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Алгебраические дроби

Authored by Наталья Клюшникова

Mathematics

6th - 8th Grade

Used 1+ times

Алгебраические дроби
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Как умножить алгебраические дроби? Приведите пример.

Example: (8x^3 + 10x^2 + 12x^2 + 15x) / (3x^3 + x^2 + 6x^2 + 2x) = 8x^3 + 22x^2 + 15x

Example: (2x^2 + 3x) * (4x + 5) / (x^2 + 2x) * (3x + 1) = (8x^3 + 10x^2 + 12x^2 + 15x) / (3x^3 + x^2 + 6x^2 + 2x) = (8x^3 + 22x^2 + 15x) / (3x^3 + 7x^2 + 2x)

Example: (2x^2 + 3x) / (x^2 + 2x) = 2x + 3

Example: (4x + 5) / (3x + 1) = 4x + 5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Как сложить или вычесть алгебраические дроби? Предоставьте пример.

The correct answer is (4x^2 + 3x - 1)/(x^3 - x)

The correct answer is (3x^2 + 2x - 1)/(x^3 - x)

The correct answer is (6x^2 + 5x - 1)/(x^3 - x)

The correct answer is (5x^2 + 4x - 1)/(x^3 - x)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Как упростить алгебраические дроби? Дайте пример.

Пример: (2x^2 + 3x) / (x^2 + 2x) = 2x - 3 / x - 2

Пример: (2x^2 + 3x) / (x^2 + 2x) = 2x + 3 / x - 2

Пример: (2x^2 + 3x) / (x^2 + 2x) = 2x + 3 / x + 2

Пример: (2x^2 + 3x) / (x^2 + 2x) = 2x - 3 / x + 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Как делить алгебраические дроби? Предоставьте пример.

(3x^2 + 5x) / (2x) - (x^2 + 3) / (4)

(3x^2 + 5x) / (2x) + (x^2 + 3) / (4)

Example: (3x^2 + 5x) / (2x) ÷ (x^2 + 3) / (4)

(3x^2 + 5x) / (2x) * (x^2 + 3) / (4)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Решите уравнение: (3x + 2) / (x^2 - 1) = 5 / (x - 1)

x = -1

x = 4

x = 2

x = 3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Упростите выражение: (2x^2 + 3x - 5) / (x^2 - 4)

(2x - 1) / (x + 2)

(2x + 3) / (x^2 - 4)

(2x + 1) / (x - 2)

(2x - 2) / (x + 2)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Сложите дроби: (x^2 + 3x + 2) / (x + 2) + (2x - 1) / (x + 1)

(x^2 + 5x + 2) / (x^2 + 3x + 2)

(x^2 + 5x + 2) / (x + 1)

(x^2 + 3x + 2) / (x + 1)

(2x - 1) / (x + 2)

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