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天津人教版数学七年级上册前三章纯计算试卷

天津人教版数学七年级上册前三章计算试卷 姓名：__________ 班级：__________ 完成时间：_______ 分钟 得分：_______ 一、有理数混合运算（共12题） 计算下列各题，写出主要计算步骤： 1. ( − 3 ) + 5 − ( − 2 ) (-3) + 5 - (-2) ( − 3 ) + 5 − ( − 2 ) = 2. ( −

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天津人教版数学七年级上册前三章计算试卷

姓名：__________ 班级：__________

完成时间：_______ 分钟 得分：_______

一、有理数混合运算（共12题）

计算下列各题，写出主要计算步骤：

1. (−3)+5−(−2)(-3) + 5 - (-2)=

2. (−4)×6÷(−3)(-4) \times 6 \div (-3)=

3. (−2)3+(−3)2(-2)^3 + (-3)^2=

4. (−1)2023−(−1)2024(-1)^{2023} - (-1)^{2024}=

5. (−12)÷(−4)×(−2)(-12) \div (-4) \times (-2)=

6. (−5)×(−3)+(−7)×2(-5) \times (-3) + (-7) \times 2=

7. (−2)2×(−3)+4÷(−2)(-2)^2 \times (-3) + 4 \div (-2)=

8. (−3)3÷9+(−2)2×5(-3)^3 \div 9 + (-2)^2 \times 5=

9. (−2)×(−3)−(−4)÷2(-2) \times (-3) - (-4) \div 2=

10. (−1)100×5+(−2)3÷4(-1)^{100} \times 5 + (-2)^3 \div 4=

11. (−6)÷(−23)×2(-6) \div \left(-\frac{2}{3}\right) \times 2=

12. (−0.25)×(−4)×(−1)5(-0.25) \times (-4) \times (-1)^5=

二、整式加减运算（共10题）

计算下列各题，合并同类项：

1. 3a+2b−5a+3b3a + 2b - 5a + 3b=

2. 2x2−3x+4x2+5x2x^2 - 3x + 4x^2 + 5x=

3. 5m2n−3mn2+2m2n−mn25m^2n - 3mn^2 + 2m^2n - mn^2=

4. 4a2b−3ab2+2a2b−ab24a^2b - 3ab^2 + 2a^2b - ab^2=

5. 3(x−2y)−2(2x+y)3(x - 2y) - 2(2x + y)=

6. 2(3a−2b)+3(2a−b)2(3a - 2b) + 3(2a - b)=

7. 4(2x2−3x+1)−3(x2−2x+3)4(2x^2 - 3x + 1) - 3(x^2 - 2x + 3)=

8. 5(3a2−2ab+b2)−2(4a2−ab+3b2)5(3a^2 - 2ab + b^2) - 2(4a^2 - ab + 3b^2)=

9. 2a−[3b−(2a−b)]2a - [3b - (2a - b)]=

10. 3x2−[2x−(4x2−3x)+5x2]3x^2 - [2x - (4x^2 - 3x) + 5x^2]=

三、解一元一次方程（共10题）

解下列方程：

1. 2x+3=112x + 3 = 11

2. 3x−5=7x+33x - 5 = 7x + 3

3. 4(x−2)=3(x+1)4(x - 2) = 3(x + 1)

4. 5(2x−1)=3(3x+2)5(2x - 1) = 3(3x + 2)

5. x2−3=x3+1\frac{x}{2} - 3 = \frac{x}{3} + 1

6. 2x−13=x+24\frac{2x - 1}{3} = \frac{x + 2}{4}

7. 3x+12−2x−33=1\frac{3x + 1}{2} - \frac{2x - 3}{3} = 1

8. x−14−2x+16=0\frac{x - 1}{4} - \frac{2x + 1}{6} = 0


9. 0.2x−0.3=0.5x+0.60.2x - 0.3 = 0.5x + 0.6

10. 0.1x−0.20.3=0.4x+0.10.5\frac{0.1x - 0.2}{0.3} = \frac{0.4x + 0.1}{0.5}



四、综合计算（共8题）

计算下列各题：


1. (−2)3×(−3)−(−4)2÷2(-2)^3 \times (-3) - (-4)^2 \div 2

2. (−1)2025+(−2)2×3−(−3)3÷9(-1)^{2025} + (-2)^2 \times 3 - (-3)^3 \div 9

3. 先化简，再求值：2(3a2−ab+2b2)−3(2a2−2ab+b2)2(3a^2 - ab + 2b^2) - 3(2a^2 - 2ab + b^2)，其中 a=−1,b=2a = -1, b = 2。

