Free Printable T2 2. Pemfaktoran & Pecahan Algebra

1.

Permudahkan:
$\frac{4a}{5}+\frac{3a}{5}$

a)

$\frac{7a}{10}$

b)

$\frac{7a^2}{10}$

c)

$\frac{7a}{5}$

d)

$\frac{7a^2}{5}$

2.

Permudahkan:
$\frac{y}{2x}-\frac{3y}{2x}$

a)

$\frac{2y}{2x}$

b)

$\frac{\left(y-3y\right)}{2x}$

c)

$-\left(\frac{2y}{2x}\right)$

d)

$-\frac{y}{x}$

3.

Permudahkan:
$\frac{5x}{3}-\frac{3x}{2}$

a)

$\frac{2x}{1}$

b)

$\frac{x}{1}$

c)

$\frac{2x}{6}$

d)

$\frac{x}{6}$

4.

Permudahkan:
$\frac{2a}{3}+\frac{b}{2c}$

a)

$\frac{\left(4a+3b\right)}{6c}$

b)

$\frac{\left(4ac+3b\right)}{6c}$

c)

$\frac{\left(4c+3b\right)}{6c}$

d)

$\frac{\left(4ac-3b\right)}{6c}$

5.

Permudahkan:
$\frac{1}{4p}+\frac{4}{6p}$

a)

$\frac{5}{10p^2}$

b)

$\frac{5}{10p}$

c)

$\frac{11}{12p}$

d)

$\frac{11}{12p^2}$

6.

Permudahkan:
$\frac{m}{4r}-\frac{5m}{14rs}$

a)

$\frac{\left(7ms-10m\right)}{28rs}$

b)

$\frac{\left(7s-10m\right)}{28rs}$

c)

$\frac{\left(7m-10s\right)}{28rs}$

d)

$\frac{\left(7ms-10s\right)}{28rs}$

7.

$\frac{\left(2p+4\right)}{\left(p^2-4\right)}$ Permudahkan:

a)

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

b)

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

c)

$\frac{2}{\left(p-2\right)}$

d)

$\frac{2}{\left(p+2\right)}$

8.

Permudahkan:
$\frac{1}{x}\div\frac{1}{x}$

a)

$\frac{1}{x}$

b)

$\frac{x}{1}$

c)

$1$

d)

$\frac{1}{x^2}$

9.

$2s^2\div8sp$ Permudahkan:

a)

$\frac{2s^2}{8sp}$

b)

$\frac{2ss}{8sp}$

c)

$\frac{s}{4p}$

d)

$\frac{2s}{8p}$

10.

$a^2+2ab+b^2$ Permudahkan:

a)

$\left(a+b\right)^2$

b)

$\left(a+b\right)$

c)

$\left(a-b\right)^2$

d)

$\left(a-b\right)$

11.

Kembangkan ungkapan berikut:

3r ( r - 2s)

a)

3r - 5rs

b)

3r² - 5rs

c)

3r² - 6rs

d)

3rr - 6rs

12.

Kembangkan ungkapan berikut:

(y + 1) (y - 3)

a)

y - 2y - 3

b)

y² - 2y - 3

c)

y - 2y² - 3

d)

y² + 2y +3

13.

Kembangkan ungkapan berikut:

(4 + 3r) (2 + r)

a)

3r² + 4r + 8

b)

3r² + 6r + 8

c)

3r² + 10r + 8

d)

3r² + 12r + 8

14.

Kembangkan ungkapan berikut:

(3r + 4s) (r - 2s)

a)

3r + 2rs - 8s

b)

3r² + 2rs + 8s

c)

3r² - 2rs + 8s²

d)

3r² - 2rs - 8s²

15.

Permudahkan:
$\left(3w-2\right)\left(4w-1\right)-10w$

a)

$12w^2+21w+2$

b)

$12w^2-w+2$

c)

$12w^2-21w+2$

d)

$12w^2+21w-2$

16.

Faktorkan:
$x^2-6x+9$

a)

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

b)

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

c)

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

d)

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

17.

Faktorkan:
$m^2-2m-8$

a)

$\left(m-2\right)\left(m+4\right)$

b)

$\left(m+2\right)\left(m+4\right)$

c)

$\left(m+2\right)\left(m-4\right)$

d)

$\left(m-2\right)\left(m-4\right)$

18.

Faktorkan:
$pq+qr+ps+rs$

a)

$\left(pq+qr\right)\left(ps+rs\right)$

b)

$q\left(p+r\right)+s\left(p+r\right)$

c)

$\left(q+s\right)\left(p-r\right)$

d)

$\left(q+s\right)\left(p+r\right)$

19.

Faktorkan:
$2px+6qy-4py-3qx$

a)

$\left(2px-4py\right)-\left(3qx-6qy\right)$

b)

$2p\left(x-2y\right)-3q\left(x-2y\right)$

c)

$\left(x-2y\right)\left(2p-3q\right)$

d)

$\left(x+2y\right)\left(2p+3q\right)$

20.

$-5m\left(2m-n\right)+3n\left(4m+5n\right)=$

a)

$10m^2-7mn+12n^2$

b)

$-10m^2+17mn+15n^2$

c)

$-10m^2+17mn-12n^2$

d)

$-10m^2-17mn+15n^2$

21.

