4x+0.4x=70.4?????????????????????????3x+90%×4=9x-40%x=42120%x-x=241-20%x=+20%x=1.

发布时间:2020-08-08 13:19:59

4x+0.4x=70.4?????????????????????????3x+90%×4=9x-40%x=42120%x-x=241-20%x=+20%x=1.

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解:(1)4x+0.4x=70.4,
?????????? 4.4x=70.4,
????? 4.4x÷4.4=70.4÷4.4,
????????????? x=16;

(2)3x+90%×4=9,
?????? 3x+3.6=9,
?? 3x+3.6-3.6=9-3.6,
?????????? 3x=5.4;
???? ???3÷3x=5.4÷3,
??????????? x=1.8;

(3)x-40%x=42,
??????0.6x=42,
?0.6x÷0.6=42÷0.6,
???????? x=70;

(4)120%x-x=24,
?????? 0.2x=24,
? 0.2x÷0.2=24÷0.2,
????????? x=120;

(5)1-20%x=,
??????0.2x=1-0.25,
????? 0.2x=0.75,
?0.2x÷0.2=0.75÷0.2,
???????? x=0.375;

?? (6)+20%x=1.
??? ?0.25+0.2x=1,
0.25+0.2x-0.25=1-0.25;
????????? 0.2x=0.75,
???? 0.2x÷0.2=0.75÷0.2,
???????????? x=3.75.
解析分析:(1)4x+0.4x=70.4,根据乘法分配律化简为:4.4x=70.4,两边同时除以4.4即可;
(2)3x+90%×4=9,把百分数化成小数,将方程化简为,3x+3.6=9,两边同时减3.6,然后两边同时除以3即可;
(3)x-40%x=42,把百分数化成小数,将方程化简为,0.6x=42,两边同时除以0.6即可;
(4)120%x-x=24,把百分数化成小数,将方程化简为,0.2x=24,两边同时除以0.2即可;
(5)1-20%x=,把百分数化成小数,将方程化简为,0.2x=1-0.25,两边同时除以0.2即可;
(6)+20%x=1.把百分数化成小数,将方程化简为,0.25+0.2x=1,两边同时减0.25,再把两边同时除以0.2即可.

点评:此题考查的目的是理解方程的意义,掌握利用等式的性质解方程的方法步骤.
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