30道一元一次方程实战演练详解

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一元一次方程是初中数学中非常基础且重要的内容。下面,我将提供30道一元一次方程的实战演练题目,并附上解题步骤和答案。

题目1

解方程:2x + 3 = 11

解答

2x + 3 = 11

2x = 11 3

2x = 8

x = 8 / 2

x = 4

题目2

解方程:5(x 2) = 15

解答

5(x 2) = 15

x 2 = 15 / 5

x 2 = 3

x = 3 + 2

x = 5

题目3

解方程:3x 7 = 2x + 5

解答

3x 7 = 2x + 5

3x 2x = 5 + 7

x = 12

题目4

解方程:4(x + 1) 3x = 11

解答

4(x + 1) 3x = 11

4x + 4 3x = 11

x + 4 = 11

x = 11 4

x = 7

题目5

解方程:2(x 3) + 5 = 3x

解答

2(x 3) + 5 = 3x

2x 6 + 5 = 3x

2x 1 = 3x

-1 = x

题目6

解方程:5(x 1) 3(2x + 1) = 4

解答

5(x 1) 3(2x + 1) = 4

5x 5 6x 3 = 4

-x 8 = 4

-x = 4 + 8

-x = 12

x = -12

题目7

解方程:2(x + 3) 3(x 2) = 4

解答

2(x + 3) 3(x 2) = 4

2x + 6 3x + 6 = 4

-x + 12 = 4

-x = 4 12

-x = -8

x = 8

题目8

解方程:3(x 2) + 2(x + 1) = 7

解答

3(x 2) + 2(x + 1) = 7

3x 6 + 2x + 2 = 7

5x 4 = 7

5x = 7 + 4

5x = 11

x = 11 / 5

x = 2.2

题目9

解方程:4(x 1) = 3(x + 2)

解答

4(x 1) = 3(x + 2)

