1. 下列运算正确的是 (
A.$-3mn + 3nm = 0$
B.$7a - 3a = 4$
C.$x^2y - 2xy^2 = -x^2y$
D.$2a^2 + 3a^3 = 5a^5$
A
)A.$-3mn + 3nm = 0$
B.$7a - 3a = 4$
C.$x^2y - 2xy^2 = -x^2y$
D.$2a^2 + 3a^3 = 5a^5$
答案
1. A
2. 若$M=2a^2b$,$N=3ab^2$,$P=-4a^2b$,则下列计算正确的是(
A.$M+N=5a^3b^2$
B.$N+P=-ab$
C.$M+P=-2a^2b$
D.$N-P=2a^2b$
C
)A.$M+N=5a^3b^2$
B.$N+P=-ab$
C.$M+P=-2a^2b$
D.$N-P=2a^2b$
答案
2. C
3. 直接写出下列各式的结果:
(1) $-xy+xy=$ ______;
(2) $-ab-ab=$ ______;
(3) $a^2b - 2ab^2 + 2a^2b=$ ______;
(4) $5a^2 - (-2a^2) + (-3a^2)=$ ______。
(1) $-xy+xy=$ ______;
(2) $-ab-ab=$ ______;
(3) $a^2b - 2ab^2 + 2a^2b=$ ______;
(4) $5a^2 - (-2a^2) + (-3a^2)=$ ______。
答案
(1) 0 (2) $-2ab$ (3) $3a^2b-2ab^2$ (4) $4a^2$
4. 有三个连续奇数,设中间的一个是$2n-1$,则这三个奇数的和为
$6n-3$
。答案
4. $6n-3$
5. 若$m=2-n$,则$2(m+n)^2-(m+n)+3(m+n)^2$的值为
18
。答案
5. 18
6. 合并同类项:
(1) $2x^2 -5x +x^2 +4x -3x^2 -2$;
(2) $x^2y^2 -3xy -7x^2y^2 + \frac{1}{2}xy -1 +5x^2y^2$;
(3) $2xy - \frac{1}{5}x^3 -2xy +0.5x^3 -y^3$;
(4) $-\frac{3}{5}xy^3 +3x^2y - \frac{5}{2}x^2y - \frac{2}{5}xy^3 - \frac{1}{2}x^2y -2x^3y$。
(1) $2x^2 -5x +x^2 +4x -3x^2 -2$;
(2) $x^2y^2 -3xy -7x^2y^2 + \frac{1}{2}xy -1 +5x^2y^2$;
(3) $2xy - \frac{1}{5}x^3 -2xy +0.5x^3 -y^3$;
(4) $-\frac{3}{5}xy^3 +3x^2y - \frac{5}{2}x^2y - \frac{2}{5}xy^3 - \frac{1}{2}x^2y -2x^3y$。
答案
(1) $-x-2$ (2) $-x^2y^2-\frac{5}{2}xy-1$ (3) $\frac{3}{10}x^3-y^3$ (4) $-xy^3-2x^3y$
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