整数方程专项练习166题.docx
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整数方程专项练习166题
整数方程专项练习166题(有答案)
(1)48x+x=98,
(2)3x÷7=120,
(3)15x﹣5+x=43,
(4)2x+5=5x﹣7,
(5)3(x﹣2)=2﹣5(x﹣2),
(6)4x﹣3(20﹣x)+4=0,
(7)4x+2(8﹣x)=26,
(8)7x﹣5x=2+12,
(9)3x+7=32﹣2x,
(10)2(x+2)﹣3=3x﹣5,
(11) 8(x﹣2)=2x+8,
(12)3×(2x+7)=45,
(13)164÷2+83=11x,
(14)56+28﹣x=12,
(15)8X+20X=84,
(16)20﹣5x=5,
(17)7+2x﹣9=0,
(18)13x﹣9×5=20,
(19)3x﹣5=11﹣x,
(20)3x﹣5=x+1,
(21)3(x﹣5)=123,
(22)3x﹣16×4=119,
(23)3(x﹣12)+23=35
(24)7x+20=83,
(25)7x+10÷2=19,
(26)3x÷12=75,
(27)4x﹣3(20﹣x)=5x
(28)4x+2(79﹣x)=192,
(29)3204=450+5X+X,
(30)(5+x)+x=98÷2,
(31)76(x﹣2)=52x﹣32
(32)3(x﹣12)=2(x﹣4)
(33)3(x+2)=4(x+1),
(34)4(x﹣9)=8
(35)8x﹣(5﹣2x)=45
(36)6000﹣x=3085,
(37)29×x=2958,
(38)41600÷x=320,
(39)18﹣3x=54÷18,
(40)(x+5)÷2=108
(41)4x﹣12=3×8,
(42)23+4x=71
(43)3x÷4=30
(44)91﹣5x=36
(45)3x+2x=25
(46)24﹣3x=18
(47)8x+2×5=26
(48)6x+4x=160
(49)6x﹣12=108
(50)9x+5x=8.4
(51)5x﹣25=5
(52)10x﹣8x=2
(53)2x+23×4=134
(54)3x+x+6=26
(55)X÷109=27+23
(56)(569+4827)÷X=284
(57)100×(X+100)=12000
(58)x﹣72=25×5
(59)38+5x=243
(60)3(5x﹣4)=48
(61)3x+24=5x﹣12
(62)910÷x=13,
(63)36x÷16=18,
(64)40x﹣23x=105,
(65)532﹣x=196,
(66)x÷62=438,
(67)74×x=9102,
(68)x+634=856,
(69)8x﹣3x=155,
(70)30×(x÷4)=60,
(71)72×5﹣3x=12,
(72)x+175=366
(73)2000﹣x=1384
(74)x÷14=250
(75)45×x=4680
(76)x×39=200+34
(77)3780÷x=18
(78)532﹣x=196
(79)x÷62=48
(80)74×x=2812
(81)4x﹣3×9=29,
(82)13(x+5)=169,
(83)4x﹣6=30
(84)4x﹣2x=48
(85)5x÷9=25
(86)2y+3y+60=145
(87)16x÷2=128
(88)6x+180=330
(89)13x+7=150
(90)200÷5x=40
(91)4×(3x+6)=48,
(92)5×(x+24)=255,
(93)(x﹣12)÷4=4.5,
(94)45x+x=368,
(95)454﹣2x=226
(96)20×3﹣x=40
(97)(52+34)×x=5590
(98)x÷43=508
(99)x﹣4.3=9.08
(100)488÷x=61
(101)6x﹣35=13
(102)38﹣12+x=54
(103)34x﹣48=268,
(104)13(X+5)=169,
(105)8×4﹣3x=2,
(106)5x﹣2x=9.6,
(107)25x÷2=100,
(108)32x+61x=154,
(109)3x+(25+15)=1600,
(110)3x﹣7=62
(111)4x﹣4×25=80
(112)(x+3)÷2=6
(113)19﹣2X=5,
(114)2X+23×4=134,
(115)9X﹣45=135,
(116)X﹣34=200,
(117)6X+7X=650,
(118)14×70﹣5X=800,
(119)44+X=52
(120)91﹣X=46,
(121)X﹣16=77,
(122)X×29=348,
(123)35×X=210,
(124)X÷327=9,
(125)8640÷X=320,
(126)840×X=840,
(127)420+X×5=1670,
(128)1224÷X+109=211,
(129)5x÷21=30
(130)10+9x=199
(131)5(x+5)=355
(132)6x+15=51,
(133)3(x﹣8)=27,
(134)x÷28=82,
(135)14x﹣7x=56,
(136)7χ﹣2×9=80,
(137)7+5χ=42,
(138)264+3x=363
(139)3x+2x=65
(140)2x﹣5×2=8
(141)534+x=3060
(142)46+3x=133
(143)7x÷4=21
(144)3x+9=15
(145)x÷12=6
(146)136﹣x=60
(147)x×34=2924,
(148)186×x=2604,
(149)x+723=1280,
(150)8670÷x=15,
(151)x÷28=147,
(152)7083﹣x=3465,
(153)3x+5=20,
(154)40x+20x=120,
(155)40﹣5x=30,
(156)7x﹣50=160
(157)32+17﹣x=40
(158)8x÷4=40
(159)91﹣5x=36
(160)8(2X﹣7)=5(X+13),
(161)3(x+4.5)=60,
(162)X÷11=3,
(163)13(X+5)=169,
(164)4X﹣9×7=342,
(165)2X﹣97=342,
(166)4x﹣5×6=12,
参考答案:
(1)48x+1x=98,
49x=98,
49x=98÷49,
x=2;
(2)3x÷7=120,
3x÷7×7=120×7,
3x=840,
3x÷3=840÷3,
x=280,
(3)15x﹣5+x=43,
16x﹣5=43,
16x﹣5+5=43+5,
16x=48,
x=3.
