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。