Free Printable pemfaktoran dan pecah algebra

1.

$am+mx+an+nx$

a)

(m+n)(a+x)

b)

(m+a)(x+n)

c)

(m-n)(a-x)

2.

$2a-2m+ax-mx$

a)

(a+m)(2+x)

b)

(a-m)(2+x)

c)

(a+m)(2-x)

3.

$2x+6+xy+3y$

a)

(2-y)(x-3)

b)

(2+y)(x+3)

c)

(2+3)(x-3)

4.

$6wy-6xz+4wz-9xy$

a)

(2w-3x)(3y+2z)

b)

(2w+3x)(3y+2z)

c)

(2w-3x)(3y-2z)

5.

Kembangkan

4(5+3e)

a)

20+12e

b)

12+20e

c)

4e+20

6.

Kembangkan

2r(1-2s)

a)

2r-4rs

b)

2rs-4r

c)

2r+4rs

7.

Gabungan operasi termasuk kembangan

(3m+2)(4m-1)-4m

a)

12m²-m-2

b)

12m²+m-2

c)

12m+m-2

8.

Gunakan FSTB

4m-24n

a)

4(2m+6n)

b)

4(m-6n)

c)

4(m+6n)

9.

Gunakan FSTB

6u+18uv

a)

u(1-3v)

b)

6u(1-3v)

c)

6u(1+3v)

10.

Pendaraban Silang

x²+5x+6

a)

(x+2)(x+3)

b)

(x+3)(x+2)

c)

(x-2)(x+3)

11.

Apakah faktor sepunya terbesar (FSTB) bagi 18 dan 24?

a)

2

b)

3

c)

6

d)

18

12.

Cari faktor sepunya terbesar (FSTB) bagi 15 dan 45

a)

5

b)

10

c)

15

d)

20

13.

Faktorkan

$4x+2$

a)

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

b)

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

c)

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

d)

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

14.

Faktorkan

$15-3x$

a)

$3\left(5-x\right)$

b)

$3\left(5-2x\right)$

c)

$5\left(3-x\right)$

d)

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

15.

Faktorkan

$4x-20$

a)

$4\left(x-5\right)$

b)

$4\left(x+5\right)$

c)

$2\left(2x-10\right)$

d)

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

16.

Faktorkan

$m^2+7m$

a)

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

b)

$7\left(m+1\right)$

c)

$m\left(2m+7\right)$

d)

$7\left(m^2+1\right)$

17.

Faktorkan

$20+10y$

a)

$10\left(2+y\right)$

b)

$10\left(10+y\right)$

c)

$5\left(4+2y\right)$

d)

$5\left(4y+2\right)$

18.

Faktorkan

$5a+10b-20c$

a)

$5\left(a+2b-4c\right)$

b)

$5\left(a+2b-3c\right)$

c)

$2\left(a+5b-10c\right)$

d)

$10\left(a+b-2c\right)$

19.

Faktorkan

$ab-bc$

a)

$b\left(a-c\right)$

b)

$a\left(b-c\right)$

c)

$c\left(a-b\right)$

d)

$b\left(c-a\right)$

20.

$\left(4x-8\right)^2=$

a)

$16x^2+64x-64$

b)

$16x^2+64x+64$

c)

$16x^2-64x+64$

d)

$16x^2-64x-64$

21.

$2\left(2k-9\right)^2-k=$

a)

$4k^2-37k+81$

b)

$4k^2-35k+81$

c)

$8k^2-73k+162$

d)

$8k^2-71k+162$

22.

$Faktor\ \ 3n^2+2n-5$

a)

$\left(n-1\right)\left(3n+5\right)$

b)

$\left(n+1\right)\left(3n-5\right)$

c)

$\left(n-5\right)\left(3n-1\right)$

d)

$\left(n+5\right)\left(3n+1\right)$

23.

$14st+63su-14t-63u$

a)

$\left(7s-7\right)\left(2t+9u\right)$

b)

$\left(7s+9u\right)\left(2t-7\right)$

c)

$\left(7s+2t\right)\left(9u-7\right)$

d)

$\left(9u+2t\right)\left(2t+7s\right)$

24.

$-2x\left(-x-y+5z\right)+xz\ =$

a)

$-2x^2+2xy+9xz$

b)

$-2x^2-2xy+9xz$

c)

$2x^2-2xy-9xz$

d)

$2x^2+2xy-9xz$

25.

$\frac{m+2}{3n-4}+\frac{2m+1}{3n-4}=$

a)

$\frac{3m+1}{\left(3n-4\right)^2}$ $.$

b)

$\frac{3m+3}{\left(3n-4\right)^2}$ $.$

c)

$\frac{3m^2+3}{3n-4}$

d)

$\frac{3m+3}{3n-4}$

26.

$\frac{9xy}{8}\times\frac{3z}{4x}=$

a)

$\frac{27x^2y}{32}$

b)

$\frac{27xyz}{32}$

c)

$\frac{27yz}{32}$

d)

$\frac{27x^2yz}{32}$

27.

