Xicheng district seventh grade mathematics chapter 8 binary linear equations test questions

Fill in the blanks

1. If 3x-2y-4 = 0, then y is _ _ _ _ _ _ _ _ _ _.

2. If it is the solution of the equation AX+3Y = 2, the value of a is _ _ _ _ _.

3. If the equation 2x2a+b-4+4Y3a-2b-3 = 1 is a binary linear equation about X and Y, then the values of A and B are _ _ _ _ _ _ _ _.

4. In each logarithm, _ _ _ _ is the solution of equation 3x-2y = 9, and _ _ _ is the solution of equation x+4y = 0.

5. Four cars and five trucks can transport 27 tons at a time, and ten cars and three trucks can transport 20 tons at a time, so one car can transport _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.

Second, multiple choice questions

6. The following equation is a binary linear equation ().

(A)x2+x = 1(B)2x+3y- 1 = 0

(C)x+y-z=0 (D)x+ + 1=0

7. If the sum of and is a monomial, then ().

(A) (B)

8. If it is the solution of the equation, the values of m and n are ().

(A) (B)

9. If the equations x+y = 3, x-y = 5 and x+ky = 2 have a common * * * solution, then the value of k is ().

Article 3, paragraph 2

10. If (x+y-2) 2+| 4x+3y-7 | = 0, the value of 8x-3y is ().

(A)0 (B)-5

1 1 (D)5

Third, solve the equation

1 1. 12.

13. 14.

15. If, find the values of x, y and z 。

16. The known solution satisfies x+y = 3. Find the value of K.

Fourthly, solve application problems with equations.

17. Raise eight horses, 15 cows, and need162kg hay every day. It is known that raising five horses requires 3 kilograms more hay every day than raising seven cows. Q: How many kilograms of hay does a horse and a cow need on average every day?

18. A batch of goods is transported by train. If each section is loaded with 34 tons, there is still 18 tons left. If each section is loaded with 4 tons more, it can be loaded with 26 tons more. * * * How many stanzas are there? How many tons are there in this shipment?

19. Shortly after the evening self-study, the power went out suddenly. At this time, Xiaoxue and Xiaoming simultaneously lit two candles with a total length of 30 cm. The difference is that Xiaoxue's candle is thick and burns 5 cm per hour. Xiaoming's candle is very thin, burning 6 cm per hour. Two hours later, the phone call came in and found that Xiaoxue's remaining candles were 6 centimeters more than Xiaoming's. Xiaoxue and Xiaoming want to use the known data to find out the original length of their candles. Can you help them?

20. In order to save electricity in summer, air conditioners often take two measures: raising the set temperature and cleaning the equipment. A hotel first raised the set temperatures of A and B air conditioners by 1℃. As a result, A air conditioner saves 27 degrees more electricity than B air conditioner every day. Then clean the equipment of air conditioner B, so that the total electricity saving of air conditioner B is 1. 1 times of air conditioner A only after the temperature rises, while the regulated electricity of air conditioner A remains unchanged, so that the two air conditioners can save 405 degrees of electricity every day. How many degrees can they save every day after the temperature rises 1℃?

2 1. Group purchase park tickets, and the fares are as follows:

The number of ticket buyers (persons) exceeds1~ 5051~100100.

Ticket price per person (RMB) 13 1 1 9

There are two tour groups A and B today. If tickets are purchased separately, the total ticket fees payable by the two groups are 13 14 yuan. If you buy tickets together, the total is 1008 yuan. How many people are there in each of the two tours?

V. Answering questions

22. It is known that 4x-3y-6z = 0, x+2y-7z = 0, and none of x, y and z is zero.

23. There are three commodities A, B and C. If you buy three A's and seven B's, 1 c, * * * needs 3 15 yuan; If you buy 4 A, 10 B, 1 0 C, * * needs 420 yuan. How much does it cost to buy a, b and c now?

Reference answer

Chapter 8 Test of Binary Linear Equation

1.。 2.-4.3.2, 1.4.

5.0.5,5.6 b . 7 b . 8 b . 9d . 10 . d

1 1. 12. 13. 14. 15.

16.k=-3。

17. Suppose a horse is fed with X kilograms of hay and a cow is fed with Y kilograms of hay every day, then

solve

18. the train car has ***x sections, and the cargo is y tons, so it is solved.

19. Let Xiaoxue's candle be xcm long and Xiaoming's candle be ycm long, then the solution is obtained.

20. Assuming that after the temperature increases 1℃, type A air conditioner saves X degrees every day and type B air conditioner saves Y degrees every day, then

solve

2 1. The numbers of the two tour groups are X and Y respectively. After estimation and analysis, one of the two tour groups A and B does not exceed 50 people, and the other does not exceed 50 people but does not exceed 100 people.

Let1≤ x ≤ 50,51≤ y ≤100, according to the meaning of the question.

solve

22. The original form of generations

23. Party A, Party B and Party C need X, Y and Z yuan to buy one piece respectively, then

①× 3-②× 2: x+y+z = 105。

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