Question 1

某人帶了 400 元到市場買水果，如果他買 3 個蘋果、5 個水梨，則剩下 30 元，如果他買 5 個蘋果、4 個水梨，則剛好把錢用完，假設蘋果每個 x 元，水梨每個 y 元，則依題意可列出下列那一組聯立方程式？

Accepted Answer

https://uploads.quizalize.com/bbea196c-37f9-40f5-baf7-8dfe3f0a7720/question/94cdeac0bc5d366d2a4bba9c69f6ce1efab247a1.jpg

Answer

https://uploads.quizalize.com/bbea196c-37f9-40f5-baf7-8dfe3f0a7720/question/8257091734058c7325a7ba09fa0490db0960dc38.jpg

Answer

https://uploads.quizalize.com/bbea196c-37f9-40f5-baf7-8dfe3f0a7720/question/c14886fe622b3b362619e58454b1ed6409f83e98.jpg

Answer

https://uploads.quizalize.com/bbea196c-37f9-40f5-baf7-8dfe3f0a7720/question/50603de97a066027d8fe2ae948a633b3948ad98e.jpg

Question 2

x = 4，y = -3 是下列那一組聯立方程式的解？

Accepted Answer

https://uploads.quizalize.com/bbea196c-37f9-40f5-baf7-8dfe3f0a7720/question/e7236e511039ed7aa9fc5c975f4f03c4b9e44e56.jpg

Answer

https://uploads.quizalize.com/bbea196c-37f9-40f5-baf7-8dfe3f0a7720/question/b5f995e0cae8619220d1a46265d867afd19b8bd8.jpg

Answer

https://uploads.quizalize.com/bbea196c-37f9-40f5-baf7-8dfe3f0a7720/question/c639c4bd85bf6abee0b381e0e237d491ed16d2a2.jpg

Answer

https://uploads.quizalize.com/bbea196c-37f9-40f5-baf7-8dfe3f0a7720/question/528038d17f3d3cdd79f0544863a2c1929e86fc6b.jpg

Question 3

下列那一組 x 與 y 所代表的數是二元一次聯立方程式的解？

Accepted Answer

x = 1，y = 5

Answer

x = -3，y = -1

Answer

x = 3，y = -8

Answer

x = -1，y = 2

Question 4

下列那一組數對不是二元一次聯立方程式的解？

Accepted Answer

x = 5，y = 6

Answer

x = 1，y = -1

Answer

x = 0，y = -2

Answer

x = 3，y = 1

Question 5

解二元一次聯立方程式，求 x - y = ？

Accepted Answer

-3

Answer

-1

Answer

-2

Answer

-5

Question 6

二元一次聯立方程式，若 x = -1 為其解，則 m = ？

Accepted Answer

-4

Answer

5

Answer

4

Answer

-5

Question 7

已知兩組二元一次聯立方程式有相同的解，則 a、b 之值為何？

Accepted Answer

a = 1，b = 4

Answer

a = 2，b = 1

Answer

a = -1，b = 2

Answer

a = 1，b = 2

Question 8

小明解二元一次聯立方程式時，不小心將第 2 式中的 -8 看錯，除此並無其他錯誤，解得 y = -3，請問小明將 -8 看成多少？

Accepted Answer

-3

Answer

-5

Answer

0

Answer

3

Question 9

6 年前父親的歲數是兒子歲數的 3 倍；6 年後父親的歲數是兒子歲數的 2 倍，設父親現在 x 歲，兒子現在 y 歲，則依題意可列出下列那一組聯立方程式？

Accepted Answer

https://uploads.quizalize.com/bbea196c-37f9-40f5-baf7-8dfe3f0a7720/question/d972e63e99bbee9304f7e880d1faf1e623a85280.jpg

Answer

https://uploads.quizalize.com/bbea196c-37f9-40f5-baf7-8dfe3f0a7720/question/bc9e3856edc8ec7aa21909399b66f3a274e8fef5.jpg

Answer

https://uploads.quizalize.com/bbea196c-37f9-40f5-baf7-8dfe3f0a7720/question/8841ffe18bc67802dc3d10a4667fe26a122a9c28.jpg

Answer

https://uploads.quizalize.com/bbea196c-37f9-40f5-baf7-8dfe3f0a7720/question/6b672d0dbb2db80e33ce5a3a625a991de422f20f.jpg

Question 10

若 x = 4，y = 1 為聯立方程式的解，則 a + b = ？

Accepted Answer

-3

Answer

-2

Answer

-4

Answer

-1

Question 11

已知大小兩數的和為 21，兩數的差為 5，則大數為何？

Accepted Answer

13

Answer

8

Answer

12

Answer

9

Question 12

已知某分數的分母比分子大 5，分子的 3 倍比分母大 1，則此分數的分母為何？

Accepted Answer

8

Answer

11

Answer

10

Answer

9

Question 13

已知小華有甲、乙兩種不同面額的郵票，若寄郵資 29 元的信，需貼甲郵票 3 張、乙郵票 4 張；若寄郵資 63 元的信，需貼甲郵票 7 張、乙郵票 8 張，請問甲郵票面額多少元？

Accepted Answer

5

Answer

3.5

Answer

2.5

Answer

7

Question 14

已知一長方形的周長為 42 公分，且長比寬的 2 倍少 6，則此長方形面積為多少？

Accepted Answer

108

Answer

90

Answer

104

Answer

98

Question 15

已知阿福生日的日數和月份的和是 21，月份的 4 倍和日數相加為 27，則阿福是幾月出生？

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 16

已知小歐比小康大 9 歲，且兩人的年齡和為 57 歲，則小歐的年齡為何？

Accepted Answer

33

Answer

34

Answer

32

Answer

31

Question 17

壯太的撲滿中有 5 元和 10 元的硬幣共 70 個，恰好可換 500 元紙鈔一張，則 5 元硬幣和 10 硬幣相差多少個？

Accepted Answer

10

Answer

30

Answer

20

Answer

無解

Question 18

玫瑰戀人花店所賣的花朵中，4 朵玫瑰的價錢和 5 朵百合的價錢相等，而 5 朵玫瑰和 8 朵百合的價錢共 285 元，則玫瑰、百合各一朵共需多少元？

Accepted Answer

45

Answer

50

Answer

40

Answer

55

Question 19

把 31 分成甲、乙兩數，甲的 $\frac{1}{3}$ 與乙的 $\frac{1}{5}$ 的和為 9，則甲、乙兩數的差為多少？

Accepted Answer

11

Answer

9

Answer

15

Answer

13

Question 20

鄧肯在籃球比賽中投進 3 分球與 2 分球共 8 球，得 21 分，則下列敘述何者錯誤？

Accepted Answer

3 分球比 2 分球多進 1 球

Answer

2 分球的進球數是質數

Answer

3 分球的進球數是質數

Answer

3 分球與 2 分球的進球數都是奇數

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