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Математика 6 класс

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Решите уравнение: 3x - 5 = 10

a)

x = 2

b)

x = 5

c)

x = 7

d)

x = 3

2.

Найдите значение x в уравнении: 2x + 8 = 20

a)

x = 6

b)

x = 4

c)

x = 10

d)

x = 12

3.

Представьте уравнение 4x - 6 = 10 на числовой прямой

a)

x = 4

b)

x = 10

c)

x = -4

d)

x = 2

4.

Определите коэффициенты a и b в уравнении ax + b = 15

a)

a=2, b=13

b)

a=3, b=12

c)

a=5, b=10

d)

a=1, b=-15

5.

Примените операцию сложения для решения уравнения: 2x - 3 + 7 = 12

a)

x = 10

b)

x = 2

c)

x = -5

d)

x = 4

6.

Проверьте корректность решения уравнения: 5x - 10 = 15, x = 5

a)

The solution is incorrect. When x = 5, the equation becomes 5(5) - 10 = 15, which simplifies to 25 - 10 = 5, and 5 = 15. Therefore, the correct solution is x = 5.

b)

The solution is incorrect. When x = 5, the equation becomes 5(5) - 10 = 15, which simplifies to 25 - 10 = 15, and 15 = 15. Therefore, the correct solution is x = 5.

c)

The solution is incorrect. When x = 5, the equation becomes 5(5) - 10 = 15, which simplifies to 25 - 10 = 15, and 15 = 15. Therefore, the correct solution is x = 5.

d)

The solution is correct. x = 5 is the correct answer.

7.

Решите уравнение: 4x + 2 = 18

a)

x = 4

b)

x = 10

c)

x = 2

d)

x = 6

8.

Найдите значение x в уравнении: 3x - 7 = 8

a)

3

b)

5

c)

10

d)

2

9.

Представьте уравнение 5x - 3 = 12 на числовой прямой

a)

x = -5

b)

x = 7

c)

x = 3

d)

x = 10

10.

Определите коэффициенты a и b в уравнении ax + b = 20

a)

a = 10, b = 2

b)

a = 1, b = 20

c)

a = 5, b = 15

d)

a = 2, b = 10

11.

Примените операцию вычитания для решения уравнения: 3x + 5 - 4 = 14

a)

x = 5

b)

x = 7

c)

x = 2

d)

x = 10

12.

Проверьте корректность решения уравнения: 2x - 6 = 10, x = 8

a)

The solution is incorrect. When x = 8, the left-hand side of the equation becomes 2*8 - 6 = 16 - 6 = 10, which equals the right-hand side of the equation.

b)

The solution is incorrect. When x = 8, the left-hand side of the equation becomes 2*8 - 6 = 16 - 6 = 10, which does not equal the right-hand side of the equation.

c)

The solution is incorrect. When x = 8, the left-hand side of the equation becomes 2*8 - 6 = 16 - 6 = 10, which is less than the right-hand side of the equation.

d)

The solution is correct. When x = 8, the left-hand side of the equation becomes 2*8 - 6 = 16 - 6 = 10, which equals the right-hand side of the equation.

13.

Решите уравнение: 2x - 4 = 12

a)

x = 6

b)

x = 14

c)

x = 10

d)

x = 8

14.

Найдите значение x в уравнении: 4x + 6 = 26

a)

x = 8

b)

x = 10

c)

x = 3

d)

x = 5

15.

Представьте уравнение 6x - 8 = 16 на числовой прямой

a)

x = 4

b)

x = 6

c)

x = -2

d)

x = 10

16.

Определите коэффициенты a и b в уравнении ax + b = 25

a)

a = -1, b = 26

b)

a = 1, b = -25

c)

a = 2, b = -23

d)

a = 0, b = 25

17.

Примените операцию сложения для решения уравнения: 3x - 2 + 9 = 20

a)

x = 10

b)

x = 8

c)

x = 5

d)

x = 15

18.

Проверьте корректность решения уравнения: 4x - 5 = 15, x = 5

a)

The solution is incorrect. When x = 5, the equation becomes 4(5) - 5 = 15, which simplifies to 20 - 5 = 15, and 15 = 10. Therefore, the correct solution is x = 5.

b)

The solution is incorrect. When x = 5, the equation becomes 4(5) - 5 = 15, which simplifies to 20 - 5 = 15, and 15 = 20. Therefore, the correct solution is x = 5.

c)

The solution is incorrect. When x = 5, the equation becomes 4(5) - 5 = 15, which simplifies to 20 - 5 = 15, and 15 = 25. Therefore, the correct solution is x = 5.

d)

The solution is incorrect. When x = 5, the equation becomes 4(5) - 5 = 15, which simplifies to 20 - 5 = 15, and 15 = 15. Therefore, the correct solution is x = 5.

19.

Решите уравнение: 5x + 3 = 18

a)

x = 5

b)

x = 2

c)

x = 10

d)

x = 3

20.

Найдите значение x в уравнении: 2x - 7 = 11

a)

x = -4

b)

x = 5

c)

x = 12

d)

x = 9