《2025年通城学典初中数学运算能手七年级上册人教版》

一、填空题
1. $ x + 2y - (3x - y) = $-2x+3y 2. $ 3m - n + (2m + 3n) = $5m+2n
3. $ (3x + 1) - (4 - x) = $4x-3 4. $ - (3x - 1) + 2(4 - x) = $-5x+9
5. $ 2(m - 1) - 3(m + 1) = $-m-5 6. $ 2a - \frac{1}{3}(a - 3b + 6c) = $$\frac{5}{3}a+b-2c$
7. $ a + b + \frac{1}{2}(b + a) - 4(a + b) = $$-\frac{5}{2}a-\frac{5}{2}b$ 8. $ 1.2a + 6(a - 2b + \frac{1}{5}c) = $$\frac{36}{5}a-12b+\frac{6}{5}c$

答案： 1. -2x+3y 2. 5m+2n 3. 4x-3 4. -5x+9 5. -m-5 6. $\frac{5}{3}a+b-2c$ 7. $-\frac{5}{2}a-\frac{5}{2}b$ 8. $\frac{36}{5}a-12b+\frac{6}{5}c$

二、计算题
9. $ (-3x^{2} - x + 2) - (4x^{2} + 3x - 5) $ 10. $ 3y^{2} - x^{2} + (2x - y) - (x^{2} + 3y^{2}) $
11. $ 3(1 - a + 2a^{2}) - 4(2 - 3a - 4a^{2}) $ 12. $ -2(-3y + 2) - 3(4y - 5) $
13. $ 3(2x^{2} - 3xy) - 2[x^{2} - (2x^{2} - yx + y^{2})] $
14. $ -\frac{4}{5}(p + 2q - r^{4}) + (p + q) - \frac{6}{5}(p + 2q - r^{4}) + 2(p + q) $

答案： 9. $-7x^{2}-4x+7$ 10. $-2x^{2}+2x-y$ 11. $-5+9a+22a^{2}$ 12. -6y+11 13. $8x^{2}-11xy+2y^{2}$ 14. $p-q+2r^{4}$