(4)2x+5=5x﹣7,
2x+5﹣2x=5x﹣7﹣2x,
3x﹣7=5,
3x﹣7+7=5+7,
3x=12,
3x÷3=12÷3,
x=4;
(5)3(x﹣2)=2﹣5(x﹣2),
3x﹣6=12﹣5x,
3x﹣6+5x=12﹣5x+5x,
8x﹣6=12,
8x﹣6+6=12+6,
8x=18,
8x÷8=18÷8,
x=2.25;
(6)4x﹣3(20﹣x)+4=0,
7x﹣56=0,
7x﹣56+56=0+56,
7x=56,
7x÷7=56÷7,
x=8;
(7)4x+2(8﹣x)=26,
2x+16=26,
2x+16﹣16=26﹣16,
2x=10,
2x÷2=10÷2,
x=5.
(8)7x﹣5x=2+12,
2x=14,
x=7;
(9)3x+7=32﹣2x,
3x+2x=32﹣7,
5x=25,
x=5
(10)2(x+2)﹣3=3x﹣5,
2x+4﹣3=3x﹣5,
2x+1+5=3x﹣5+5,
2x+6=3x,
2x+6﹣2x=3x﹣2x,
x=6
(11) 8(x﹣2)=2x+8,
8x﹣16+16=2x+8+16,
8x=2x+24,
8x﹣2x=2x+24﹣2x,
6x=24,
6x÷6=24÷6,
x=4
(12)3×(2x+7)=45,
3×(2x+7)÷3=45÷3,
2x+7﹣7=15﹣7,
2x÷2=8÷2,
x=4
(13)164÷2+83=11x,
11x=165,
11x÷11=165÷11,
x=15;
(14)56+28﹣x=12,
84﹣x=12,
84﹣x+x=12+x,
12+x=84,
12+x﹣12=84﹣12,
x=72
(15)8X+20X=84,
x(8+20)=84,
28x=84,
28x÷28=84÷28,
x=3;
(16)20﹣5x=5,
20﹣5x+5x=5+5x,
5+5x=20,
5+5x﹣5=20﹣5,
5x=15,
5x÷5=15÷5,
x=3
(17)7+2x﹣9=0,
7+2x﹣9+9=0+9,
7+2x=9,
7+2x﹣7=9﹣7,
2x=2,
2x÷2=2÷2,
x=1;
(18)13x﹣9×5=20,
13x﹣45=20,
13x﹣45+45=20+45,
13x=65,
13x÷13=65÷13,
x=5
(19)3x﹣5=11﹣x,
3x﹣5+x=11﹣x+x,
4x﹣5+5=11+5﹣x,
4x÷4=16÷4,
x=4
(20)3x﹣5=x+1,
3x﹣5﹣x=x+1﹣x,
2x﹣5=1,
2x﹣5+5=1+5,
2x=6,
2x÷2=6÷2,
x=3;
(21)3(x﹣5)=123,
3(x﹣5)÷3=123÷3,
x﹣5=41,
x﹣5+5=41+5,
x=46
(22)3x﹣16×4=119,
3x﹣64=119,
3x﹣64+64=119+64,
3x=183,
3x÷3=183÷3,
x=61;
(23)3(x﹣12)+23=35
3x﹣36+23=35
3x﹣13=35
3x﹣13+13=35+13
3x=48
3x÷3=48÷3
x=16
(24)7x+20=83,
7x+20﹣20=83﹣20,
7x=63,
7x÷7=63÷7,
x=9;
(25)7x+10÷2=19,
7x+5=19,
7x+5﹣5=19﹣5,
7x÷7=14÷7,
x=2;
(26)3x÷12=75,
3x=75×12,
3x÷3=900÷3,
x=300;
(27)4x﹣3(20﹣x)=5x
4x﹣60+3x=5x
7x﹣60=5x
7x﹣60﹣5x=5x﹣5x
2x﹣60=0
2x=60
x=30
(28)4x+2(79﹣x)=192,
4x+158﹣2x=192,
2x+158=192,
2x+158﹣158=192﹣158,
2x÷2=34÷2,
x=17.
