESSIONS BY GROUPING LIKE TERMS
EXAMPLE:
7pq + 5 – 2pq + 3
= 7pq – 2pq
= 5pq + 8
2. 2xy – 5pqr + 4yx – 3pqr
= 2xy + 4yx – 5pqr – 3pqr
= 6xy – 8pqr
an algebraic expression
Susun semula mengikut
sebutan yg serupa (unknown sama).
Tanda di depan setiap sebutan
dibawa sekali semasa menyusun
semula.
Kira macam biasa

3. 3.

4. DO EXERCISES IN GIVEN WORKSHEET PAGE 1

5. MULTIPLY AND DIVIDE ALGEBRAIC EXPRESSIONS BY A NUMBER
Multiply an algebraic expression by a number.
EXAMPLE:
4(2p + 3)
= 4x2p + 4x3
= 8p + 12
an algebraic expression
a number
Darabkan nombor dengan setiap sebutan dalam kurungan
4x2p + 4x3 boleh juga ditulis:
4(2p) + 4(3) ->tanda darab ditukarkan dgn kurungan

6. 2. -2(3x – 2y + 5)
= -2 x 3x -
(-2 x 2y) +
(-2 x 5)
= -6x -
(-4y) +
(-10)
= -6x + 4y - 10

7. 3.

8. Divide an algebraic expression by a number.
EXAMPLE:
(4y - 6) ÷ 2
= 4y – 6 2
= 4y - 6
= 2y - 3
Divide an algebraic expression by a number.
an algebraic expression
a number
Tukarkan kepada bentuk pecahan
Bahagikan setiap sebutan dengan 2

9. 2. (-4w – 12v) ÷ (-4) = -4w – 12 v -4 = - 4w - 12v -4 -4 = w – (-3v) = w + 3v

10. 3. (4xy2 - 6yz) ÷ (-8) = 4xy2 - 6yz -8 -8 = - xy2 - (-3yz) 2 4 = - xy2 + 3yz 2 4

11. DO EXERCISES IN GIVEN WORKSHEET PAGE 2

12. ADDITION AND SUBTRACTION INVOLVING TWO ALGEBRAIC EXPRESSIONS
To add two algebraic expressions.
EXAMPLE:
(2ab – 3) + (ab + 1)
= 2ab – 3 + ab + 1
= 2ab + ab – 3 + 1
2nd algebraic expression
1st algebraic expression
Buangkan kurungan
Susun semula mengikut
sebutan yg serupa (unknown sama).
= 3ab
- 2

13. 2. (4pq – 3qr) + (2qp - 5qr) = 4pq – 3qr = 4pq – 3qr + 2qp
= 4pq + 2qp – 3qr – 5qr
= 6pq
Buangkan kurungan
+ 2qp
+(-5qr)
- 5qr
Susun semula mengikut
sebutan yg serupa (unknown sama).
- 8qr

14. 3. (ab +3pqr) +(2pqr – 7ab + cd) = ab + 3pqr + 2pqr +(-7ab) +(+cd) = ab + 3pqr + 2pqr – 7ab + cd = ab – 7ab + 3pqr + 2pqr + cd = -6ab + 5pqr + cd

15. To subtract two algebraic expressions. EXAMPLE: (2ab – 3) - (ab + 1)
1st algebraic expression
2nd algebraic expression
Buangkan kurungan
- 1
Susun semula mengikut
sebutan yg serupa (unknown sama).
= ab
- 4

16. 2. (4pq – 3qr) - (2qp - 5qr) = 4pq – 3qr = 4pq – 3qr - 2qp
= 4pq - 2qp – 3qr + 5qr
= 2pq
Buangkan kurungan
- 2qp
-(-5qr)
+ 5qr
Susun semula mengikut
sebutan yg serupa (unknown sama).
+ 2qr

17. 3. (ab +3pqr) - (2pqr – 7ab + cd) = ab + 3pqr - 2pqr -(-7ab) -(+cd) = ab + 3pqr - 2pqr + 7ab - cd = ab + 7ab + 3pqr - 2pqr - cd = 8ab + pqr - cd

18. SIMPIFY ALGEBRAIC EXPRESSIONS
EXAMPLE:
4(2p + 3) -2(3p – 2y + 5) –
= 8p + 12 – (6p – 4y + 10)
= 8p + 12 – 6p + 4y – 10
= 8p – 6p + 4y + 12 – 10
= 2p + 4y + 2
= 4x2p
+ 4x3
( 2x3p
- 2x2y
+ 2x5)
Buangkan kurungan
Susun semula mengikut
sebutan yg serupa (unknown sama).