Antara berikut, yang manakah bukan faktor sepunya bagi 3p dan 9pq?

Which of the following is not the common factor of 3p and 9pq?

a)

1

b)

3

c)

p

d)

9p

28.

Tentukan faktor sepunya terbesar bagi $6h^2\ dan\ 9hk$ .
Determine the highest common factor of $6h^2and\ 9hk$

a)

1

b)

h

c)

3h

d)

3hk

29.

Kembangkan / Expand $\frac{3}{2h}\left(6k+4h\right)-\frac{7k}{4h}$

a)

$\frac{29k+2h}{2h}$

b)

$\frac{29k+24h}{2h}$

c)

$\frac{29k+2h}{4h}$

d)

$\frac{29k+24h}{4h}$

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

(a)

33.

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

a)

$-6ab-10a$

b)

$-6ab+10a$

c)

$-6ab-24a$

d)

$-6ab+24a$

34.

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

a)

$13ab+19cd$

b)

$3ab-cd$

c)

$3ab+19cd$

d)

$13ab-cd$

35.

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)

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

36.

Faktorkan:

$9x^2-4x=$

(a)

37.

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)

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

38.

Tuliskan jawapan bagi pemfaktoran $y^2-81$

(a)

39.

Kembangkan 3(5+n)

a)

5 + 3n

b)

15 + 3n

c)

3n + 15

d)

15n + 3

40.

Permudahkan
$9x\left(x+2\right)+5$ (TP3)

a)

$\left(3x+1\right)\left(3x+5\right)$

b)

$9x^2+18x+5$

41.

Permudahkan
$4\left(2k-1\right)^2-16$ (TP3)

a)

$4\left(2k-1\right)\left(2k-3\right)$

b)

$4\left(2k+1\right)\left(2k-3\right)$

42.

Permudahkan
$\frac{3k}{10}-\frac{1-3k}{10}$ (TP3)

a)

$\frac{6k+1}{10}$

b)

$\frac{6k-1}{10}$

43.

Permudahkan
$\frac{p-q}{5p+q}+\frac{4p-2q}{5p+q}$ (TP3)

a)

$\frac{5p-3q}{5p+q}$

b)

$\frac{5p+3q}{5p+q}$

44.

Permudahkan
$\frac{2}{5r}-\frac{7}{10r}$ (TP3)

a)

$-\frac{3}{10r}$

b)

$\frac{3}{10r}$

45.

Permudahkan
$\frac{5u}{12}+\frac{u}{4}$ (TP3)

a)

$\frac{8u}{12}$

b)

$\frac{2u}{3}$

46.

Permudahkan
$\frac{3u^2-12}{u+2}$ (TP3)

a)

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

b)

$3\left(u+2\right)$

47.

Permudahkan
$\frac{6m-8n}{10}$ (TP3)

a)

$\frac{3m+4n}{5}$

b)

$\frac{3m-4n}{5}$

48.

Permudahkan
$\frac{2e+f}{8e-2e^2}\times\frac{4e-e^2}{2ef+f^2}$ (TP3)

a)

$\frac{e}{2ef}$

b)

$\frac{1}{2f}$

49.

Permudahkan
$\frac{10k}{k^2+6k+5}\div\frac{5hk^2}{k+5}$ (TP3)

a)

$\frac{2}{hk\left(k+1\right)}$

b)

$\frac{2}{hk\left(k-1\right)}$

50.

Permudahkan
$\frac{2r-14}{2r^2+r-3}\times\frac{r-1}{r^2-49}$ (TP3)

a)

$\frac{2}{\left(2r+3\right)\left(r+7\right)}$

b)

$\frac{2}{\left(2r-3\right)\left(r-7\right)}$

51.

Permudahkan
$\frac{mn-n^2}{4m^2-1}\times\frac{6m-3}{m^2-n^2}$ (TP3)

a)

$\frac{3n}{\left(2m-1\right)\left(m-n\right)}$

b)

$\frac{3n}{\left(2m+1\right)\left(m+n\right)}$

52.

Permudahkan
$\frac{3}{4u}\left(8u+4v\right)\div\frac{v}{2u}$ (TP3)

a)

$\frac{6\left(2u+v\right)}{v}$

b)

$\frac{12u+6v}{v}$

53.

Permudahkan
$\frac{4ab+10b}{b^2-4a^2}\div\frac{25-4a^2}{ab+2a^2}$ (TP3)

a)

$\frac{2ab}{\left(b+2a\right)\left(5+2a\right)}$

b)

$\frac{2ab}{\left(b-2a\right)\left(5-2a\right)}$

54.

Permudahkan
$\frac{2hk}{h^2+5h+6}\times\frac{2h^2-18}{3k-hk}$ (TP3)

a)

$-\frac{4h}{h+2}$

b)

$\frac{4h}{h-2}$

pemfaktoran dan pecah algebra

Total questions: 54

Worksheet time: 28mins

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