(29)3204=450+5X+X,
3204=450+6X,
3204﹣450=450+6X﹣450,
2754÷6=6X÷6,
X=459;
(30)(5+x)+x=98÷2,
5+2x=49,
5+2x﹣5=4.9﹣5,
2x÷2=44÷2,
x=22
(31)76(x﹣2)=52x﹣32
76x﹣152=52x﹣32
76x﹣152+152=52x﹣32+152
76x=52x+120
76x﹣52x=52x+120﹣52x
24x=120
24x÷24=120÷24
x=5
(32)3(x﹣12)=2(x﹣4)
3x﹣36=2x﹣8
3x﹣36+36=2x﹣8+36
3x=2x+28
3x﹣2x=2x+28﹣2x
x=28
(33)3(x+2)=4(x+1),
3x+6=4x+4,
3x+6﹣3x=4x+4﹣3x,
x+4=6,
x+4﹣4=6﹣4,
x=2
(34)4(x﹣9)=8
4(x﹣9)÷4=8÷4
x﹣9=2
x﹣9+9=2+9
x=11
(35)8x﹣(5﹣2x)=45
8x﹣5+2x=45
10x﹣5+5=45+5
10x÷10=50÷10
x=5
(36)6000﹣x=3085,
6000﹣x+x=3085+x,
3085+x=6000,
3085+x﹣3085=6000﹣3085,
x=2915;
(37)29×x=2958,
29×x÷29=2958÷29,
x=102;
(38)41600÷x=320,
41600÷x×x=320×x,
320x=41600,
320x÷320=41600÷320,
x=130
(39)18﹣3x=54÷18,
18﹣3x=3,
18﹣3x+3x=3+3x,
3+3x=18,
3+3x﹣3=18﹣3,
3x=15,
3x÷3=15÷3,
x=5;
(40)(x+5)÷2=108
(x+5)÷2×2=108×2,
x+5=216,
x+5﹣5=216﹣5,
x=211;
(41)4x﹣12=3×8,
4x﹣12+12=3×8+12,
4x=36,
4x÷5=36÷4,
x=9
(42)23+4x=71
23+4x﹣23=71﹣23
4x÷4=48÷4
x=12
(43)3x÷4=30
3x÷4×4÷3=30×4÷3
x=40
(44)91﹣5x=36
91﹣5x+5x﹣36=36﹣36+5x
5x÷5=55÷5
x=11
(45)3x+2x=25
5x=25
5x÷5=25÷5
x=5
(46)24﹣3x=18
24﹣3x+3x=18+3x
18+3x=24
18+3x﹣18=24﹣18
3x=6
3x÷3=6÷3
x=2
(47)8x+2×5=26
8x+10=26
8x+10﹣10=26﹣10
8x=16
8x÷8=16÷8
x=2
(48)6x+4x=160
10x=160
10x÷10=160÷10
x=16
(49)6x﹣12=108
6x+12﹣12=108+12
6x=120
6x÷6=120÷6
x=20
(50)9x+5x=8.4
14x=8.4
14x÷14=8.4÷14
x=0.6
(51)5x﹣25=5
5x+25﹣25=5+25
5x=30
5x÷2.5=30÷5
x=6
(52)10x﹣8x=2
2x=2
2x÷2=2÷2
x=1
(53)2x+23×4=134
2x+92=134
2x+92﹣92=134﹣92
2x=42
2x÷2=42÷2
x=21
(54)3x+x+6=26
4x+6﹣6=26﹣6
4x=20
4x÷4=20÷4
x=5
(55)X÷109=27+23
X÷109=50
X÷109×109=50×109
X=5450;
(56)(569+4827)÷X=284
5396÷X=284
5396÷X×X=284×X
284X=5396
284X÷284=5396÷284
X=19;
(57)100×(X+100)=12000
100×(X+100)÷100=12000÷100
X+100=12
X+100﹣100=120﹣100
X=20
(58)x﹣72=25×5
x﹣72=125
x﹣72+72=125+72
x=197
(59)38+5x=243
38+5x﹣38=243﹣38
5x÷5=205÷5
x=41
(60)3(5x﹣4)=48
15x﹣12=48
15x﹣12+12=48+12
15x=60
15x÷15=60÷15
x=4;
(61)3x+24=5x﹣12
3x+24﹣3x=5x﹣12﹣3x
2x﹣12=24
2x﹣12+12=24+12
2x=36
2x÷2=36÷2
x=18
(62)910÷x=13,
x=910÷13,
x=70;
(63)36x÷16=18,
36x÷16×16=18×16,
36x=288,
