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Worksheets

Racionaliųjų reiškinių sudėtis

Total questions: 19

Worksheet time: 18mins

Name
Class
Date
1.

Kurios trupmenos turi vienodą vardiklį?

a)

6−xx−2xir 2x−52x−x\frac{6-x}{x-2x}ir\ \frac{2x-5}{2x-x}

b)

4x+x2ir 2x−3x2−x\frac{4}{x+x^2}ir\ \frac{2x-3}{x^2-x}

c)

3x4x+6x2 ir x−66x2+4x\frac{3x}{4x+6x^2}\ ir\ \frac{x-6}{6x^2+4x}

d)

6x−x23xir x2−6x3+x\frac{6x-x^2}{3x}ir\ \frac{x^2-6x}{3+x}

2.

Nustatykite trupmenų 7+x10x ir x+65x4\frac{7+x}{10x}\ ir\ \frac{x+6}{5x^4} bendrą vardiklį.

a)

10x

b)

5x45x^4

c)

10x410x^4

d)

50

3.

Sudėkite trupmenas 2x−4+3x−4\frac{2}{x-4}+\frac{3}{x-4}

a)

5(x−4)2\frac{5}{\left(x-4\right)^2}

b)

5x−4\frac{5}{x-4}

c)

5x−20x−4\frac{5x-20}{x-4}

d)

5x−20(x−4)2\frac{5x-20}{\left(x-4\right)^2}

4.

Atimkite trupmenas 2xx2−5xx2\frac{2x}{x^2}-\frac{5x}{x^2}

a)

7xx2\frac{7x}{x^2}

b)

3xx2\frac{3x}{x^2}

c)

−3xx2-\frac{3x}{x^2}

d)

10xx4\frac{10x}{x^4}

5.

Koks bendrasis vardiklis yra trupmenų 7x−1x−1 ir 2x(x−1)\frac{7x-1}{x-1}\ ir\ \frac{2}{x\left(x-1\right)}

a)

2(7x - 1)

b)

x - 1

c)

x

d)

x(x - 1)

6.

Nustatykite bendrą vardiklį trupmenų 7x22x−7 ir 102x+7\frac{7x^2}{2x-7}\ ir\ \frac{10}{2x+7} .

a)

2x - 7

b)

2x + 7

c)

(2x - 7)(2x + 7)

d)

70x270x^2

7.

Sudėkite: 2x−7x−9+3x+4x−9\frac{2x-7}{x-9}+\frac{3x+4}{x-9}

a)

5x−11x−9\frac{5x-11}{x-9}

b)

5x+3x−9\frac{5x+3}{x-9}

c)

5x−3x−9\frac{5x-3}{x-9}

d)

5x+11x−9\frac{5x+11}{x-9}

8.

Atimkite: 3x+43x−5−5x+63x−5\frac{3x+4}{3x-5}-\frac{5x+6}{3x-5}

a)

−2x+103x−5\frac{-2x+10}{3x-5}

b)

−2x+23x−5\frac{-2x+2}{3x-5}

c)

−2x−23x−5\frac{-2x-2}{3x-5}

d)

8x−23x−5\frac{8x-2}{3x-5}

9.

Nustatykite bendrą vardiklį trupmenų 6xx+7 ir xx2−49\frac{6x}{x+7}\ ir\ \frac{x}{x^2-49}

a)

x + 7

b)

x - 7

c)

x2−49x^2-49

d)

(x+7)(x2−49)\left(x+7\right)\left(x^2-49\right)

10.

Atimkite: 9x−13x+2−4−x3x+2\frac{9x-1}{3x+2}-\frac{4-x}{3x+2}

a)

9x−53x+2\frac{9x-5}{3x+2}

b)

10x−53x+2\frac{10x-5}{3x+2}

c)

43x+2\frac{4}{3x+2}

d)

8x−53x+2\frac{8x-5}{3x+2}

11.

Subendravardiklinkite ir sudėkite:

x+33x+x+22x\frac{x+3}{3x}+\frac{x+2}{2x}  

a)

5x+126x\frac{5x+12}{6x}  

b)

2x+55x\frac{2x+5}{5x}  

c)

5x+126x2\frac{5x+12}{6x^2}  

d)

6x−125x\frac{6x-12}{5x}  

12.

Subendravardiklinkite ir atimkite:   57−x−6x+7\frac{5}{7-x}-\frac{6}{x+7}  

a)

11x−7(7−x)(x+7)\text{}\frac{11x-7}{\left(7-x\right)\left(x+7\right)}  

b)

−x−7(x+7)(x−7)\frac{-x-7}{\left(x+7\right)\left(x-7\right)}  

c)

11x+77(x−7)(x+7)\frac{11x+77}{\left(x-7\right)\left(x+7\right)}  

d)

−11x−7(x+7)(7−x)\frac{-11x-7}{\left(x+7\right)\left(7-x\right)}  

13.

Suprastinkite:   6x215x\frac{6x^2}{15x}  

a)

2x3\frac{2x}{3}  

b)

2x5\frac{2x}{5}  

c)

65x\frac{6}{5x}  

d)

3x5\frac{3x}{5}  

14.

Atimkite:

3y−16−y−y6−y\frac{3y-1}{6-y}-\frac{y}{6-y}  

a)

2y−16−y\frac{2y-1}{6-y}  

b)

26−y\frac{2}{6-y}  

c)

2y−12y-1  

d)

3y−1−y(6−y)2\frac{3y-1-y}{\left(6-y\right)^2}  

15.

Apskaičiuokite: x2x2+4+4x2+4\frac{x^2}{x^2+4}+\frac{4}{x^2+4}  

a)

1

b)

4

c)

x2+4(x2+4)2\frac{x^2+4}{\left(x^2+4\right)^2}  

d)

x+2x−2\frac{x+2}{x-2}  

16.

2xx−1+xx−1=\frac{2x}{x-1}+\frac{x}{x-1}=  

a)

2x2x−1\frac{2x^2}{x-1}  

b)

3xx−1\frac{3x}{x-1}  

c)

xx−1\frac{x}{x-1}  

d)

3x2x−1\frac{3x^2}{x-1}  

17.

3y−1y−2y+1y=\frac{3y-1}{y}-\frac{2y+1}{y}=  

a)

y−2y\frac{y-2}{y}  

b)

5y\frac{5}{y}  

c)

y+2y\frac{y+2}{y}  

d)

11  

18.

Sudėkite:

x+8x+3x\frac{x+8}{x}+\frac{3}{x}  

a)

11+x2x\frac{11+x}{2x}  

b)

x+11x2\frac{x+11}{x^2}  

c)

11x\frac{11}{x}  

d)

x+11x\frac{x+11}{x}  

19.

Subendravardiklinkite ir sudėkite:

x+33x+x+22x\frac{x+3}{3x}+\frac{x+2}{2x}  

a)

5x+126x\frac{5x+12}{6x}  

b)

2x+55x\frac{2x+5}{5x}  

c)

5x+126x2\frac{5x+12}{6x^2}  

d)

6x−125x\frac{6x-12}{5x}