1、解方程.誉警寻吟中一 2) 一汩12解方程:13解方程:16.解方程(1) 3x - 2二4+5x17.解方程18.解方程19.解下列方程:(1) 5x=8+2 (x - 1) (2)4 620.解方程:2x- (x-3) =2守1年x+2 xl221解方程(1) 60 - 20 (x+1) =30 (x - 2) (2)22解方程(1) 6x+7=4x - 5 (2)2 623.解方程(1) 6 (2x - 5) +20=4 (1 - 2x) (2) 二 12 324解下列方程:5x=3(x-4)(2)】-号汶晋25解方程:(1) x - 2 (3x - 1) =6x (2)丄(x - 3)
2、 - 2二丄(2x+3) 4 626解方程:(1) lx - - - 2=0 (2) - 1=21 _ jc82 6 2 3 627解方程:(1) 2 (x - 1) -5 (2x - 3) =0 (2) 2x+_ 1=12&(1) 2x+3=12 - 3 (x - 3) (2)29解方程:(1) 3x+2x二5 (2)30解方程:(l)2(2x-3) -3x=3-3(x-l)(2) _1=131.解方程:(1) 5x - 2=7x+8 (2) x-色(1-上L)二丄.2 3 332.解下列方程:33解方程34解方程与计算.(1) 2 (x+3) = - 3 (x - 1) +2 (2) -
3、- x=3 -空34(3) ( -2) 4+ ( -4) X (1) 2 -(-1) 3 (4)(丄-1 .5)-(-1 )5126035.解下列方程:36.解下列方程:la - 6=|a+l哼3-警37解方程:38.解下列方程:(1) 4x+7=12x - 5; (2) 4y - 3 (5-y) =6;(4)2s-CL 3 _ a+O. 4 _0.5 0.3 39.解方程:(1)5+2x _ 10-3x_ (2) 1 5x _ 1. 5-x 53 2一 0.6 2 4.解方程:等-警=0.541.解下列方程: 3x-7(x-l)=3-2(x+3);竽-哼42解方程:(1) 5 (x - 2)
4、 - 2=2 (2+x) +x (2)。 1玄-4)-1 二0 2(4-2只)-0 1 0.2 0.343.解下列方程:44.解一元一次方程:(1) 3 (2x - 1)二4x+3; (2) zL=i4645解方程:(1) - x - 2=2x+l;(2)丄(x- 1) - x= - 0.5 (x - 1).46.解方程:(1) 4x=l+3x (2)47.解下列方程:(1) 4x+5= 3x+12;(2)y+2 2y-l厂二148解下列方程:(1)3 (x - 2) =x - (7 - 8x); (2) 2X11=2-邑工 4 349解下列方程:(1) 5x - 3=3x - 9(2) x+
5、1-l-.2x+l50.解方程:(1) 3x+7=2x - 5(2) 2 (x - 1) - 3 (2+x) =5;二.解答题(共50小题)(2)1(1-2x)=|(3x+1)(1) 0.5x - 0.7=6.5 - 1.3x2.解下列方程:(1) 6x 7=4x - 53.解方程(1) 12 (2 - 3x) =4+4x(1) 2 (3 - x) = - 4 (x+5)3+x5.解下列方程:6.解方程(2) x+1 _ 0. 2xT0.7(1) 3x - 7 (x - 1) =3 - 2 (x+3)7.解下列方程:(1) 8x - 7=2x+ll解方程:(1) 4x= - O.5x - 99
6、.解方程:(1) x丄(3x 2) =2 (5x)10解方程:(I ) 3 (x - 1)二2x+3解方程:(1) 10x - 3=7x+3(2)3x+2 2xl 2x+l2 T 5_12解方程:(1) 2 (x - 3) =5x13解下列方程(1) 4 - x=3 (2 - x);14.解方程:(1) 5 (x+8)-5=6 (2x - 7)15解方程:(1) 6x - 7=4 (x - 1) - 5 (2) i=r+216解方程17.解方程:20.解下列方程:(1) 2 (x+3) =5x21解方程:22解下列方程(1) 4 - x=3 (2 - x)23解方程:(1) 3x+4 - 5
7、(x+1) = - 1;24.解方程(1) 4x - 5二3x+2(2) x+2_2x+3 _ e-(3)2x - 3 (6 - x) =3x - 4 (5 - x)25解方程(1)5x+l二一9x+826解方程:(2) i(x+2)冷(x+3)(1) 4x - 2=3 - x(2) 2xl _2x+l1 厂二 327.解方程:(1) 5x 2= - 3 (x - 2)28解方程:(1) 3 (x+4) =5 - 2 (x - 1);29.解方程(1) 2 (t - 3) - (4t - 1) =2 - 4t2x+l10x+l=1(2) 2x+l _ 5xl(1) 5x - 2二2x+l;31
