Kasr-ratsional ifodalarni ayniy almashtirish — 8-sinf Algebra test savollari

1.R(x,y) = [$\frac{1}{x}-1$/$\left(\frac{6}{x}-\frac{6}{xy}+\frac{12}{y}\right)$] $-\frac{xy}{2x+y+1}$ turidagi kasr-ratsional ifodalarni soddalashtirishda qaysi amallar ketma-ketligi qo‘llaniladi?

• A)umumiy maxrajga keltirish, qo‘shish/ayirish, so‘ng ko‘paytirish yoki bo‘lish
• B)faqat qisqartirish
• C)faqat ko‘paytirish
• D)faqat maxrajlarni tenglashtirish

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

• A)a(a + 2) / (2(a − 1)(a + 1))
• B)a / (2(a-1))
• C)1/(2(a-1))
• D)(a + 2) / (2(a − 1))

3.Kasr-ratsional ifoda deb qanday ifodaga aytiladi?

• A)arifmetik amallar bilan birlashtirilgan bir nechta algebraik kasrlardan tuzilgan ifodaga
• B)faqat bitta algebraik kasrga
• C)faqat butun ko‘phaddan iborat ifodaga
• D)faqat sonli ifodaga

4.Kasr-ratsional ifodaning maxraji qanday shartni qanoatlantirishi shart?

• A)nolga teng bo‘lmasligi kerak
• B)musbat bo‘lishi kerak
• C)manfiy bo‘lishi kerak
• D)butun son bo‘lishi kerak

5.$\left(\frac{2}{x}-3\right):\frac{4-6x}{x}$ ifodani soddalashtiring $\left(x\ne 0,x\ne \frac{2}{3}\right)$.

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

6.$\left(\frac{1}{a}+\frac{1}{b}\right):\left(\frac{1}{a}-\frac{1}{b}\right)$ ifodani soddalashtiring.

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

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

• A)x(x² + 1) / (x² − 1)
• B)$\frac{x}{x-1}$
• C)$\frac{x^2}{x+1}$
• D)$\frac{x+1}{x-1}$

8.Kasr-ratsional ifodani soddalashtirishda oxirgi bosqichda odatda nima bajariladi?

• A)hosil bo‘lgan kasr qisqartiriladi
• B)kasr ko‘paytiriladi
• C)kasr kvadratga oshiriladi
• D)kasr maxraji nolga tenglashtiriladi

9.$2+\frac{1}{x}$ ifodani bitta kasr shaklida yozing (x ≠ 0).

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

10.$3-\frac{2}{a}$ ifodani bitta kasr shaklida yozing (a ≠ 0).

• A)$\frac{3a-2}{a}$
• B)$\frac{3-2a}{a}$
• C)$\frac{2-3a}{a}$
• D)$\frac{3}{a}-2$