Free Printable Pemfaktoran dan Pecahan algebra

1.

Kembangkan ungkapan berikut

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

a)

$18+4w$

b)

$9+4w$

c)

$18+24w$

d)

$3+24w$

2.

Kembangkan ungkapan berikut

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

a)

$3r-5rs$

b)

$3r^2-6rs$

c)

$3r^2-5rs$

d)

$r^2-6rs$

3.

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)

$y^2-2y-3$

4.

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)

$y^2-2y-3$

5.

Kembangkan unngkapan berikut

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

a)

$x^2+2$

b)

$x^2+2x+2$

c)

$x^2+2x+1$

d)

$x^2-1$

6.

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)

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

7.

Faktorkan ungkapan berikut

$3x+15$

a)

$x+5$

b)

$18x$

c)

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

d)

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

8.

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)

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

9.

Faktorkan ungkapan berikut

$2m^2+7m+6$

a)

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

b)

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

c)

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

d)

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

10.

faktorkan ungkapan berikut

$pq+qr+ps+rs$

a)

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

b)

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

c)

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

d)

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

11.

Ungkapkan $\frac{1}{k}+\frac{k-3}{4k}$ sebagai satu pecahan tunggal dalam bentuk termudah

a)

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

b)

$\frac{1+k}{4k}$

c)

$\frac{4+k}{4k}$

d)

$\frac{2k-3}{4k}$

12.

Kembangkan ungkapan berikut

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

a)

$3r-5rs$

b)

$3r^2-6rs$

c)

$3r^2-5rs$

d)

$r^2-6rs$

13.

Kembangkan unngkapan berikut

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

a)

$x^2+2$

b)

$x^2+2x+2$

c)

$x^2+2x+1$

d)

$x^2-1$

14.

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)

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

15.

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

a)

$\frac{x}{6}$

b)

$\frac{6}{x}$

c)

$-\frac{6}{x}$

d)

$\frac{6x}{x}$

16.

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

a)

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

b)

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

c)

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

d)

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

17.

$-12y\left(z+3\right)=$

a)

$-12yz-36y$

b)

$-12yz-36$

c)

$-12yz+36$

d)

$-12yz+36y$

18.

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

a)

$4x^2-5x+9$

b)

$4x^2-x+9$

c)

$4x^2+x+3$

d)

$4x^2+7x+9$

19.

Kembangkan unngkapan berikut

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

a)

$x^2+2$

b)

$x^2+2x+2$

c)

$x^2+2x+1$

d)

$x^2-1$

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.

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

a)

$4x^2-5x+9$

b)

$4x^2-x+9$

c)

$4x^2+x+3$

d)

$4x^2+7x+9$

27.

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

a)

$2r-3t$

b)

$4r-3t$

c)

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

d)

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

28.

Kembangkan ungkapan berikut

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

a)

$3r-5rs$

b)

$3r^2-6rs$

c)

$3r^2-5rs$

d)

$r^2-6rs$

29.

$-12y\left(z+3\right)=$

a)

$-12yz-36y$

b)

$-12yz-36$

c)

$-12yz+36$

d)

$-12yz+36y$

30.

Kembangkan ungkapan algebra di bawah dan pilih jawapan dalam bentuk termudah.

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

a)

$y^2+3x+10$

b)

$y^2-3y-10$

c)

$y^2-7y-10$

d)

$y^2-7y+10$

31.

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

a)

$\frac{7a}{5}$

b)

$\frac{7}{5}$

c)

$\frac{5}{7a}$

d)

$\frac{5a}{7}$

32.

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

a)

$\frac{y}{x}$

b)

$-\frac{y}{x}$

c)

$\frac{x}{y}$

d)

$\frac{xy}{x}$

33.

Satu daripada faktor bagi $6x^2-18x$

a)

$x-3$

b)

$1-3x$

c)

$6x-1$

d)

$1-6x$

34.

Faktorkan: $3x^2+5x-2$

a)

$\left(x-2\right)\left(3x+1\right)$

b)

$\left(x+2\right)\left(3x-1\right)$

c)

$\left(3x-2\right)\left(x+1\right)$

d)

$\left(3x+2\right)\left(x-1\right)$

35.

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)

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

36.

Kembangkan ungkapan berikut

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

a)

$3r-5rs$

b)

$3r^2-6rs$

c)

$3r^2-5rs$

d)

$r^2-6rs$

37.

Permudahkan: $\frac{3m^2}{mn-n^2}\times\frac{2m-2n}{3m-6m^2}$

a)

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

b)

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

c)

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

d)

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

38.

Faktorkan 75 – 3y².

a)

3(25 – y²)

b)

3(5 – y)(5 + y)

c)

3(5 – y)2

d)

5(15 – 3y²)

39.

Permudahkan (5r + 2s)(5r – 2s) – 4(r² + s²).

a)

21r²+ 8s²

b)

21r² – 8s²

c)

21r² – 24s²

d)

21r² + 24s²

40.

Antara yang berikut, yang manakah bukan faktor bagi 16n² – 144?

a)

n –3

b)

16

c)

9n + 3

d)

n²– 9

41.

Kembangkan (4x + y)²

a)

16x² + y²

b)

8x + 2y

c)

4x² + 8xy + y²

d)

16x² + 8xy + y²

42.

Faktorkan m² – 5(m – 1) – (2 – m).

a)

m² – 7m + 5

b)

m² – 4m + 3

c)

m² – 7m – 7

d)

m² – 4m – 7

43.

Permudahkan (4x + 3)² – (10x – 7).

a)

16x² – 2x + 16

b)

16x² – 14x + 16

c)

16x² + 14x + 16

d)

16x² + 14x + 2

Pemfaktoran dan Pecahan algebra

Total questions: 43

Worksheet time: 22mins

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