4. 先化简，再求值：3x2y−[2xy2−2(xy−32x2y)+xy]+3xy23x^2y - [2xy^2 - 2(xy - \frac{3}{2}x^2y) + xy] + 3xy^2，其中 x=2,y=−1x = 2, y = -1。

5. 解方程：2x−13−5x+16=1\frac{2x - 1}{3} - \frac{5x + 1}{6} = 1

6. 解方程：3x+24−5x−16=112\frac{3x + 2}{4} - \frac{5x - 1}{6} = \frac{1}{12}

7. 若 ∣a−2∣+(b+3)2=0|a - 2| + (b + 3)^2 = 0，求 a2−2ab+b2a^2 - 2ab + b^2 的值。

8. 已知 A=2x2+3xy−2x−1A = 2x^2 + 3xy - 2x - 1，B=−x2+xy−1B = -x^2 + xy - 1，求 A−2BA - 2B 的值。

✕

天津人教版数学七年级上册前三章纯计算试卷

参考答案



一、有理数混合运算

1. (−3)+5−(−2)=−3+5+2=4(-3) + 5 - (-2) = -3 + 5 + 2 = 4

2. (−4)×6÷(−3)=−24÷(−3)=8(-4) \times 6 \div (-3) = -24 \div (-3) = 8

3. (−2)3+(−3)2=−8+9=1(-2)^3 + (-3)^2 = -8 + 9 = 1

4. (−1)2023−(−1)2024=−1−1=−2(-1)^{2023} - (-1)^{2024} = -1 - 1 = -2

5. (−12)÷(−4)×(−2)=3×(−2)=−6(-12) \div (-4) \times (-2) = 3 \times (-2) = -6

6. (−5)×(−3)+(−7)×2=15−14=1(-5) \times (-3) + (-7) \times 2 = 15 - 14 = 1

7. (−2)2×(−3)+4÷(−2)=4×(−3)+(−2)=−12−2=−14(-2)^2 \times (-3) + 4 \div (-2) = 4 \times (-3) + (-2) = -12 - 2 = -14

8. (−3)3÷9+(−2)2×5=−27÷9+4×5=−3+20=17(-3)^3 \div 9 + (-2)^2 \times 5 = -27 \div 9 + 4 \times 5 = -3 + 20 = 17

9. (−2)×(−3)−(−4)÷2=6−(−2)=6+2=8(-2) \times (-3) - (-4) \div 2 = 6 - (-2) = 6 + 2 = 8

10. (−1)100×5+(−2)3÷4=1×5+(−8)÷4=5−2=3(-1)^{100} \times 5 + (-2)^3 \div 4 = 1 \times 5 + (-8) \div 4 = 5 - 2 = 3

11. (−6)÷(−23)×2=(−6)×(−32)×2=9×2=18(-6) \div \left(-\frac{2}{3}\right) \times 2 = (-6) \times \left(-\frac{3}{2}\right) \times 2 = 9 \times 2 = 18

12. (−0.25)×(−4)×(−1)5=1×(−1)=−1(-0.25) \times (-4) \times (-1)^5 = 1 \times (-1) = -1


二、整式加减运算

1. 3a+2b−5a+3b=(3a−5a)+(2b+3b)=−2a+5b3a + 2b - 5a + 3b = (3a - 5a) + (2b + 3b) = -2a + 5b

2. 2x2−3x+4x2+5x=(2x2+4x2)+(−3x+5x)=6x2+2x2x^2 - 3x + 4x^2 + 5x = (2x^2 + 4x^2) + (-3x + 5x) = 6x^2 + 2x

3. 5m2n−3mn2+2m2n−mn2=(5m2n+2m2n)+(−3mn2−mn2)=7m2n−4mn25m^2n - 3mn^2 + 2m^2n - mn^2 = (5m^2n + 2m^2n) + (-3mn^2 - mn^2) = 7m^2n - 4mn^2

4. 4a2b−3ab2+2a2b−ab2=(4a2b+2a2b)+(−3ab2−ab2)=6a2b−4ab24a^2b - 3ab^2 + 2a^2b - ab^2 = (4a^2b + 2a^2b) + (-3ab^2 - ab^2) = 6a^2b - 4ab^2

5. 3(x−2y)−2(2x+y)=3x−6y−4x−2y=−x−8y3(x - 2y) - 2(2x + y) = 3x - 6y - 4x - 2y = -x - 8y

6. 2(3a−2b)+3(2a−b)=6a−4b+6a−3b=12a−7b2(3a - 2b) + 3(2a - b) = 6a - 4b + 6a - 3b = 12a - 7b