8、.解下列方程:(1) 2 (x+3) =5 (x-3)(2) 2x-l _4-3x乎32.解方程:(1) 3 (x-4) - 2 (3x+4)二 1533解方程:(1) 3 (x - 1) +2 (x+1)=-6 7=11?34.解方程:(1) 3 (x - 3) -2 (5x - 7)小);(2)2齐冒乌(1) 2x1_+i=23 2(2)0.2-0.5-1-636.解方程:(1) 5x=3x - 12o x+3_ 3-2x6 437.解方程:(1) 2x - 3= - 5 (x 2)a、x+1 -2+3x38.解方程:(1) 4x+3 (2x 一 3) =12 (x 1)39解方程:(1)
9、 3x+7二-2x - 340解方程:(1) 4x - 3 (5 - x) =6(2)氐+1-2x_1 -1641.解方程:(1) 2 (10 - 0.5y) = - (3y+4);4x+l(1) 4x - 6=2 (3x - 1)43.解方程:(1) - 3 (x+1) =9;25 1044 解方程:譬(2)空二7t2=_ x3 4(2) 1亠 x-2_3x+76(1) 2 (x+2) =1 (x+3)46.解方程; (1) 3 (x-4) +l=x - 548.解方程:(1) 2 (y+2) - 3 (4y - 1) =9 (1 - y);49.解下列方程:(1) 3x+4=x;50解方程
10、:(1) 2 (x - 2) +2=x+l3x-21Tx+4T一元一次方程计算300道参考答案与试题解析一.解答题(共 50 小题)1.【解答】解:(1) 2+x二-5x+5, x+5x=5 - 2, 6x=3, x二丄;(2) 2x5 (3 - 2x) =10x, 2x - 15+10x=10x, 2x+10x 10x=15, 2x=15, 2x二丄E 2.【解答】解:(1) 4x - 60+3x+4二0, 4x+3x=60 - 4, 7x=56, x=8; (2)2(2x+l) - (5x - 1)=6, 4x+2 - 5x+l=6, 4x - 5x=6 -2-1, - x=3, x= -
11、 3 3【角军答】解:(1) 2x - (x+10) =5x+2 (x - 1),去括号得 2x - x - 10=5x+2x - 2,移项 得2x - x - 5x - 2x=10 - 2合并同类项得-6x二8,系数化为1,得x= - 1;3x+ 二 3-, 18x+3 (x - 1) =18 - 2 ( 2x - 1), 18x+3x - 3=18 - 4x+2,2 318x+3x+4x=18+2+3, 25x=23, x=22; (3) 2汩兰 艾,4x+5 (x - 1)25 5 2 2 5=15 (x - 1) - 16x, 4x+5x - 5=15x - 15 - 16x, 4x+
12、5x - 15x+16x= - 15+5, 10x=-10, x=- 1; (4) 二 1一 I* _i,原方程可化为3 (x-4)4X 0.6 4 6-12x=2 (10 - x) - 12, 3x - 12 - 12x=20 - 2x - 12, 3x - 12x+2x=20 - 12+12,-7x=20, x二-空. 4.【解答】解:(1)去分母得:x - 2=4x+4,移项合并得:73x= - 6,解得:x= - 2; (2)去分母得:15x+5 - 8x+4= - 10,移项合并得:7x=-19,解得:x= - A1. 5.【解答】解:4 (2x - 1) - 3 (x+2)=-12
13、,去活号得:8x-4-3x-6=-12,移项合并得:5x= - 2,解得:x= - 2;方程整理得:A - ZZL=X -丄,去分母得:3x- (x-1) =6x-2,去括号得:3x 2 6 3-x+l=6x-2,移项合并得:-4x=-3,解得:x=l. 6.【解答】解:(1)去括 4号得:20-y=-1.5y-2,移项合并得:0.5y= - 22,解得:y= - 44; (2)去分母 得:x - 5=9 - 2x+10,移项合并得:3x=24,解得:x=8; (3)去分母得:3x+6- 12=6 - 4x,移项合并得:7x=12,解得:x=Al; (4)去括号得:x -丄x+1二丄x+丄x
14、7 9 3 9-1,去分母得:9x - x+9二3x+x - 9,移项合并得:4x= - 18,解得:x= - ; (5) 24x - 2 - 5x+15 =05x4-2,去分母得:12x - 6 - 5x - 15=1.5x+6,移项 3合并得:5.5x=27,解得:x二邑7.【解答】解:(1)2x 9=8x+l,2x 118x=l+9, - 10x=10, x= - 1; (2) 2x+L-2 (2x+l) - (5x - 1) =6, 4x+236-5x+l=6, 4x - 5x=6 - 2 - 1, - x=3, x= - 3 8【解答】解:(1) 3x+l=x - 7,移项,合并得2
