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  • 有理數(shù)的運(yùn)算50道題,解方程50道,化簡(jiǎn)求值30道,

    有理數(shù)的運(yùn)算50道題,解方程50道,化簡(jiǎn)求值30道,
    數(shù)學(xué)人氣:968 ℃時(shí)間:2020-04-07 05:37:49
    優(yōu)質(zhì)解答
    最佳答案3.3ab-4ab+8ab-7ab+ab=______.
    4.7x-(5x-5y)-y=______.
    5.23a3bc2-15ab2c+8abc-24a3bc2-8abc=______.
    6.-7x2+6x+13x2-4x-5x2=______.
    7.2y+(-2y+5)-(3y+2)=______.
    11.(2x2-3xy+4y2)+(x2+2xy-3y2)=______.
    12.2a-(3a-2b+2)+(3a-4b-1)=______.
    13.-6x2-7x2+15x2-2x2=______.
    14.2x-(x+3y)-(-x-y)-(x-y)=______.
    16.2x+2y-[3x-2(x-y)]=______.
    17.5-(1-x)-1-(x-1)=______.
    18.( )+(4xy+7x2-y2)=10x2-xy.
    19.(4xy2-2x2y)-( )=x3-2x2y+4xy2+y3.
    21.已知A=x3-2x2+x-4,B=2x3-5x+3,計(jì)算A+B=______.
    22.已知A=x3-2x2+x-4,B=2x3-5x+3,計(jì)算A-B=______.
    23.若a=-0.2,b=0.5,代數(shù)式-(|a2b|-|ab2|)的值為______.
    25.一個(gè)多項(xiàng)式減去3m4-m3-2m+5得-2m4-3m3-2m2-1,那么這個(gè)多項(xiàng)式等于______.
    26.-(2x2-y2)-[2y2-(x2+2xy)]=______.
    27.若-3a3b2與5ax-1by+2是同類項(xiàng),則x=______,y=______.
    28.(-y+6+3y4-y3)-(2y2-3y3+y4-7)=______.
    29.化簡(jiǎn)代數(shù)式4x2-[7x2-5x-3(1-2x+x2)]的結(jié)果是______.
    30.2a-b2+c-d3=2a+( )-d3=2a-d3-( )=c-( ).
    31.3a-(2a-3b)+3(a-2b)-b=______.
    32.化簡(jiǎn)代數(shù)式x-[y-2x-(x+y)]等于______.
    33.[5a2+( )a-7]+[( )a2-4a+( )]=a2+2a+1.
    34.3x-[y-(2x+y)]=______.
    35.化簡(jiǎn)|1-x+y|-|x-y|(其中x<0,y>0)等于______.
    36.已知x≤y,x+y-|x-y|=______.
    37.已知x<0,y<0,化簡(jiǎn)|x+y|-|5-x-y|=______.
    38.4a2n-an-(3an-2a2n)=______.
    39.若一個(gè)多項(xiàng)式加上-3x2y+2x2-3xy-4得
    2x2y+3xy2-x2+2xy,
    則這個(gè)多項(xiàng)式為______.
    40.-5xm-xm-(-7xm)+(-3xm)=______.
    41.當(dāng)a=-1,b=-2時(shí),
    [a-(b-c)]-[-b-(-c-a)]=______.
    43.當(dāng)a=-1,b=1,c=-1時(shí),
    -[b-2(-5a)]-(-3b+5c)=______.
    44.-2(3x+z)-(-6x)+(-5y+3z)=______.
    45.-5an-an+1-(-7an+1)+(-3an)=______.
    46.3a-(2a-4b-6c)+3(-2c+2b)=______.
    48.9a2+[7a2-2a-(-a2+3a)]=______.
    50.當(dāng)2y-x=5時(shí),5(x-2y)2-3(-x+2y)-100=______.
    (二)選擇
    [ ]
    A.2;
    B.-2;
    C.-10;
    D.-6.
    52.下列各式中計(jì)算結(jié)果為-7x-5x2+6x3的是 [ ]
    A.3x-(5x2+6x3-10x);
    B.3x-(5x2+6x3+10x);
    C.3x-(5x2-6x3+10x);
    D.3x-(5x2-6x3-10x).
    53.把(-x-y)+3(x+y)-5(x+y)合并同類項(xiàng)得 [ ]
    A.(x-y)-2(x+y);
    B.-3(x+y);
    C.(-x-y)-2(x+y);
    D.3(x+y).
    54.2a-[3b-5a-(2a-7b)]等于 [ ]
    A.-7a+10b;
    B.5a+4b;
    C.-a-4b;
    D.9a-10b.
    55.減去-3m等于5m2-3m-5的代數(shù)式是 [ ]
    A.5(m2-1);
    B.5m2-6m-5;
    C.5(m2+1);
    D.-(5m2+6m-5).
