题目内容
4x-0.4=9.4 | 0.6x+0.3×4=4.2 | 6×8-7x=2.5 | 4x+1.5x=4.4. |
分析:(1)根据等式的性质,两边同加上0.4,再同除以4即可;
(2)原式变为0.6x+1.2=4.2,根据等式的性质,两边同减去1.2,再同除以0.6即可;
(3)原式变为48-7x=2.5,根据等式的性质,两边同加上7x,得2.5+7x=48,两边同减去2.5,再同除以7即可;
(4)原式变为5.5x=4.4,根据等式的性质,两边同除以5.5即可.
(2)原式变为0.6x+1.2=4.2,根据等式的性质,两边同减去1.2,再同除以0.6即可;
(3)原式变为48-7x=2.5,根据等式的性质,两边同加上7x,得2.5+7x=48,两边同减去2.5,再同除以7即可;
(4)原式变为5.5x=4.4,根据等式的性质,两边同除以5.5即可.
解答:解:(1)4x-0.4=9.4,
4x-0.4+0.4=9.4+0.4,
4x=9.8,
4x÷4=9.8÷4,
x=2.45;
(2)0.6x+0.3×4=4.2,
0.6x+1.2=4.2,
0.6x+1.2-1.2=4.2-1.2,
0.6x=3,
0.6x÷0.6=3÷0.6,
x=5;
(3)6×8-7x=2.5,
48-7x=2.5,
48-7x+7x=2.5+7x,
2.5+7x=48,
2.5+7x-2.5=48-2.5,
7x=45.5,
7x÷7=45.5÷7,
x=6.5;
(4)4x+1.5x=4.4,
5.5x=4.4,
5.5x÷5.5=4.4÷5.5,
x=0.8.
4x-0.4+0.4=9.4+0.4,
4x=9.8,
4x÷4=9.8÷4,
x=2.45;
(2)0.6x+0.3×4=4.2,
0.6x+1.2=4.2,
0.6x+1.2-1.2=4.2-1.2,
0.6x=3,
0.6x÷0.6=3÷0.6,
x=5;
(3)6×8-7x=2.5,
48-7x=2.5,
48-7x+7x=2.5+7x,
2.5+7x=48,
2.5+7x-2.5=48-2.5,
7x=45.5,
7x÷7=45.5÷7,
x=6.5;
(4)4x+1.5x=4.4,
5.5x=4.4,
5.5x÷5.5=4.4÷5.5,
x=0.8.
点评:此题考查了运用等式的性质解方程,即等式两边同加上或同减去、同乘上或同除以一个数(0除外),两边仍相等,同时注意“=”上下要对齐.
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