15、x=-8,两边同除以2得x=-4; (2) - 4x+L=3x2_,去分2 2 4母,得 2 (7x - 1) - 2 (4x+l)二3x+2,去括号,得 14x - 2 - 8x - 2=3x+2,移项, 合并得3x=6,两边同除以3得x=29.【解答】解:去分母,得:6x-3 (x- 1) =2x+3 - 6,去括号,得:6x - 3x+3二2x+3 - 6,移项,得:6x - 3x - 2x=3 - 6 - 3,合并同类项,得:x=-6. 10.【解答】解:(1)原式二16宁(邑)-33-90.25= - 31;3 (3x - 1) - 12=2 (5x - 7)去括号得:9x - 10
16、x=15 14,解得:x= - 1. 11.【解答】解:(1)兰鱼二1 -上丝2 (x+3) =12 - 3 (3-2x),则 2x+6=12 - 9+6x,故 4x= _ 3 解得:x=2 (2) ?上(丄x - 2) - 6二 1 丄x43 4 5 5-2 - 8=1,则lx=ll,解得:x=55 12.【解答】解:(1) 5x+l=2x - 83x= - 8-1,解得:x= - 3; (2) 3 (x - 2) - 5 (3x+2) =2x+63x - 6 - 15x - 10=2x+6,移 项得:3x - 15x - 2x=6+6+10,解得:x二-旦;(3) -1=12 (5x -
17、1) - 37 3 2(3+x) =6,则 10x - 2 - 9 - 3x=6,解得:x=AL. 13.【解答】解:(1) 4x - 3=2 7(x - 1) 4x - 3=2x - 2,则 2x=l,解得:x二丄;(2) - 二 12 (x - 3) - (x2 5 10-4) =10,贝lj 2x - 6 - x+4=10,解得:x二 12. 14.【解答】解:(1) 6x+8 - 5x -5=36x - 5x=3+5 - 8x=0; (2) 2x - 3x - 1=6 - 3x+32x - 3x+3x=6+3+12x=10x=5 15.【解答】解:(1) 3 - 4x=2x - 21,
18、 - 4x - 2x= - 21 - 3, - 6x= - 24, x=4; (2) 空- 1=, 4 (2x - 1) - 12=3 (3+x), 8x - 4 - 12=9+3x, 8x - 3x二9+4+12,5x=25, x=5. 16.【解答】解:(1) 3x - 2=4+5x, 3x - 5x=4+2, - 2x=6, x= - 3;(2) 二 1xT , 3 (x - 2) =6 - 2 (2x - 1), 3x - 6=6 - 4x+2, 3x+4x=6+2+6, 2 37x=14, x=2. 17.【解答】解:(1) 2x 4 - 8x+8二3 - 3x2x 8x+3x=3+
19、4 8 - 3x=-lx二丄;(2)2 (5x+l) - 6=2x - 110x+2 - 6=2x - 110x - 2x= - 1+6 - 28x=3x=-3 818.【解答】解:(1) 5y+40 - 5=12y - 4212y - 5y=42+40 - 57y=77y=ll (2) 4 (7x -1) - 6 (5x+l) =24 - 3 (3x+2) 28x - 4 - 30x - 6=24 - 9x - 628x - 30x+9x二24 - 6+4+67x=28x=4 19.【解答】解:(1) 5x=8+2x - 2, 5x 2x=6, 3x=6 x=2, 解:(2) 36x - 3
20、 (3x - 1) =2x, 36x - 9x+3=2x 36x - 9x - 2x= - 3, 25x= - 3x二-丄2520.【解答】解:(1) 2x- (x - 3) =2, 2x - x+3=2, 2x - x=2 - 3, x= - 1; (2) 空二L二 1丿匚2, 4(2x - 1)=12 3(x 2), 8x 4二 12 - 3x+6, 8x+3x=12+6+4, llx=22,x=2. 21.【解答】解:(1) 60 - 20 (x+1) =30 (x - 2) 60 20x - 20=30x - 60,-20x - 30x= - 60 - 60+20, - 50x= -
21、100, x=2; (2) 二2 (x+2) =6-3 (x - 1), 2x+4二6-3x+3, 2x+3x二6+3 - 4, 5x=5, x二 1 22.【解答】解:6x+7=4x - 5, 6x - 4x= - 5 - 7, 2x= - 12, x= - 6; (2) 2j_ 3 (x+1)-(2 - 3x) =6, 3x+3 - 2+3x=6, 6x=5, x二邑 23.【解答】解:(1) 6 (2x - 5)+20=4 (1 - 2x), 12x - 30+20=4 - 8x, 12x+8x=4+30 - 20, 20x=14, x二工;10 2-空空二 1, 3 (x - 1) -
