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Topik 2 Operasi Aljabar

Total questions: 10

Worksheet time: 15mins

Name
Class
Date
1.

3a + 3b + 3/4a + 2/3b = ...

a)

11a – 12b

b)

12(2a – b)

c)

5/6(a – b)

d)

11/12(4a + 5b)

e)

11/12(2a – 4b)

2.

Rasio anatar X dan Y adalah 4/5. Jika rasio antara X + 2 dan Y + 1 adalah 5/7, maka nilai y adalah......

a)

-15

b)

15

c)

-20

d)

20

e)

-9

3.

Jika x+y=13\sqrt[]{x}+\sqrt[]{y}=13 dan xy=4\sqrt[]{x}-\sqrt[]{y}=4 , maka x - y =...

a)

17

b)

9

c)

26

d)

52

e)

76

4.

x24x2y+3x2y4y2=...\frac{x^2-4x^2y+3x^2}{y^4-y^2}=...

a)

x2y2\frac{x^2}{y^2}

b)

x2(y1)(y+1)\frac{x^2(y-1)}{(y+1)}

c)

x2y2(y+1)\frac{x^2}{y^2(y+1)}

d)

x2(y1)y2\frac{x^2(y-1)}{y^2}

e)

x2y2(y+2)\frac{x^2}{y^2(y+2)}

5.

2qr6qs+3pspr6qsqr3ps+pr=...\frac{2qr-6qs+3ps-pr}{6qs-qr-3ps+pr}=...

a)

-1

b)

-2

c)

0

d)

1

e)

prp+r\frac{p-r}{p+r}

6.

Jika 5a2+ab=305a^2+ab=30  dan   b215ab=1b^2-\frac{1}{5}ab=-1 maka a2+b2=...a^2+b^2=...

a)

2

b)

4

c)

5

d)

7

e)

8

7.

2x2+4x2y24y=2x^2+4x-2y^2-4y=⋯

a)

(2(x+y))((xy)2)(2(x+y))((x-y)-2)

b)

(2(xy))4(x+y)(2(x-y))-4(x+y)

c)

(2(x+y)2)(xy)(2(x+y)-2)(x-y)

d)

(2(xy))((x+y)+2)(2(x-y))((x+y)+2)

e)

(2(xy)2)(xy)(2(x-y)-2)(x-y)

8.

Jika 2p=3q2p=3q dan r=6p+7q4r=\frac{6p+7q}{4} maka (4p2+r2)q28q2=...\frac{(4p^2+r^2)-q^2}{8q^2}=...

a)

5

b)

4

c)

3

d)

2

e)

1

9.

Jika mn35=130mn^3-5=130 , 13m=5n\frac{1}{3}m=\frac{5}{n} , dan 3q32212,5=q3\frac{3q^3-2}{2}-12,5=q^3 maka nilai m + n + q adalah....

a)

17

b)

14

c)

11

d)

10

e)

7

10.

Jika 5a3b=3\frac{5}{a}-\frac{3}{b}=3 dan 5a+3b=8\frac{5}{a}+\frac{3}{b}=8 , maka nilai 254a294b2\frac{25}{4a^2}-\frac{9}{4b^2} adalah....

a)

3

b)

6

c)

9

d)

15

e)

20