Question 1

下列何者是一元一次方程式？

Accepted Answer

2 + x = 0

Answer

4 - x

Answer

$x^2$ - x + 1 = 0

Answer

x - 2y = 0

Question 2

將一元一次方程式 5x + 2 = 8 根據下列那一個等量公理可化成 5x = 8 - 2？

Accepted Answer

等量減法公理

Answer

等量除法公理

Answer

等量加法公理

Answer

等量乘法公理

Question 3

解一元一次方程式 x = $\frac{1}{4}$x，得到 x =？

Accepted Answer

0

Answer

$\frac{1}{4}$

Answer

1

Answer

$\frac{1}{2}$

Question 4

若 ( -18 ) $\div$ (3x ) = 6，則 x = ？

Accepted Answer

-1

Answer

-9

Answer

-3

Answer

-12

Question 5

當天平平衡時，請問天平的左秤盤上 3 個等重的小球，每一個重多少公克？

Accepted Answer

8

Answer

6

Answer

12

Answer

4

Question 6

x = -5 為下列那一個一元一次方程式的解？

Accepted Answer

2x + 5 = x

Answer

-x + 3 = 15

Answer

3( x- 5 ) = 0

Answer

5x = 0

Question 7

解方程式 2x - ( 5x + 16 ) = 3 - 2( 3x - 4 )，得 x = ？

Accepted Answer

9

Answer

-6

Answer

11

Answer

6

Question 8

解方程式 3x - 4 = 2x - 1

Accepted Answer

3

Answer

-3

Answer

-1

Answer

1

Question 9

下列 x 的方程式中，那一個的解最大？

Accepted Answer

-5x + 11 = -2$\frac{1}{5}$

Answer

5x - 11 = -2$\frac{1}{5}$

Answer

-5x - 11 = 2$\frac{1}{5}$

Answer

5x + 11 = -2$\frac{1}{5}$

Question 10

解方程式 6x = 3x，則 x = ？

Accepted Answer

0

Answer

1

Answer

2

Answer

無解

Question 11

解一元一次方程式 x + $\frac{1}{3}$( x - 2 ) = 7，可得 x = ？

Accepted Answer

$\frac{23}{4}$

Answer

$\frac{4}{23}$

Answer

$\frac{4}{9}$

Answer

$\frac{9}{4}$

Question 12

解方程式 x = 14 + $\frac{x}{3}$ + $\frac{x}{9}$ +$\frac{x}{27}$ ，求 x 之值為何？

Accepted Answer

27

Answer

7

Answer

14

Answer

21

Question 13

-12  與 8 同時減去 a 後，恰好成為相反數，則 a = ？

Accepted Answer

-2

Answer

1

Answer

2

Answer

-1

Question 14

若 x = 1 為方程式 $\frac{-4x+7}{3}$ + $\frac{3x-3m}{2}$ = m 之解，則 m = ？

Accepted Answer

1

Answer

2

Answer

3

Answer

4

Question 15

下列那一個方程式的解與 3x - 2 = 4 的解相同？

Accepted Answer

4x + 3 = 3x + 5

Answer

$\frac{x - 1}{4}$ = 2

Answer

$\frac{3x}{2}$ = $\frac{x - 1}{3}$

Answer

3x - 2 = 7

Question 16

已知 x 為正整數，則方程式 3x + 1 = 5x + 6 的解為下列何者？

Accepted Answer

無解

Answer

-$\frac{5}{2}$

Answer

$\frac{5}{2}$

Answer

-$\frac{2}{5}$

Question 17

解方程式  0.8( x + 0.2x ) - x = 4，得 x = ？

Accepted Answer

-100

Answer

$\frac{43}{20}$

Answer

100

Answer

$\frac{20}{43}$

Question 18

已知父子現在年齡和為 43 歲，且父親的年齡比兒子的年齡 2 倍多 4 歲，設兒子現年 x 歲，則依題意可列出 x 的方程式為何？

Accepted Answer

43 - x = 2x + 4

Answer

43 + x = 2x + 4

Answer

( 2x + 4 ) -x = 43

Answer

x + ( 2x - 4 ) = 43

Question 19

小明心裡想好一個整數，先將此數乘以 6 ，再加上 7 ，則所得的結果不可能是下列那一個數？

Accepted Answer

-18

Answer

25

Answer

-5

Answer

7

Question 20

若 x = 3 是方程式 mx + 31 = 16 的解，則 m = ？

Accepted Answer

-5

Answer

-$\frac{1}{5}$

Answer

5

Answer

$\frac{1}{5}$

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