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

a)

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

b)

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

c)

$12r$

d)

$9r$

22.

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)

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

23.

Faktorkan selengkapnya: $m\left(m+1\right)+2\left(m-14\right)$

a)

$\left(m-4\right)\left(m+8\right)$

b)

$\left(m-4\right)\left(m+7\right)$

c)

$\left(m+4\right)\left(m-8\right)$

d)

$\left(m+4\right)\left(m-7\right)$

24.

$9x^2-4x=$

a)

$3x-2$

b)

$3x+2$

c)

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

d)

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

25.

Permudahkan $\frac{\left(y+4\right)^2}{9-x^2}\div\frac{16+4y}{15-5x}$

a)

$\frac{\left(y+4\right)}{\left(3-x\right)}$

b)

$\frac{\left(y+4\right)}{\left(3+x\right)}$

c)

$\frac{5\left(y+4\right)}{4\left(3+x\right)}$

d)

$\frac{5\left(y+4\right)}{4\left(3-x\right)}$

26.

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)

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

27.

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)

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

28.

$\left(2x+3\right)^2-5x=$

a)

$4x^2-5x+9$

b)

$4x^2-x+9$

c)

$4x^2+x+3$

d)

$4x^2+7x+9$

29.

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

a)

$2r-3t$

b)

$4r-3t$

c)

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

d)

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

30.

Cari faktor sepunya terbesar (FSTB) bagi 12 dan 20

a)

2

b)

3

c)

4

d)

6

31.

Apakah FSTB bagi 21 dan 35?

a)

5

b)

7

c)

10

d)

15

32.

Kembangkan unngkapan berikut

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

a)

$x^2+2$

b)

$x^2+2x+2$

c)

$x^2+2x+1$

d)

$x^2-1$

33.

Kembangkan ungkapan berikut

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

a)

$3r^2-2s+4s^2$

b)

$3r^2-8rs+4s^2$

c)

$3r^2-8r+4s^2$

d)

$3r^2-8s+4s^2$

34.

$kembangkan\ -6a\left(b-4\right)$

a)

$-6ab-10a$

b)

$-6ab+10a$

c)

$-6ab-24a$

d)

$-6ab+24a$

35.

$kembangkan\ \ \left(4p-3\right)^2$

a)

$16p^2-9$

b)

$16p^2+9$

c)

$16p^2-24p+9$

d)

$16p^2-24p-9$

36.

Permudahkan $\left(8ab+9cd\right)+\left(10cd+5ab\right)$

a)

$13ab+19cd$

b)

$3ab-cd$

c)

$3ab+19cd$

d)

$13ab-cd$

37.

Faktorkan:

$9x^2-4x=$

(a)

38.

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)

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

39.

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

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)

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

40.

Tuliskan jawapan bagi pemfaktoran $y^2-81$

(a)

41.

Faktorkan selengkapnya:
$6cd-2ce-3bd+be$

a)

$\left(2c-bd\right)\left(3d-e\right)$

b)

$\left(3d-e\right)\left(2c+b\right)$

c)

$\left(e+3d\right)\left(b+2c\right)$

d)

$\left(2c-b\right)\left(3d-e\right)$

42.

Sebuah kotak yang berbentuk segi empat tepat mempunyai panjang

\left(8x-9\right)cm

dan lebar

\left(x-4\right)cm.

Hitung perimeter, dalam cm, kotak itu.

a)

$9x-13$

b)

$18x-13$

c)

$18x-26$

d)

$9x-26$

43.

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

a)

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

b)

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

c)

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

d)

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

44.

Rajah menunjukkan sebuah segi tiga sama kaki.

Apakah perimeter rajah ini.

a)

14 – x

b)

–14 + x

c)

14 – x²

d)

14 + x²

45.

Kembangkan ungkapan berikut

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

a)

$18+4w$

b)

$9+4w$

c)

$18+24w$

d)

$3+24w$

46.

8mn - (3m-2n)²

a)

-9m² + 20mn - 4n²

b)

-9m² - 20mn - 4n²

c)

-9m² + 4mn - 4n²

d)

-9m² - 4mn - 4n²

47.

faktorkan t²-6t+9

a)

(t+3)²

b)

(t-3)²

c)

(t-3)(t+3)

d)

(t+9)(t-9)

48.

(h - 5k)² + 6hk

a)

h² + 6hk + 25k²

b)

h² + hk + 25k²

c)

h² -10k² + 6hk

d)

h² -4hk + 25k²

49.

Faktor 9y² - 25 selengkapnya.

a)

9(y + 5)(y - 5)

b)

9(y - 5)(y - 5)

c)

(9y -5)(9y+5)

d)

(3y - 5)(3y + 5)

50.

Simplify
Permudahkan
$\frac{5}{4n}-\frac{2m\ -\ 3}{12n}$

a)

$\frac{18\ -\ 2m}{12n}$

b)

$\frac{9\ -\ m}{6n}$

c)

$\frac{12\ -2m}{12n}$

d)

$\frac{6\ -\ m}{6n}$

T2 2. Pemfaktoran & Pecahan Algebra

Total questions: 50

Worksheet time: 2hrs 28mins

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