Узагальнення. Цілі, дробові та ірраціональні вирази Quiz

22 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$\frac{4\times3^{32}\ +\ 9\times3^{30\ \ }}{9^{16}}$

4 * 3¹⁶

15

13

4*3¹⁴

5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

2(5х+6)=

10х+12

10х+6

7х+8

7х+12

5х+8

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Записати в порядку спадання числа 4³⁰; 3⁴⁰;2⁵⁰

2⁵⁰;4³⁰;3⁴⁰

3⁴⁰;4³⁰;2⁵⁰

2⁵⁰;3⁴⁰;4³⁰

4³⁰;3⁴⁰;2⁵⁰

3⁴⁰;2⁵⁰;4³⁰

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Обчислити: 21⁸ $\times$ 14^-7 $\times$ 6⁹ $\times$ 3^-16

$4\ \frac{2}{3}$

42

56

84

$9\ \frac{1}{3}$

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Визначити степінь многочлена: $3х^2\ -\ 9х^5\times2y^2z\ -\ x^2$

8

7

2

5

4

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Спростити вираз (3b-2a)(2a+3b)(9b² +4a²)

81b⁴+16a⁴

81b⁴-16a⁴

-81b⁴+16a⁴

9b⁴-2ab+a⁴

9b⁴-2ab-a⁴

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Указати значення, якого може набувати вираз a²+10a+25, якщо a $\in N$

1

49

16

25

48

8.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

$\left(\frac{1}{a+1}+\frac{1}{a}\right)\div\left(2a+1\right)=$

$\frac{1}{\left(2a+1\right)^2}$

$\frac{a\left(a+1\right)}{\left(2a+1\right)^2}$

$\frac{\left(2a+1\right)^2}{a\left(a+1\right)}^{ }$

a²+a

$\frac{1}{a^2+a}$

9.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

$a+\frac{81}{a-9}+9\ =$

$\frac{a-9}{a^2}$

$\frac{a^2}{a-9}$

$\frac{a+90}{a-9}$

$\frac{a-9}{a+90}$ $\frac{81}{a^2-81}$

10.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Якщо $y\ =\ \frac{x^2}{z}\ \left(x\ne0,\ z\ne0\right),\ то\ \frac{1}{x^2}=$

$\sqrt[]{zy}$

$\frac{z}{y}$

$\frac{y}{z}$

yz

$\frac{1}{yz}$

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Узагальнення. Цілі, дробові та ірраціональні вирази

4×332 + 9×330 916\frac{4\times3^{32}\ +\ 9\times3^{30\ \ }}{9^{16}}9164×332 + 9×330 ​

2(5х+6)=

Записати в порядку спадання числа 430; 340;250

Обчислити: 218 ×\times× 14-7 ×\times× 69 ×\times× 3-16

Визначити степінь многочлена: 3х2 − 9х5×2y2z − x23х^2\ -\ 9х^5\times2y^2z\ -\ x^23х2 − 9х5×2y2z − x2

Спростити вираз (3b-2a)(2a+3b)(9b2 +4a2)

Указати значення, якого може набувати вираз a2+10a+25, якщо a ∈N\in N∈N

(1a+1+1a)÷(2a+1)=\left(\frac{1}{a+1}+\frac{1}{a}\right)\div\left(2a+1\right)=(a+11​+a1​)÷(2a+1)=

a+81a−9+9 =a+\frac{81}{a-9}+9\ =a+a−981​+9 =

Якщо y = x2z (x≠0, z≠0), то 1x2=y\ =\ \frac{x^2}{z}\ \left(x\ne0,\ z\ne0\right),\ то\ \frac{1}{x^2}=y = zx2​ (x=0, z=0), то x21​=

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$\frac{4\times3^{32}\ +\ 9\times3^{30\ \ }}{9^{16}}$

Записати в порядку спадання числа 4³⁰; 3⁴⁰;2⁵⁰

Обчислити: 21⁸ $\times$ 14^-7 $\times$ 6⁹ $\times$ 3^-16

Визначити степінь многочлена: $3х^2\ -\ 9х^5\times2y^2z\ -\ x^2$

Спростити вираз (3b-2a)(2a+3b)(9b² +4a²)

Указати значення, якого може набувати вираз a²+10a+25, якщо a $\in N$

$\left(\frac{1}{a+1}+\frac{1}{a}\right)\div\left(2a+1\right)=$

$a+\frac{81}{a-9}+9\ =$

Якщо $y\ =\ \frac{x^2}{z}\ \left(x\ne0,\ z\ne0\right),\ то\ \frac{1}{x^2}=$