Algebraik kasr. Kasrlarni qisqartirish — 8-sinf Algebra test savollari

1.$\frac{x^3-8}{x^2-4}$ kasrni qisqartiring.

• A)$\frac{x^2+2x+4}{x+2}$
• B)$\frac{x^2-2x+4}{x+2}$
• C)(x + 2)
• D)$\frac{x^2+2x+4}{x-2}$

2.$\frac{4x^2-4x+1}{2x^2-x}$ kasrni qisqartiring.

• A)$\frac{2x-1}{x}$
• B)$\frac{2x+1}{x}$
• C)2x − 1
• D)$\frac{2x-1}{2x}$

3.$\frac{a^2-b^2}{a^2+2ab+b^2}$ kasrni qisqartiring.

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

4.$\frac{9a^2-16b^2}{{\left(3a+4b\right)}^2}$ kasrni qisqartiring.

• A)$\frac{3a-4b}{3a+4b}$
• B)$\frac{3a+4b}{3a-4b}$
• C)3a − 4b
• D)$\frac{9a-16b}{3a+4b}$

5.5 / (a(a − 1)) algebraik kasr uchun a ning qanday qiymatlarida ifoda ma’noga ega bo‘lmaydi?

• A)a = 0 va a = 1
• B)a = 0 va a = −1
• C)faqat a = 1
• D)a ning barcha qiymatlarida ma’noga ega

6.$\frac{a^2-25}{a^2-10a+25}$ kasrni qisqartiring.

• A)$\frac{a+5}{a-5}$
• B)$\frac{a-5}{a+5}$
• C)a + 5
• D)$\frac{a+5}{a+5}$

7.$\frac{6a{b}^2}{9a^{2}b}$ kasrni qisqartiring.

• A)$\frac{2b}{3a}$
• B)$\frac{3a}{2b}$
• C)$\frac{2a}{3b}$
• D)$\frac{6b}{9a}$

8.$\frac{m^2-n^2}{3m+3n}$ kasrni qisqartiring.

• A)$\frac{m-n}{3}$
• B)$\frac{m+n}{3}$
• C)3(m − n)
• D)$\frac{m-n}{3n}$

9.Algebraik kasrning asosiy xossasiga ko‘ra a / b = ma / (mb) tenglik qachon o‘rinli bo‘ladi?

• A)b ≠ 0 va m ≠ 0 bo‘lganda
• B)faqat m ≠ 0 bo‘lganda
• C)faqat b ≠ 0 bo‘lganda
• D)a va b ning istalgan qiymatida

10.$12a^3\frac{b^2}{18a^{2}b}$ kasrni qisqartiring.

• A)2ab / 3
• B)3ab / 2
• C)$\frac{2a}{3b}$
• D)12ab / 18