22、 2 (2x - 3) =6, 3x - 3 - 4x+6二6, - x=3, x= - 3. 24.【解(1) 5x=3 (x - 4), 5x=3x - 12, 5x - 3x= - 12, 2x= - 12, x= - 6: (2) 1-6 - 2 (x - 1) =6x - (x+6), 6 - 2x+2=6x - x - 6, - 2x - 6x+x=- 3 66-6-2, - 7x= - 14, x=2 25.【解答】解:(1) x - 2 (3x - 1) =6x, x - 6x+2=6x,x - 6x - 6x= - 2, - llx= - 2, x=; (2) (x3) -
23、2= (2x+3), 3 (x - 3)11 4 6-24=2 (2x+3), 3x - 9 - 24=4x+6, 3x - 4x=6+9+24, - x=39, x= - 39. 26.【解(1)丄x-矢-2二0,去分母,得3x- (9x-2) - 12=0,去括号,得 3x - 9x+2 - 12=0,移项,得 3x - 9x= - 2+12,合并同类项,得-6x70, 系数化为1,得 x=-A; (2)辽里迅,去分母,得3 (x-2)3 2 3 66=2 (x+1)(x+8),去括号,得 3x - 66二2x+2x8,移项,得 3x 2x+x=2 - 8+6+6,合并同类项,得2x=6,
24、系数化为1,得x二327.【解答】解:(1)去括号得:2x-2-10x+15=0,移项合并得:-8x= - 13,解得:x二旦;去分母得:6x+3 - 6=2x - 2,移项合并得:4x7,解得:x=l. 2&【解答】解:(1)去括号得:2x+3=12 - 3x+9,移项合并得:5x=18,解得:x=3.6; (2)去分 母得:9x - 6=24 - 8x+4,移项合并得:17x=34,解得:x=2. 29.【解答】解:(1)合并同类项,得:5x=5,系数化为1,得:x=l; (2)去分母,得:3 (x+1) +2 (x2) =6,去括号,得:3x+3+2x4二6,移项,得:3x+2x=63+
25、4,合并同 类项,得:5x=7,系数化为1,得:x=l. 30.【解答】解:(1) 2 (2x-3)-3x=3 - 3 (x - 1), 4x - 6 - 3x=3 - 3x+3, 4x - 3x+3x=3+3+6, 4x=12, x=3;_x _2x+l, 3 (x 3) - 6=2 (2x+l), 3x 9 - 6二4x+2, 3x - 4x=2+9+6, - x=17,x= 17. 31【解答】ft?: (1) 5x - 7x=8+2 2x=10x= - 5 (2) 6x 9 3 (3 x)=26x - 9 - 9+3x二26x+3x二2+9+99x=20x二竺 32.【解答】解:(l)
26、3x - x=7 - 3, 2x=4,x=2; (2) 5x - 25 - 2x - 2=3, 5x - 2x=3+25+2, 3x=30, x=10; (3) 4 (2y - 1) =3 (y+2) - 12, 8y-4=3y+6- 12, 8y - 3y=6 - 12+4, 5y= - 2, y二 - 2 33.【解(1) 4x - 2x=7 - 3, 2x=4, x=2; (2) - 2x+2二4, - 2x=4 - 2, - 2x=2, x= -1; (3) 3 (3 - x) =2 (x+4), 9 3x=2x+8, 一 3x - 2x=8 - 9, - 5x= - 1, x二丄;(
27、4) 2 (7x -1) - 3 (5x+l) =12, 14x 2 - 15x 3二 12, 14x - 15x=12+2+3,- x=17, x= - 27 34.【解答】解:(1) 2 (x+3) = - 3 (x - 1) +2,去括号得:2x+6二- 3x+3+2,移项合并得:5x= - 1,解得:x二-丄;(2)去分母得:4 - 4x -12=36 - 3x - 6,移项合并得:-X二38,解得:x= - 38; (3)原式=16 - 1+1=16;(4)原式二(丄-丄-上-)X ( - 60) = - 12+30+25=43. 35.【解答】解:52 12去括号得:4x+3=12 - x+6,移项合并得:5x=15,解得:x=3;9y+3二24 8y+4,移项合并得:17y=25,解得:y二彳|36.【解答】解: 2a - 24=3a+4,
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