一元一次方程计算题及答案
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一元一次方程练习题及答案1.判断题:1)判断下列方程是否是一元一次方程:①-3x-6x^2=7.(不是)②x+1=3.(是)③5x+1-2x=3x-2.(是)④3y-4=2y+1.(不是)2)判断下列方程的解法是否正确:①解方程3y-4=y+3,解:3y-y=3+4,2y=7,y=7/2.(错误,应为2y-4=1,y=5/2)②解方程:0.4x-3=0.1x+2,解:0.4x-0.1x=2+3,0.3x=5,x=50/3.(正确)③解方程-(x+3)/(x-1)=1,解:-x-3=x-1,2x=4,x=2.(错误,应为-2x-6=x-1,-3x=5,x=-5/3)④解方程(x+2)/2=1-x,解:x+2=2-2x,3x=-1,x=-1/3.(正确)2.填空题:1)若2(3-a)x-4=5是关于x的一元一次方程,则a≠3.2)关于x的方程ax=3的解是自然数,则整数a的值为:1或3.3)方程5x-2(x-1)=17的解是4.4)x=2是方程2x-3=m-x的解,则m=7.5)若-2x+1=0是关于x的一元一次方程,则m=1/2.6)当y=2时,代数式5y+6与3y-2互为相反数.7)当m=0时,方程-m=0的解为0.8)已知a≠0.则关于x的方程3ab-(a+b)x=(a-b)x的解为3b/a.3.选择题:1)方程ax=b的解是().A.有一个解x=b/aB.有无数个解C.没有解D.当a≠0时,x=b/a2)解方程(x-1)/4=3,下列变形中,较简捷的是()A.方程两边都乘以4,得(x-1)=12B.去括号,得4(x-1)=12C.两边同乘以4,得(x-1)=12D.整理,得x=13/43)方程2/(x-3)=-3/6的去分母得(x-3)/2=1/2,解得x=4. 4)若代数式(4x-3)/(x+15)比1大1,则x的值是-18.5)x=1是方程5x+1/(x-0.5)=9-4x/(1.3-3x)的解.1.解方程:1) 7(2x-1)-3(4x-1)=4(3x+2)-1;2) (5y+1)+(1-y)=(9y+1)+(1-3y);3) [(x-1)-4]=x+2;4) x-1=-x;5) 3-(2.5x+1.5)+2x-5=1;6) -2x-3=-2x;7) 6/(3y-4)+3y=1;8) 20%+(1-20%)(320-x)=320×40%.改写:1) 解方程:14x-10=-8x+7;2) 解方程:5y=2y;3) 解方程:x=-1;4) 解方程:x=-1/2;5) 化简方程:-0.5x+0.5=0;6) 解方程:无解;7) 化简方程:6y^2-13y+4=0;8) 解方程:x=80.2.解答下列各题:1) 当x等于1时,代数式的值相等;2) 当y等于4时,代数式的值少3;3) 当m等于4时,代数式2m-的值与代数式-3的值的和等于5;4) 解方程:(3m+1)x=m(x-4)^3;① ax+b=bx+a;(a≠b)时,解得x=(a-b)/(a-b)=1;②解方程:x^2+mx-m=0,得x=1或x=-m;5) 填空:1) x=3;2) 1/6;3) y=-2;4) a=8;5) -1;6) x=1;7) 10;8) a=2;9) 1/2;10) a+b=0.3.选择题:1) 解得h=4cm;2) 由题意得a/b=3/(x-1),化简得3x-a=b,为一元一次方程,故选C;3) 解方程得x=-2;4) 解方程得x=2/7;5) 解得x=2,故选B.4)下列方程共有几个一元一次方程:2x+3x/12x+63x-1=2(x+1)+3=3(2x+5)-2(x-1)=4x+6.答案:共有4个。
3z- 2.5 1-3J_ 0.6x-1 23、丨「j ":10x-3 4x+l 1--------------- =12 5»+l_9y+l11、f' I J5-3x_3-5x12、 1 ":0.02^ —0.18^ + 0.18 1.5------ +U --------------------------------- 13、:14、2|X-1|=4x-1 x +2 4-x3_4"1)—x-——8324、4[<2 4丿-2.25、3 -(200 + x)—2(300 -x)= 300 江210 10 253x-2 9-2x x-1263 4 2x- 2 2x-5x- -------- = --------27、(1) 匚JJi 一1、8、0.4 0.53J-13 4 1 1、小3 ’[(x ) -8] x 14 3 2 4 2x -3 4x 1 ,150 lx+ 0.1 ] 2-3x---------- -I = ---------02 32x+l 1 3x-2x ----------- -- 1 ------------12 40.lx- 0.2 x+1 --------------------- =316、:.:! 