    56.將多項(xiàng)式2ab-9a2-5ab-4a2中的同類項(xiàng)分別結(jié)合在一起,應(yīng)為 [ ]
    A.(9a2-4a2)+(-2ab-5ab);
    B.(9a2+4a2)-(2ab-5ab);
    C.(9a2-4a2)-(2ab+5ab);
    D.(9a2-4a2)+(2ab-5ab).
    57.當(dāng)a=2,b=1時(shí),-a2b+3ba2-(-2a2b)等于 [ ]
    A.20;
    B.24;
    C.0;
    D.16.
    中,正確的選擇是 [ ]
    A.沒有同類項(xiàng);
    B.(2)與(4)是同類項(xiàng);
    C.(2)與(5)是同類項(xiàng);
    D.(2)與(4)不是同類項(xiàng).
    59.若A和B均為五次多項(xiàng)式,則A-B一定是 [ ]
    A.十次多項(xiàng)式;
    B.零次多項(xiàng)式;
    C.次數(shù)不高于五次的多項(xiàng)式;
    D.次數(shù)低于五次的多項(xiàng)式.
    60.-{[-(x+y)]}+{-[(x+y)]}等于 [ ]
    A.0;
    B.-2y;
    C.x+y;
    D.-2x-2y.
    61.若A=3x2-5x+2,B=3x2-5x+6,則A與B的大小是
    [ ]
    A.A>B;
    B.A=B;
    C.A<B;
    D.無法確定.
    62.當(dāng)m=-1時(shí),-2m2-[-4m2+(-m2)]等于 [ ]
    A.-7;
    B.3;
    C.1;
    D.2.
    63.當(dāng)m=2,n=1時(shí),多項(xiàng)式-m-[-(2m-3n)]+[-(-3m)-4n]等于 [ ]
    A.1;
    B.9;
    C.3;
    D.5.
    [ ]
    65.-5an-an-(-7an)+(-3an)等于 [ ]
    A.-16an;
    B.-16;
    C.-2an;
    D.-2.
    66.(5a-3b)-3(a2-2b)等于 [ ]
    A.3a2+5a+3b;
    B.2a2+3b;
    C.2a3-b2;
    D.-3a2+5a-5b.
    67.x3-5x2-4x+9等于 [ ]
    A.(x3-5x2)-(-4x+9);
    B.x3-5x2-(4x+9);
    C.-(-x3+5x2)-(4x-9);
    D.x3+9-(5x2-4x).
    [ ]
    69.4x2y-5xy2的結(jié)果應(yīng)為 [ ]
    A.-x2y;
    B.-1;
    C.-x2y2;
    D.以上答案都不對(duì).
    (三)化簡(jiǎn)
    70.(4x2-8x+5)-(x3+3x2-6x+2).
    72.(0.3x3-x2y+xy2-y3)-(-0.5x3-x2y+0.3xy2).
    73.-{2a2b-[3abc-(4ab2-a2b)]}.
    74.(5a2b+3a2b2-ab2)-(-2ab2+3a2b2+a2b).
    75.(x2-2y2-z2)-(-y2+3x2-z2)+(5x2-y2+2z2).
    76.(3a6-a4+2a5-4a3-1)-(2-a+a3-a5-a4).
    77.(4a-2b-c)-5a-[8b-2c-(a+b)].
    78.(2m-3n)-(3m-2n)+(5n+m).
    79.(3a2-4ab-5b2)-(2b2-5a2+2ab)-(-6ab).
    80.xy-(2xy-3z)+(3xy-4z).
    81.(-3x3+2x2-5x+1)-(5-6x-x2+x3).
    83.3x-(2x-4y-6x)+3(-2z+2y).
    84.(-x2+4+3x4-x3)-(x2+2x-x4-5).
    85.若A=5a2-2ab+3b2,B=-2b2+3ab-a2,計(jì)算A+B.
    86.已知A=3a2-5a-12,B=2a2+3a-4,求2(A-B).
    87.2m-{-3n+[-4m-(3m-n)]}.
    88.5m2n+(-2m2n)+2mn2-(+m2n).
    89.4(x-y+z)-2(x+y-z)-3(-x-y-z).
    90.2(x2-2xy+y2-3)+(-x2+y2)-(x2+2xy+y2).
    92.2(a2-ab-b2)-3(4a-2b)+2(7a2-4ab+b2).
    94.4x-2(x-3)-3[x-3(4-2x)+8].
    (四)將下列各式先化簡(jiǎn),再求值
    97.已知a+b=2,a-b=-1,求3(a+b)2(a-b)2-5(a+b)2×(a-b)2的值.
    98.已知A=a2+2b2-3c2,B=-b2-2c2+3a2,C=c2+2a2-3b2,求(A-B)+C.
    99.求(3x2y-2xy2)-(xy2-2x2y),其中x=-1,y=2.
    101.已知|x+1|+(y-2)2=0,求代數(shù)式5(2x-y)-3(x-4y)的值.
