Page 37 - Steady Mate Tg1 - Book B

Matematik Tingkatan 1 Bab 6 Persamaan Linear

1. Jisim sebungkus serbuk koko ialah j kg. Puan Jamailah membeli 8
bungkus serbuk koko dengan jumlah jisimnya 6 kg. 8j = 6
The mass of a pack of cocoa powder is j kg. Puan Jamailah bought 8 packs
of cocoa powder with a total mass of 6 kg.
2. Yonna mempunyai m utas tali yang panjangnya 2 m seutas dan 5
utas tali yang panjangnya 3 m seutas. Jumlah panjang semua tali 2m + 5 × 3 = 20
itu ialah 20 m. 2m + 15 = 20
Yonna has m ropes of length 2 m each and 5 ropes of length 3 m each.
The total length of all the ropes is 20 m.
3. Bapa Jackie berumur 40 tahun. Beza umur antara Jackie dengan Katakan umur Jackie ialah a tahun.
bapanya ialah 16 tahun. Let Jackie’s age is a years old.
Jackie’s father is 40 years old. The difference between the ages of Jackie 40 – a = 16
and her father is 16 years.

C Selesaikan setiap persamaan linear yang berikut. TP 2 ARAS R
Solve each of the following linear equations.
Contoh 1. b + 5 = 9 2. y + 4 = –1

x + 3 = 10 Tolak 3 pada kedua-dua
belah persamaan. b + 5 – 5 = 9 – 5 y + 4 – 4 = –1 – 4
x + 3 – 3 = 10 – 3 Subtract 3 from both sides b = 4 y = –5
x = 7 of the equation.

Contoh 3. a – 6 = 2 4. t – 3 = –4
k – 4 = 8 Tambah 4 pada kedua- a – 6 + 6 = 2 + 6 t – 3 + 3 = –4 +3
dua belah persamaan.
k – 4 + 4 = 8 + 4 Add 4 to both sides of the a = 8 t = –1
k = 12 equation.

Contoh 5. 5v = 20 6. –8q = 56
3m = 15 5v 20 –8q 56
Bahagi kedua-dua belah = =
3m 15 5 5 –8 –8
= dengan 3.
3 3 Divide both sides by 3. v = 4 q = –7
m = 5

Contoh 7. f = 3 8. w = –7

n = 4 Darab kedua-dua belah 6 3
5 dengan 5.
n Multiply both sides by 5. f × 6 = 3 × 6 w × 3 = –7 × 3
× 5 = 4 × 5 6 3
5
n = 20 f = 18 w = –21

Contoh Darab kedua-dua 9. 4n = –8 10. – 3p = 12
5a = 15 belah dengan 7 5 , iaitu 9 4
7 salingan bagi 5 7 . 4n 9 9 3p 4 4
1 2
× –
5a 7 7 Multiply both sides by 9 × 4 = –8 × 4 – 4 1 2 = 12 × –
× = 15 × 3 3
7 5 5 7 , the reciprocal of 5 .
5 7 n = –18 p = –16
a = 21
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