Free Printable Bab 2 : Pemfaktoran dan Pecahan Algebra (Tingkatan 2)

1.

Faktorkan selengkapnya: $2x^2-50$

a)

$2\left(x+5\right)\left(x-5\right)$

b)

$\left(2x+5\right)\left(2x-5\right)$

c)

$\left(2x+5\right)\left(x-5\right)$

d)

$2\left(x-5\right)^2$

2.

$9x^2-4x=$

a)

$3x-2$

b)

$3x+2$

c)

$3x\left(3x-4\right)$

d)

$x\left(9x-4\right)$

3.

Faktorkan: $9x^2-5x-4$

a)

$\left(3x+1\right)\left(3x-4\right)$

b)

$\left(3x+2\right)\left(3x-2\right)$

c)

$\left(9x+1\right)\left(x-4\right)$

d)

$\left(9x+4\right)\left(x-1\right)$

4.

Permudahkan: $\frac{8rst-6t^2}{2st}$

a)

$2r-3t$

b)

$4r-3t$

c)

$\frac{2rs-3t}{s}$

d)

$\frac{4rs-3t}{s}$

5.

Factorise

Faktorkan

10ab + 15ac

a)

5(2ab + 3ac)

b)

a(10b + 15c)

c)

10a(b + 15ac)

d)

5a(2b + 3c)

6.

Factorise

Faktorkan

p² + 3p - 28

a)

(p + 7)(p - 4)

b)

(p - 7)(p - 4)

c)

(p - 7)(p + 4)

d)

(p + 7)(p + 4)

7.

Simplify
Permudahkan
$\frac{5k\ -\ 10}{9\ -\ 3h}\ \div\ \frac{k^2\ -\ 4}{3\ -\ h}$

a)

$-\frac{5}{3\left(k-2\right)}$

b)

$-\frac{5}{3\left(k\ +\ 2\right)}$

c)

$\frac{5}{3\left(k\ -2\right)}$

d)

$\frac{5}{3\left(k\ +\ 2\right)}$

8.

Kembangkan ungkapan berikut dan tulis jawapan anda di bawah
$6\left(3+4w\right)$

(a)

9.

Kembangkan unngkapan berikut

$\left(x+1\right)^2$

a)

$x^2+2$

b)

$x^2+2x+2$

c)

$x^2+2x+1$

d)

$x^2-1$

10.

faktorkan ungkapan berikut

$9m^2-100$

a)

$\left(3m-10\right)\left(3m+10\right)$

b)

$\left(3m-100\right)\left(3m+100\right)$

c)

$\left(9m-10\right)\left(9m+10\right)$

d)

$\left(9m-100\right)\left(9m+100\right)$

11.

$Faktorkan\ \ \ \ 4m^2-17m-15$

a)

$\left(4m+3\right)\left(m-5\right)$

b)

$\left(4m-3\right)\left(m+5\right)$

c)

$\left(2m+3\right)\left(2m-5\right)$

d)

$\left(2m-3\right)\left(2m+5\right)$

12.

$permudahkan\ \frac{5x}{3}-\frac{3x}{2}=$

a)

$\frac{x}{6}$

b)

$\frac{6}{x}$

c)

$-\frac{6}{x}$

d)

$\frac{6x}{x}$

13.

$permudahkan\ \frac{a^2-1}{2ab}\times\frac{b2}{1+a}=$

a)

$\frac{\left(a-1\right)}{b}$

b)

$\left(a-\frac{b}{1}\right)$

c)

$\frac{b\left(a-1\right)}{2a}$

d)

$\frac{a}{b}-a$

14.

$permudahkan\ \frac{4a}{5}+\frac{3a}{5}=$

a)

$\frac{7}{5}$

b)

$\frac{7a}{5}$

c)

$\frac{12a}{5}$

d)

$\frac{7a}{10}$

15.

Permudahkan $\left(3r-6\right)\times\frac{3r}{r-2}$

a)

$\frac{3r-1}{3}$

b)

$\frac{r}{3r-2}$

c)

$12r$

d)

$9r$

16.

Ungkapkan $\frac{5}{m-2}-\frac{1-2m}{m}$ sebagai satu pecahan tunggal dalam bentuk termudah.

a)

$\frac{2\left(1+m^2\right)}{m\left(m-2\right)}$

b)

$\frac{1+m^2}{m\left(m-2\right)}$

c)

$\frac{1-m^2}{m\left(m-2\right)}$

d)

$\frac{2+m^2}{m\left(m-2\right)}$

17.

Kembangkan ungkapan berikut

$6\left(3+4w\right)$

a)

$18+4w$

b)

$9+4w$

c)

$18+24w$

d)

$3+24w$

18.

Kembangkan ungkapan berikut

$3r\left(r-2s\right)$

a)

$3r-5rs$

b)

$3r^2-6rs$

c)

$3r^2-5rs$

d)

$r^2-6rs$

19.

Kembangkan ungkapan berikut

$\left(y-1\right)\left(y+3\right)$

a)

$y^2+2y-3$

b)

$y^2-2y+3$

c)

$y^2+2y+3$

d)

$y^2-2y-3$

20.

Faktorkan ungkapan berikut

$b^2-1$

a)

$\left(b-1\right)\left(b-1\right)$

b)

$\left(b+1\right)\left(b+1\right)$

c)

$\left(b-1\right)\left(b+1\right)$

d)

$b\left(b-1\right)$

Bab 2 : Pemfaktoran dan Pecahan Algebra (Tingkatan 2)

Total questions: 20

Worksheet time: 15mins

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