4x 4 = 3x + 6

4x 3x = 6 + 4

x = 10

题目10

解方程:2(x + 3) 5(x 1) = 3

解答

2(x + 3) 5(x 1) = 3

2x + 6 5x + 5 = 3

-3x + 11 = 3

-3x = 3 11

-3x = -8

x = -8 / -3

x = 8 / 3

题目11

解方程:5(x 2) + 3(x + 1) = 10

解答

5(x 2) + 3(x + 1) = 10

5x 10 + 3x + 3 = 10

8x 7 = 10

8x = 10 + 7

8x = 17

x = 17 / 8

x = 2.125

题目12

解方程:4(x 3) 2(x + 2) = 6

解答

4(x 3) 2(x + 2) = 6

4x 12 2x 4 = 6

2x 16 = 6

2x = 6 + 16

2x = 22

x = 22 / 2

x = 11

题目13

解方程:3(x + 4) = 2(x 1) + 5

解答

3(x + 4) = 2(x 1) + 5

3x + 12 = 2x 2 + 5

3x 2x = -2 + 5 12

x = -9

题目14

解方程:5(x 1) + 2(x + 3) = 3(x + 2) 4

解答

5(x 1) + 2(x + 3) = 3(x + 2) 4

5x 5 + 2x + 6 = 3x + 6 4

7x + 1 = 3x + 2

7x 3x = 2 1

4x = 1

x = 1 / 4

x = 0.25

题目15

解方程:2(x 3) 3(x + 2) = 4x 10

解答

2(x 3) 3(x + 2) = 4x 10

2x 6 3x 6 = 4x 10

x 12 = 4x 10

x 4x = -10 + 12

-5x = 2

x = 2 / -5

x = -0.4

题目16

解方程:3(x + 1) 2(x 2) = 5x 7

解答

3(x + 1) 2(x 2) = 5x 7

3x + 3 2x + 4 = 5x 7

x + 7 = 5x 7

7 + 7 = 5x x

14 = 4x

x = 14 / 4

x = 3.5

题目17

解方程:4(x 2) + 3(x + 1) = 2(x + 3) + 5

解答

4(x 2) + 3(x + 1) = 2(x + 3) + 5

4x 8 + 3x + 3 = 2x + 6 + 5

7x 5 = 2x + 11

7x 2x = 11 + 5

5x = 16

x = 16 / 5

x = 3.2

题目18

解方程:5(x 1) 2(x + 3) = 3(x + 2) 4

解答

5(x 1) 2(x + 3) = 3(x + 2) 4

5x 5 2x 6 = 3x + 6 4

3x 11 = 3x + 2

3x 3x = 2 + 11

0 = 13

题目19

解方程:2(x + 4) 3(x 1) = 4x 8

解答

2(x + 4) 3(x 1) = 4x 8

2x + 8 3x + 3 = 4x 8

-x + 11 = 4x 8

-x 4x = -8 11

-5x = -19

x = -19 / -5

x = 19 / 5

x = 3.8

题目20

解方程:3(x 2) + 2(x + 1) = 5(x + 3) 10

解答

3(x 2) + 2(x + 1) = 5(x + 3) 10

3x 6 + 2x + 2 = 5x + 15 10

5x 4 = 5x + 5

5x 5x = 5 + 4

0 = 9

题目21

解方程:4(x 3) 3(x + 2) = 2(x + 1) 5

解答

4(x 3) 3(x + 2) = 2(x + 1) 5

4x 12 3x 6 = 2x + 2 5

x 18 = 2x 3

x 2x = -3 + 18

-x = 15

x = -15

题目22

解方程:5(x 1) + 3(x + 2) = 4(x + 3) + 2

解答

5(x 1) + 3(x + 2) = 4(x + 3) + 2

5x 5 + 3x + 6 = 4x + 12 + 2

8x + 1 = 4x + 14

8x 4x = 14 1

4x = 13

x = 13 / 4

x = 3.25

题目23

解方程:2(x + 3) 4(x 1) = 3(x + 2) 6

解答

2(x + 3) 4(x 1) = 3(x + 2) 6

2x + 6 4x + 4 = 3x + 6 6

-2x + 10 = 3x

-2x 3x = -10

-5x = -10

x = -10 / -5

x = 2

题目24

解方程:3(x 2) + 2(x + 1) = 5(x + 3) 10

解答

3(x 2) + 2(x + 1) = 5(x + 3) 10

3x 6 + 2x + 2 = 5x + 15 10

5x 4 = 5x + 5

5x 5x = 5 + 4

0 = 9

题目25

解方程:4(x 3) 3(x + 2) = 2(x + 1) 5

解答

4(x 3) 3(x + 2) = 2(x + 1) 5

4x 12 3x 6 = 2x + 2 5

x 18 = 2x 3

x 2x = -3 + 18

-x = 15

x = -15

题目26

解方程:5(x 1) + 3(x + 2) = 4(x + 3) + 2

解答

5(x 1) + 3(x + 2) = 4(x + 3) + 2

5x 5 + 3x + 6 = 4x + 12 + 2

8x + 1 = 4x + 14

8x 4x = 14 1

4x = 13

x = 13 / 4

x = 3.25

题目27

解方程:2(x + 3) 4(x 1) = 3(x + 2) 6

解答

2(x + 3) 4(x 1) = 3(x + 2) 6

2x + 6 4x + 4 = 3x + 6 6

-2x + 10 = 3x

-2x 3x = -10

-5x = -10

x = -10 / -5

x = 2

题目28

解方程:3(x 2) + 2(x + 1) = 5(x + 3) 10

解答

3(x 2) + 2(x + 1) = 5(x + 3) 10

3x 6 + 2x + 2 = 5x + 15 10

5x 4 = 5x + 5

5x 5x = 5 + 4

0 = 9

题目29

解方程:4(x 3) 3(x + 2) = 2(x + 1) 5

解答

4(x 3) 3(x + 2) = 2(x + 1) 5

4x 12 3x 6 = 2x + 2 5

x 18 = 2x 3

x 2x = -3 + 18

-x = 15

x = -15

题目30

解方程:5(x 1) + 3(x + 2) = 4(x + 3) + 2

解答

5(x 1) + 3(x + 2) = 4(x + 3) + 2

5x 5 + 3x + 6 = 4x + 12 + 2

8x + 1 = 4x + 14

8x 4x = 14 1

4x = 13

x = 13 / 4

x = 3.25

以上是30道一元一次方程的实战演练题目及解答。希望这些题目能够帮助你巩固和提升解一元一次方程的能力。