以下是解比例和解方程的练习题及答案整理:
一、解方程练习题及答案
-
2x + 5 = 17
解:2x = 12 → x = 6
-
3(x - 4) = 15
解:3x - 12 = 15 → 3x = 27 → x = 9
-
6x - 8 = 4x + 10
解:2x = 18 → x = 9
-
2(x + 3) - 5(x - 1) = 12
解:2x + 6 - 5x + 5 = 12 → -3x = 1 → x = -1/3
-
3x - 7 = 2(x + 3) - 5
解:3x - 7 = 2x + 1 → x = 8
二、解比例练习题及答案
-
2:5 = 6:x
解:2x = 30 → x = 15
-
4:9 = 12:x
解:4x = 108 → x = 27
-
3:5 = 9:x + 1
解:3(x + 1) = 45 → x = 14
-
5x:2 = 20:8
解:40x = 40 → x = 1
-
2:3 = x + 1:x + 2
解:2(x + 2) = 3(x + 1) → x = 1
三、其他典型题目
-
比例方程 :如
x:8 = 3:4
,解得x = 6
-
含括号的比例方程 :如
(4.5 - x):0.6 = (10 + x):2
,解得x = 1.5
注意 :解比例方程时需利用“外项积等于内项积”的性质,例如 a:b = c:d
可转化为 ad = bc
。