以下是100道简易解方程题的整理及示例,涵盖一元一次方程、应用题等类型:
一、基础方程练习
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2x + 1 = 9
解:2x = 8 → x = 4
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3(x - 1) = 12
解:x - 1 = 4 → x = 5
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4x - 10 = 6
解:4x = 16 → x = 4
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5(x + 3) = 40
解:x + 3 = 8 → x = 5
二、应用题类型
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一个数的8倍比5倍多24,求这个数
设数为x:8x - 5x = 24 → 3x = 24 → x = 8
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6x + 2.5×4 = 25
解:6x + 10 = 25 → 6x = 15 → x = 2.5
三、含括号方程
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2(a - 3) + 5 = 13
解:2a - 6 + 5 = 13 → 2a - 1 = 13 → 2a = 14 → a = 7
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4(z + 2) = 24
解:4z + 8 = 24 → 4z = 16 → z = 4
四、分数与百分数方程
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0.5 + 50%x = 3
解:0.5 + 0.5x = 3 → 0.5x = 2.5 → x = 5
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60%x + 25 = 40
解:0.6x + 25 = 40 → 0.6x = 15 → x = 25
五、方程组练习
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5x + 4x - 7.9 = 2.94
解:9x = 10.84 → x ≈ 1.2
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x÷0.25 + 15.5 = 22.57
解:4x = 7.07 → x ≈ 1.77
六、综合应用题
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甲乙两数和为4m,乙是甲的3倍,求甲、乙
设甲为x,则乙为3x:x + 3x = 4m → 4x = 4m → x = m,乙 = 3m
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两种水果单价均为5a元,小芳买2千克和3千克共花
总价:2×5a + 3×5a = 25a元
说明 :以上题目均基于一元一次方程及简单应用题,适合初中生练习。高权威性来源(如道客巴巴、人教版)的题目可参考其完整解答过程。