Algebraik kasrlarni qo‘shish va ayirish — 8-sinf Algebra test savollari

1.$\frac{a}{a-b}+\frac{b}{a+b}-2$ab/(a² − b²) ifodani soddalashtiring.

• A)1
• B)0
• C)2
• D)$\frac{a-b}{a+b}$

2.$\frac{2x}{x-1}-\frac{x+1}{x-1}$ ifodani soddalashtiring.

• A)1
• B)x
• C)−1
• D)$\frac{x-1}{x+1}$

3.3/$\left(a\left(a-2\right)\right)+\frac{1}{a-2}-\frac{3}{a}$ ifodani bitta kasr shaklida yozing.

• A)(9 − 2a) / (a(a − 2))
• B)(2a − 9) / (a(a − 2))
• C)$\frac{9-2a}{a+2}$
• D)9 / (a(a − 2))

4.$\frac{a^2}{a+b}-\frac{b^2}{a+b}$ ifodani soddalashtiring.

• A)a − b
• B)a + b
• C)$\frac{{\left(a-b\right)}^2}{a+b}$
• D)a² − b²

5.$\frac{1}{a^3}+\frac{1}{2a^{2}b}+\frac{1}{3a{b}^2}$ kasrlarni umumiy maxrajga keltirib qo‘shing (maxraj 6a³b²).

• A)$\frac{6b^2+3ab+2a^{2}b}{6a^3{b}^2}$
• B)$\frac{6b^2+3ab+2a^2}{6a^3{b}^2}$
• C)$\frac{b^2+ab+a^{2}b}{a^3{b}^2}$
• D)$\frac{6b+3ab+2a^{2}b}{6a^3{b}^2}$

6.$\frac{a}{3b^{2}c}-\frac{c}{15a{b}^2}$ ifodani bitta kasr shaklida yozing.

• A)$\frac{5a^2-c^2}{15a{b}^{2}c}$
• B)$\frac{5a^2+c^2}{15a{b}^{2}c}$
• C)$\frac{a^2-c^2}{15a{b}^{2}c}$
• D)$\frac{5a-c}{15a{b}^{2}c}$

7.Har xil maxrajli algebraik kasrlarni qo‘shish yoki ayirish uchun avval nima qilinadi?

• A)kasrlar umumiy maxrajga keltiriladi
• B)kasrlar ko‘paytiriladi
• C)suratlar tenglashtiriladi
• D)maxrajlar ayiriladi

8.x/m − y/m ifodani soddalashtiring (m ≠ 0).

• A)$\frac{x-y}{m}$
• B)$\frac{x+y}{m}$
• C)x − y
• D)$\frac{y-x}{m}$

9.$\frac{a^2}{a+b}+\frac{b^2}{a+b}-2$ab/(a+b) ifodani soddalashtiring.

• A)$\frac{{\left(a-b\right)}^2}{a+b}$
• B)a − b
• C)(a + b)
• D)$\frac{{\left(a+b\right)}^2}{a+b}$

10.$\frac{3}{a+2}+\frac{2}{a+2}$ ifodani soddalashtiring.

• A)$\frac{5}{a+2}$
• B)$\frac{5}{2a+2}$
• C)$\frac{1}{a+2}$
• D)$\frac{6}{a+2}$