工-------- 二----------- [a ^b^O)17、订L1'—+—J=0 518、心二x-42 _ x------------------------ -- ---19、_ -.20、y上=1上12 4r-1 & x+2r- ------- = 2 - -------21、_ 一.0.02x . 0 18x + 018 1 53x - +1=------22、Ix-3 x +4 1--------------- - 1.60.5 0215、 6 228、求下列各式中x的值:4 1 1 1一:一=畫订5 4.8x+-x-15 x.- + 7=103(1) 1」1 (2) 「(3) }1.8-8J L3-3z 5z - 0.4 n29、一 ] [ 二;30、解关于x的方程b (a+ x)—a=( 2b+1) x+ ab (a*0).参考答案一、计算题1、x=—35x—15 lOx+20 n -2、解:[ ...................... 2 分x=8 .............. ............ 4分32^-5)/+5 = 10 — 2^—42y -5y-\-2y = 10-5-4-y = 1y 二 T1 1 3—X—) £二 F X+12 4 。
一元一次方程100道及答案过程本文精心收集了100道一元一次方程题,且每道题均附上清晰的求解步骤和解答,可供学生们在学习中参考。
一元一次方程是高中一类重要的数学问题,在数学测试中出现的频率也比较高。
下面是一元一次方程100道及解答过程:1. x + 2 = 5解答:x = 32. 2x = 4解答:x = 23. x - 3 = 4解答:x = 74. 4x - 5 = 15解答:x = 45. x - 7 = 3解答:x = 106. 5x + 6 = 36 解答:x = 67. 3x = 9解答:x = 38. 7x - 2 = 12 解答:x = 29. 9x - 4 = 16 解答:x = 210. 6x + 3 = 27 解答:x = 411. 4x + 9 = 25 解答:x = 412. 2x - 7 = -5 解答:x = 413. 2x = 10解答:x = 514. 3x - 4 = 6 解答:x = 415. 8x - 3 = 21 解答:x = 316. x = 8解答:x = 817. 5x + 2 = 27 解答:x = 518. 3x - 7 = 6 解答:x = 519. 8x + 4 = 48 解答:x = 620. 4x - 3 = 7 解答:x = 221. x + 5 = 10 解答:x = 522. 2x = 6解答:x = 323. 8x + 9 = 61 解答:x = 724. 4x + 5 = 21 解答:x = 425. x - 4 = 3 解答:x = 726. 7x + 2 = 20 解答:x = 327. 9x = 27 解答:x = 328. 7x - 4 = 10 解答:x = 229. 9x + 7 = 58 解答:x = 630. 3x - 8 = 14 解答:x = 631. 5x + 9 = 44 解答:x = 732. x = 5解答:x = 533. 6x - 8 = 18 解答:x = 434. 8x + 1 = 65 解答:x = 835. 4x - 7 = 11 解答:x = 336. 5x + 3 = 28解答:x = 537. 2x + 7 = 17 解答:x = 538. 8x - 5 = 47 解答:x = 639. 9x - 1 = 80 解答:x = 940. 7x - 3 = 26 解答:x = 441. 4x + 8 = 28 解答:x = 542. 6x + 9 = 51 解答:x = 743. x + 6 = 9 解答:x = 344. 5x = 10解答:x = 245. 9x - 8 = 28 解答:x = 446. x = 12解答:x = 1247. 8x - 6 = 36 解答:x = 548. 5x + 4 = 24 解答:x = 449. x - 5 = 8 解答:x = 1350. 6x + 2 = 42 解答:x = 751. 2x + 9 = 23 解答:x = 752. 