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一、填空题
1. 方程$5x - 8 = 7$的解为
1. 方程$5x - 8 = 7$的解为
x=3
。答案
1. x=3
2. 方程$-\dfrac{1}{3}x+2=-2x$的解为
$x=-\dfrac{6}{5}$
答案
$2. x=-\dfrac{6}{5}$
3. 方程$2x - 4(x + 5) = -5$的解为
$x=-\dfrac{15}{2}$
.答案
$3. x=-\dfrac{15}{2}$
4. 方程$-\dfrac{1}{3}(x-4)+2x=-1$的解为
$x=-\dfrac{7}{5}$
。答案
$4. x=-\dfrac{7}{5}$
5. 方程$\dfrac{2-3x}{5}=-1$的解为
$x=\dfrac{7}{3}$
答案
$5. x=\dfrac{7}{3}$
6. 已知关于$x$的方程$\frac{2x-1}{3}=\frac{x-a}{2}-1$的解为$x=-10$,则$a=$
2
. 若嘉琪解该方程去分母时,等式右边的-1忘记乘6,则嘉琪解得方程的解为x=-5
.答案
6. a=2，x=-5
二、解方程
7. $10x - 2 = 4 - 2x$
8. $3(2x + 5) = 2(4x + 3) - 3$
9. $4x + 3(2x - 3) = 12 - (x + 4)$
10. $6(\frac{1}{2}x - 4) + 2x = 7 - (\frac{1}{3}x - 1)$
11. $\frac{3x + 2}{2} - 1 = \frac{2x - 1}{4} - \frac{2x + 1}{5}$
12. $\frac{0.5x + 0.1}{0.6} - \frac{1.5 - x}{2} = -2.5$
13. $x - \frac{x - 1}{2} = 2 - \frac{x + 18}{5}$
14. $\frac{2x}{0.03} + \frac{0.25 - 0.1x}{0.02} = \frac{1}{6}$
7. $10x - 2 = 4 - 2x$
8. $3(2x + 5) = 2(4x + 3) - 3$
9. $4x + 3(2x - 3) = 12 - (x + 4)$
10. $6(\frac{1}{2}x - 4) + 2x = 7 - (\frac{1}{3}x - 1)$
11. $\frac{3x + 2}{2} - 1 = \frac{2x - 1}{4} - \frac{2x + 1}{5}$
12. $\frac{0.5x + 0.1}{0.6} - \frac{1.5 - x}{2} = -2.5$
13. $x - \frac{x - 1}{2} = 2 - \frac{x + 18}{5}$
14. $\frac{2x}{0.03} + \frac{0.25 - 0.1x}{0.02} = \frac{1}{6}$
答案
$7. x=\dfrac{1}{2}$
8. x=6
$9. x=\dfrac{17}{11}$
10. x=6
$11. x=-\dfrac{9}{28}$
$12. x=-\dfrac{23}{16}$
13. x=-3
$14. x=-\dfrac{1}{5}$
8. x=6
$9. x=\dfrac{17}{11}$
10. x=6
$11. x=-\dfrac{9}{28}$
$12. x=-\dfrac{23}{16}$
13. x=-3
$14. x=-\dfrac{1}{5}$
