Page 45 - Steady Mate Tg1 - Book A

Matematik Tingkatan 1 Bab 5 Ungkapan Algebra

Ungkapan Algebra yang Melibatkan Operasi Asas Aritmetik
5.2 Algebraic Expressions Involving Basic Arithmetic Operations BUKU TEKS ms. 113 – 117

MESTI TAHU & INGAT

Sebutan serupa boleh dipermudah dengan menambah atau menolak pekali sebutan-sebutan yang serupa itu.
Like terms can be simplified by adding or subtracting the coefficients of the like terms.

H Permudahkan setiap yang berikut. TP 2 ARAS R
Simplify each of the following.
Contoh 1. 8m – 9 – 2m + 5
= 8m – 2m – 9 + 5
7x – 5 + 2x = 6m – 4
Kumpulkan sebutan serupa
= 7x + 2x – 5 Gather the like terms
= 9x – 5

2. 3h – (–2) + 4h 3. –9vw + 4 + 5vw
= 3h + 4h + 2 = –9vw + 5vw + 4
= 7h + 2 = –4vw + 4

I Permudahkan setiap yang berikut. TP 2 ARAS R
Simplify each of the following.

Contoh Contoh
Kumpulkan sebutan serupa Bagi penolakan, tukarkan tanda
(4r – 8s) + (3r – 6s + 3) Gather the like terms (6m – 8n) – (4n + 2m – 3) dalam tanda kurung selepas
= 4r – 8s + 3r – 6s + 3 = 6m – 8n – 4n – 2m + 3 tanda kurung digugurkan.
= 4r + 3r – 8s – 6s + 3 = 6m – 2m – 8n – 4n + 3 For subtraction, change the
Permudahkan sebutan serupa signs inside the brackets when
= 7r – 14s + 3 Simplify the like terms = 4m – 12n + 3 the brackets are dropped.

1. (3x – 7y + 4) + (6x – 2y) 3. (15p – 9q) – (6 + q – 8p)
= 3x – 7y + 4 + 6x – 2y = 15p – 9q – 6 – q + 8p
= 3x + 6x – 7y – 2y + 4 = 15p + 8p – 9q – q – 6
= 9x – 9y + 4 = 23p – 10q – 6

1 1 2 1 3 2 1 1 1 2 1
2. 5a – 4 bc + –3a + 4 bc + 2abc 4. gh – 3 g – 2 gh + 6 h
1 3 1 1 1
= 5a – bc – 3a + bc + 2abc = gh – g + gh + h
4 4 3 2 6
1 3 1 1 1
= 5a – 3a – bc + bc + 2abc = gh + gh – g + h
4 4 2 3 6
1 3 1 1
= 2a + bc + 2abc = gh – g + h
2 2 3 6

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