36x÷36=288÷36,
x=8;
(64)40x﹣23x=105,
17x=105,
17x÷17=105÷17,
x=5;
(65)532﹣x=196,
532﹣x+x=196+x,
196+x=532,
196+x﹣196=532﹣196,
x=336;
(66)x÷62=438,
x÷62×62=438×62,
x=27156;
(67)74×x=9102,
74×x÷74=9102÷74,
x=23;
(68)x+634=856,
x+634﹣634=856﹣634,
x=222
(1)4x﹣5×6=12,
4x﹣30=12,
4x﹣30+30=12+30,
4x=42,
4x÷4=42÷4,
x=10.5;
(69)8x﹣3x=155,
5x=155,
5x÷5=155÷5,
x=31;
(70)30×(x÷4)=60,
30×(x÷4)÷30=60÷30,
x÷4=2,
x÷4×4=2×4,
x=8;
(71)72×5﹣3x=12,
360﹣3x=12,
360﹣3x+3x=12+3x,
3x+12=360,
3x+12﹣12=360﹣12,
3x=348,
3x÷3=348÷3,
x=116
(72)x+175=366
x+175﹣175=366﹣175
x=191
(73)2000﹣x=1384
2000﹣x+x=1384+x
2000﹣13.84=1384+x﹣1384
x=616
(74)x÷14=250
x÷14×14=250×14
X=3500
(75)45×x=4680
45×x÷45=4680÷45
x=104
(76)x×39=200+34
x×39=234
x×39÷39=234÷39
x=6
(77)3780÷x=18
3780÷x×x=18×x
3780÷18=18×x÷18
x=210
(78)532﹣x=196
532﹣x+x=196+x
196+x=532
196+x﹣196=532﹣196
x=336;
(79)x÷62=48
x÷62×62=48×62
x=2976;
(80)74×x=2812
74×x÷74=2812÷74
x=38
(81)4x﹣3×9=29,
4x﹣27=29,
4x﹣27+27=29+27,
4x=56,
4x÷4=56÷4,
x=14;
(82)13(x+5)=169,
13x+65=169,
13x+65﹣65=169﹣65,
13x=104,
13x÷13=104÷13,
x=8
(83)4x﹣6=30
4x﹣6+6=30+6
4x÷4=36÷4
x=9;
(84)4x﹣2x=48
2x=48
2x÷2=48÷2
x=24;
(85)5x÷9=25
5x÷9×9=25×9
5x=225
5x÷5=225÷5
x=45;
(86)2y+3y+60=145
5y+60=145
5y+60﹣60=145﹣60
5y=85
5y÷5=85÷5
y=17
(87)16x÷2=128
8x=128
8x÷8=128÷8
x=16;
(88)6x+180=330
6x+180﹣180=330﹣180
6x÷6=150÷6
x=25
(89)13x+7=150
13x+7﹣7=150﹣7
13x÷13=143÷13
x=11
(90)200÷5x=40
200÷5x×5x=40×5x
200x=200
200x÷200=200÷200
x=1
(91)4×(3x+6)=48,
4×(3x+6)÷4=48÷4,
3x+6﹣6=12﹣6,
3x÷3=6÷3,
x=2;
(92)5×(x+24)=255,
5×(x+24)÷5=255÷5,
x+24﹣24=51﹣24,
x=27;
(93)(x﹣12)÷4=4.5,
(x﹣12)÷4×4=4.5×4,
x﹣12+12=18+12,
x=30;
(94)45x+x=368,
46x=368,
46x÷46=368÷46,
x=8
(95)454﹣2x=226
454﹣2x+2x=226+2x
454﹣226=226+2x﹣226
2x=228;
X=114
(96)20×3﹣x=40
60﹣x+x=40+x
60﹣40=40+x﹣40
x=20;
(97)(52+34)×x=5590
86x=5590
86x÷86=5590÷86
x=65;
(98)x÷43=508
x÷43×43=508×43
x=21844;
(99)x﹣4.3=9.08
x﹣4.3+4.3=9.08+4.3
x=13.38;
(100)488÷x=61
488÷x×x=61×x
488÷61=61x÷61
x=8
(101)6x﹣35=13
6x﹣35+35=13+35
6x=48
6x÷6=48÷6
x=8;
(102)38﹣12+x=54
26+x=54