7. 4(2x2−3x+1)−3(x2−2x+3)=8x2−12x+4−3x2+6x−9=5x2−6x−54(2x^2 - 3x + 1) - 3(x^2 - 2x + 3) = 8x^2 - 12x + 4 - 3x^2 + 6x - 9 = 5x^2 - 6x - 5

8. 5(3a2−2ab+b2)−2(4a2−ab+3b2)=15a2−10ab+5b2−8a2+2ab−6b2=7a2−8ab−b25(3a^2 - 2ab + b^2) - 2(4a^2 - ab + 3b^2) = 15a^2 - 10ab + 5b^2 - 8a^2 + 2ab - 6b^2 = 7a^2 - 8ab - b^2

9. 2a−[3b−(2a−b)]=2a−[3b−2a+b]=2a−[4b−2a]=2a−4b+2a=4a−4b2a - [3b - (2a - b)] = 2a - [3b - 2a + b] = 2a - [4b - 2a] = 2a - 4b + 2a = 4a - 4b

10. 3x2−[2x−(4x2−3x)+5x2]=3x2−[2x−4x2+3x+5x2]=3x2−[5x+x2]=3x2−5x−x2=2x2−5x3x^2 - [2x - (4x^2 - 3x) + 5x^2] = 3x^2 - [2x - 4x^2 + 3x + 5x^2] = 3x^2 - [5x + x^2] = 3x^2 - 5x - x^2 = 2x^2 - 5x


三、解一元一次方程

1. 2x+3=112x + 3 = 11，移项得 2x=82x = 8，解得 x=4x = 4。

2. 3x−5=7x+33x - 5 = 7x + 3，移项得 3x−7x=3+53x - 7x = 3 + 5，即 −4x=8-4x = 8，解得 x=−2x = -2。

3. 4(x−2)=3(x+1)4(x - 2) = 3(x + 1)，去括号得 4x−8=3x+34x - 8 = 3x + 3，移项得 4x−3x=3+84x - 3x = 3 + 8，解得 x=11x = 11。

4. 5(2x−1)=3(3x+2)5(2x - 1) = 3(3x + 2)，去括号得 10x−5=9x+610x - 5 = 9x + 6，移项得 10x−9x=6+510x - 9x = 6 + 5，解得 x=11x = 11。

5. x2−3=x3+1\frac{x}{2} - 3 = \frac{x}{3} + 1，去分母得 3x−18=2x+63x - 18 = 2x + 6，移项得 3x−2x=6+183x - 2x = 6 + 18，解得 x=24x = 24。

6. 2x−13=x+24\frac{2x - 1}{3} = \frac{x + 2}{4}，去分母得 4(2x−1)=3(x+2)4(2x - 1) = 3(x + 2)，即 8x−4=3x+68x - 4 = 3x + 6，移项得 8x−3x=6+48x - 3x = 6 + 4，解得 x=2x = 2。

7. 3x+12−2x−33=1\frac{3x + 1}{2} - \frac{2x - 3}{3} = 1，去分母得 3(3x+1)−2(2x−3)=63(3x + 1) - 2(2x - 3) = 6，即 9x+3−4x+6=69x + 3 - 4x + 6 = 6，合并得 5x+9=65x + 9 = 6，移项得 5x=−35x = -3，解得 x=−35x = -\frac{3}{5}。

8. x−14−2x+16=0\frac{x - 1}{4} - \frac{2x + 1}{6} = 0，去分母得 3(x−1)−2(2x+1)=03(x - 1) - 2(2x + 1) = 0，即 3x−3−4x−2=03x - 3 - 4x - 2 = 0，合并得 −x−5=0-x - 5 = 0，解得 x=−5x = -5。

9. 0.2x−0.3=0.5x+0.60.2x - 0.3 = 0.5x + 0.6，移项得 0.2x−0.5x=0.6+0.30.2x - 0.5x = 0.6 + 0.3，即 −0.3x=0.9-0.3x = 0.9，解得 x=−3x = -3。

10. 0.1x−0.20.3=0.4x+0.10.5\frac{0.1x - 0.2}{0.3} = \frac{0.4x + 0.1}{0.5}，化简得 x−23=4x+15\frac{x - 2}{3} = \frac{4x + 1}{5}，去分母得 5(x−2)=3(4x+1)5(x - 2) = 3(4x + 1)，即 5x−10=12x+35x - 10 = 12x + 3，移项得 5x−12x=3+105x - 12x = 3 + 10，即 −7x=13-7x = 13，解得 x=−137x = -\frac{13}{7}。

四、综合计算

1. $(-2)^