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Алгебралық бөлшектер

Total questions: 10

Worksheet time: 6mins

Name
Class
Date
1.

Алгебралық бөлшекті қысқартуды орында: 5x2y320xy\frac{5x^2y^3}{20xy}

a)

14xy2\frac{1}{4}xy^2

b)

4xy4xy

c)

14x2y3\frac{1}{4}x^2y^3

2.

Қосуды орында: 2x5+3x+15\frac{2x}{5}+\frac{3x+1}{5}

a)

5x+110\frac{5x+1}{10}

b)

5x+15\frac{5x+1}{5}

c)

5x+15x\frac{5x+1}{5x}

3.

3x+105x−10−2x5x\frac{3x+10}{5x}-\frac{10-2x}{5x}

a)

1

b)

5x−205x\frac{5x-20}{5x}

c)

15\frac{1}{5}

4.

3x2−22x+1x\frac{3x^2-2}{2x}+\frac{1}{x}

a)

32\frac{3}{2}

b)

3x2\frac{3x}{2}

c)

3x2+22x\frac{3x^2+2}{2x}

5.

a3b+a2b−ab\frac{a}{3b}+\frac{a}{2b}-\frac{a}{b}

a)

5a6b\frac{5a}{6b}

b)

a3b\frac{a}{3b}

c)

−a6b-\frac{a}{6b}

6.

x2x−1−1x−1\frac{x^2}{x-1}-\frac{1}{x-1}

a)

x−1x-1

b)

x+1x+1

c)

11

7.

1x+1y+1z\frac{1}{x}+\frac{1}{y}+\frac{1}{z}

a)

yz+xz+xyxyz\frac{yz+xz+xy}{xyz}

b)

x+y+zxyz\frac{x+y+z}{xyz}

c)

xyzx+y+z\frac{xyz}{x+y+z}

8.

5a−b+10b−a\frac{5}{a-b}+\frac{10}{b-a}

a)

15a−b\frac{15}{a-b}

b)

5a−b\frac{5}{a-b}

c)

−5a−b-\frac{5}{a-b}

9.

3a+5a+b+3−3ab+a\frac{3a+5}{a+b}+\frac{3-3a}{b+a}

a)

6a+8a+b\frac{6a+8}{a+b}

b)

8a+b\frac{8}{a+b}

c)

8−6aa+b\frac{8-6a}{a+b}

10.

1n−m+1n+m\frac{1}{n-m}+\frac{1}{n+m}

a)

2nn2−m2\frac{2n}{n^2-m^2}

b)

2mn2−m2\frac{2m}{n^2-m^2}

c)

2n−2m(n−m)(n+m)\frac{2n-2m}{\left(n-m\right)\left(n+m\right)}