    106.當(dāng)P=a2+2ab+b2,Q=a2-2ab-b2時(shí),求P-[Q-2P-(P-Q)].
    107.求2x2-{-3x+5+[4x2-(3x2-x-1)]}的值,其中x=-3.
    110.當(dāng)x=-2,y=-1,z=3時(shí),求5xyz-{2x2y-[3xyz-(4xy2-x2y)]}的值.
    113.已知A=x3-5x2,B=x2-6x+3,求A-3(-2B).
    (五)綜合練習(xí)
    115.去括號(hào):{-[-(a+b)]}-{-[-(a-b)]}.
    116.去括號(hào):-[-(-x)-y]-[+(-y)-(+x)].
    117.已知A=x3+6x-9,B=-x3-2x2+4x-6,計(jì)算2A-3B,并把結(jié)果放在前面帶“-”號(hào)的括號(hào)內(nèi).
    118.計(jì)算下式,并把結(jié)果放在前面帶“-”號(hào)的括號(hào)內(nèi):
    (-7y2)+(-4y)-(-y2)-(+5y)+(-8y2)+(+3y).
    119.去括號(hào)、合并同類項(xiàng),將結(jié)果按x的升冪排列,并把后三項(xiàng)放在帶有“-”號(hào)的括號(hào)內(nèi):
    120.不改變下式的值,將其中各括號(hào)前的符號(hào)都變成相反的符號(hào):(x3+3x2)-(3x2y-7xy)+(2y3-3y2).
    121.把多項(xiàng)式4x2y-2xy2+4xy+6-x2y2+x3-y2的三次項(xiàng)放在前面帶有“-”號(hào)的括號(hào)內(nèi),二次項(xiàng)放在前面帶有“+”號(hào)的括號(hào)內(nèi),四次項(xiàng)和常數(shù)項(xiàng)放在前面帶有“-”號(hào)的括號(hào)內(nèi).
    122.把下列多項(xiàng)式的括號(hào)去掉,合并同類項(xiàng),并將其各項(xiàng)放在前面帶有“-”號(hào)的括號(hào)內(nèi),再求2x-2[3x-(5x2-2x+1)]-4x2的值,其中x=-1.
    123.合并同類項(xiàng):
    7x-1.3z-4.7-3.2x-y+2.1z+5-0.1y.
    124.合并同類項(xiàng):5m2n+5mn2-mn+3m2n-6mn2-8mn.
    126.去括號(hào),合并同類項(xiàng):
    (1)(m+1)-(-n+m);
    (2)4m-[5m-(2m-1)].
    127.化簡(jiǎn):2x2-{-3x-[4x2-(3x2-x)+(x-x2)]}.
    128.化簡(jiǎn):-(7x-y-2z)-{[4x-(x-y-z)-3x+z]-x}.
    129.計(jì)算:(+3a)+(-5a)+(-7a)+(-31a)-(+4a)-(-8a).
    130.化簡(jiǎn):a3-(a2-a)+(a2-a+1)-(1-a4+a3).
    131.將x2-8x+2x3-13x2-2x-2x3+3先合并同類項(xiàng),再求值,其中x=-4.
    132.在括號(hào)內(nèi)填上適當(dāng)?shù)捻?xiàng):[( )-9y+( )]+2y2+3y-4=11y2-( )+13.
    133.在括號(hào)內(nèi)填上適當(dāng)?shù)捻?xiàng):
    (-x+y+z)(x+y-z)=[y-( )][y+( )].
    134.在括號(hào)內(nèi)填上適當(dāng)?shù)捻?xiàng):
    (3x2+xy-7y2)-( )=y2-2xy-x2.
    135.在括號(hào)內(nèi)填上適當(dāng)?shù)捻?xiàng):
    (1)x2-xy+y-1=x2-( );
    (2)[( )+6x-7]-[4x2+( )-( )]=x2-2x+1.
    136.計(jì)算4x2-3[x+4(1-x)-x2]-2(4x2-1)的值.
    137.化簡(jiǎn):
    138.用豎式計(jì)算
    (-x+5+2x4-6x3)-(3x4+2x2-3x3-7).
    139.已知A=11x3+8x2-6x+2,B=7x3-x2+x+3,求2(3A-2B).
    140.已知A=x3-5x2,B=x3-11x+6,C=4x-3,求
    (1)A-B-C;
    (2)(A-B-C)-(A-B+C).
    141.已知A=3x2-4x3,B=x3-5x2+2,計(jì)算
    (1)A+B;
    (2)B-A.
    142.已知x<-4,化簡(jiǎn)|-x|+|x+4|-|x-4|.
    146.求兩代數(shù)式-1.56a+3.2a3-0.47,2.27a3-0.02a2+4.03a+0.53的差與6-0.15a+3.24a2+5.07a3的和.
    -0.3,y=-0.2.
    150.已知(x-3)2+|y+1|+z2=0,求x2-2xy-5x2+12xz+3xy-z2-8xz-2x2的值.
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