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整式加减测试课
1选择题
(1)在代数式x+2yz,3a,5x2+4x-1,1,x,mnp,,中有( )
(A)4个单项式,2个多项式 (B)5个单项式,3个多项式 (C)7个单项式 (D)8个整式
(2)下列各组单项式中,不是同类项的是( )
(A)与x (B)4xy2与-4y2x (C)x5y与x5 (D)4与-4
(3)与a-b互为相反数的是( )
(A)a+b (B)a-b (C)-b-a (D)b-a
(4)下列计算中正确的是( )
(A)5a3-6a3=-a (B)3a2+4a2=7a4 (C)7a+3a2=10a3 (D)a2+4a2=5a2
(5)当a=-时,-3a2-[-a2+(-2a)2]-2a的值等于( )
(A)- (B)- (C)- (D)-2
2填空题
(1)-的系数是____,次数是____
(2)4x2-5x2+7x3-6+8x是____次____项式,其中常数项是_____
(3)将3x2y-x3+xy2-y3按x的降幂排列是______,按y的降幂排列是_____
(4)设a=-10,则(2a+5)-3(2a+1)的值是____
(5)如果m-n=50,则n-m=_____,5-m+n=_____,70+2m-2n=______
3设M=3a3-10a2-5,N=-2a3+5-10a,P=7-5a-2a2,求M+2N-3P及M-3N+2P的值.
4计算
(1)
(2)(-8x3+14xy2-5y3)+2
5先化简,再求值
(1)(3a2-a3-4a)-(a3-6a+9)+(2a3-3a2+6a+5),其中a=-1;
(2)9y-{159-[4y-(11x-2y)-10x]+2y},其中x=-3,y=2.
参考答案
1(1)A(2)C(3)D(4)D(5)C
2(1)-,5 (2)4,5,-6 (3)- x3+3x2y+xy2-y3,-y3+xy2+3x2y-x3
(4) 42 (5) -50,-45,170
3 M+2N-3P=(3a3-10a2-5)+2(-2a3+5-10a)-3(-7-5a-2a2)=3a3-10a2-5-4a3+10-20a-21+15a+6a2=-a3-4a2-5a-16.
4(1)原式=x2-3xy-y2-x2-6xy+y2-3x2+xy-y2
=-x2-xy-y2.
(2)原式=-8x3+14xy2-5y3+x2y-xy2-14y3-xy2+2x3-6y3=-6x3+xy2+x2y-25y3.
5(1)原式=3a2-a3-4a-a3+6a-9a+2a3-3a2+6a+5=8a-4
=8×-4=-16.
(2)原式=9y-{159-[6y-21x]+2y}=9y-{150+21x-4y}=-21x+13y-159=-21×(-3)+13×2-159=-70.
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