3x - 7 = 12 解答:x = 753. 5x + 6 = 30 解答:x = 554. x = 18解答:x = 1855. 7x + 4 = 46 解答:x = 656. 4x + 3 = 19 解答:x = 457. 8x = 64解答:x = 858. 6x - 5 = 21 解答:x = 459. 3x + 8 = 14解答:x = 260. x - 6 = 11 解答:x = 1761. 7x - 9 = 32 解答:x = 562. 2x + 7 = 17 解答:x = 563. 6x + 4 = 38 解答:x = 664. 5x = 30解答:x = 665. 3x + 5 = 20 解答:x = 566. x + 9 = 16 解答:x = 767. 8x - 7 = 21 解答:x = 368. x = 20解答:x = 2069. 4x + 3 = 19 解答:x = 470. 7x - 5 = 25 解答:x = 471. x - 9 = 5 解答:x = 1472. 2x + 8 = 14 解答:x = 373. 8x + 4 = 68 解答:x = 874. 6x - 7 = 11 解答:x = 375. 3x + 9 = 24 解答:x = 576. 5x - 8 = 33 解答:x = 777. x + 4 = 10 解答:x = 678. 7x + 2 = 64 解答:x = 979. 9x - 5 = 44 解答:x = 580. 4x + 8 = 28 解答:x = 581. 3x + 2 = 5 解答:x = 182. x - 8 = 10解答:x = 1883. 5x = 40解答:x = 884. 7x + 6 = 74 解答:x = 1085. 9x = 63解答:x = 786. x = 24解答:x = 2487. 4x + 1 = 17 解答:x = 488. 2x - 6 = 8 解答:x = 789. 7x - 9 = 16 解答:x = 390. 5x + 7 = 47 解答:x = 891. 3x - 7 = 4 解答:x = 792. 8x + 9 = 73 解答:x = 993. x - 4 = 9 解答:x = 1394. 6x = 48解答:x = 895. 4x + 6 = 22 解答:x = 496. x + 8 = 13 解答:x = 597. 7x + 5 = 43 解答:x = 698. 9x - 3 = 36 解答:x = 499. 3x + 6 = 24 解答:x = 6100. x - 9 = 16 解答:x = 25。
一元一次方程习题精选附答案6.2.4 解一元一次方程(三)一、解答题(共30小题)1.解方程:2x+1=72.删除此题3.1)解方程:4-x=3(2-x);2)解方程:删除此题4.解方程:删除此题5.解方程1)4(x-1)-3(20-x)=5(x-2);2)x-1=2(x-3)。
6.1)解方程:3(x-1)=2x+3;2)解方程:x-1=1/x。
7.-1+2x=3x+18.解方程:5(x-1)-2(x+1)=3(x-1)+x+1;9.解方程:删除此题10.1)4x-3(4-x)=2;2)(x-1)+2=2-(x+2)。
11.1)计算:删除此题2)解方程:删除此题12.解方程:删除此题13.1)删除此题2)删除此题14.1)5(2x+1)-2(2x-3)=6;2)删除此题3)3(x-1)+|x-2|=5x-1.15.A类)解方程:5x-2=7x+8;B类)解方程:(x-1)-(x+5)=-2;C类)解方程:删除此题16.1)3(x+6)=9-5(1-2x);2)删除此题17.1)4x-3(5-x)=13;2)x+3=2x-3.18.1)计算:-42×|-2|÷(3-|3|);2)计算:-12-|0.5-|-2-(-3)|÷2;3)解方程:4x-3(5-x)=2;4)解方程:删除此题19.1)计算:-7×(-1/3)÷(4/5);2)删除此题3)解方程:3x+3=2x+7;4)解方程:6x-2=4x+10.20.1)-0.2(x-5)=1;2)删除此题21.解方程:4x+5=9.22.3x=-12.23.1)0.5x-0.7=5.2-1.3(x-1);2)5x+2(3x-7)=9-4(2+x);3)2x+3(x+1)=5-4(x-1);4)删除此题24.解方程:x=21/6.25.解方程:-2x+5=3x+4.26.1)5x=27;2)删除此题27.解方程:x^2+3x-4=0.28.当k=3时,式子比值少3.29.I)7.5y=14;II)删除此题。