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MATHEMATICS FORM 2 CHAPTER 3

MATHEMATICS FORM 2 CHAPTER 3. ALGEBRAIC EXPRESSIONS II. By : Pn Rosmawati bt Mat Yusop. SIMPLIFY ALGEBRAIC EXPRESSIONS BY GROUPING LIKE TERMS. EXAMPLE: 7pq + 5 – 2pq + 3 = 7pq – 2pq + 5 + 3 = 5pq + 8 2. 2xy – 5pqr + 4yx – 3pqr = 2xy + 4yx – 5pqr – 3pqr = 6xy – 8pqr.

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MATHEMATICS FORM 2 CHAPTER 3

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  1. MATHEMATICS FORM 2CHAPTER 3 ALGEBRAIC EXPRESSIONS II By : PnRosmawatibt Mat Yusop

  2. SIMPLIFY ALGEBRAIC EXPRESSIONS BY GROUPING LIKE TERMS EXAMPLE: • 7pq + 5 – 2pq + 3 = 7pq – 2pq + 5 + 3 = 5pq + 8 2. 2xy – 5pqr + 4yx – 3pqr = 2xy + 4yx – 5pqr – 3pqr = 6xy – 8pqr an algebraic expression Susunsemulamengikut sebutanygserupa (unknown sama). Tandadidepansetiapsebutan dibawasekalisemasamenyusun semula. Kiramacambiasa

  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) 4(2p + 3) = 4x2p + 4x3 = 8p + 12 an algebraic expression a number Darabkannombordengansetiapsebutandalamkurungan 4x2p + 4x3 bolehjugaditulis: 4(2p) + 4(3) ->tandadarabditukarkandgnkurungan

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

  7. 3.

  8. EXAMPLE: • (4y - 6) ÷ 2 • = 4y – 6 • 2 = 4y - 6 2 2 = 2y - 3 an algebraic expression a number Divide an algebraic expression by a number. Tukarkankepadabentukpecahan Bahagikansetiapsebutandengan 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 Buangkankurungan Susunsemulamengikut sebutanygserupa (unknown sama). = 3ab - 2

  13. Buangkankurungan + 2qp +(-5qr) 2. (4pq – 3qr) + (2qp - 5qr) = 4pq – 3qr = 4pq – 3qr + 2qp = 4pq + 2qp – 3qr – 5qr = 6pq - 5qr Susunsemulamengikut sebutanygserupa (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. 1st algebraic expression 2nd algebraic expression To subtract two algebraic expressions. EXAMPLE: • (2ab – 3) - (ab + 1) = 2ab – 3 - ab - (+1) = 2ab – 3 – ab = 2ab – ab – 3 – 1 Buangkankurungan - 1 Susunsemulamengikut sebutanygserupa (unknown sama). = ab - 4

  16. Buangkankurungan - 2qp -(-5qr) 2. (4pq – 3qr) - (2qp - 5qr) = 4pq – 3qr = 4pq – 3qr - 2qp = 4pq - 2qp – 3qr + 5qr = 2pq + 5qr Susunsemulamengikut sebutanygserupa (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) Buangkankurungan Susunsemulamengikut sebutanygserupa (unknown sama).

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