Class name, student number score

I. Fill in the blanks (3 points for each small question, 36 points for * * *)

1, x=5 equation =2x-7 solution. (Fill in "Yes" or "No")

2. After solving the equation and removing the denominator, the equation is transformed into.

D

C

B

A

3. A factory is expected to increase production by 15% this year compared with last year, with an annual output of 600,000 tons. Assuming that the output of this factory was x million tons last year, this equation can be established.

4. As shown by Rt△ABC, ∠ACB=90? ,

CD⊥AB in D, if ∠B=32? So ∠ACD=?

5. If |x-3|=2, then x= or

6. If x= 1 is the solution of the equation, then K=.

7. Transform the equation 3x+7y=9 into an algebraic expression with y to represent x=.

8. The positive integer solution of equation 2x+3y= 12 is as follows.

9. Each inner angle of a regular dodecagon is equal to 10 degree.

10, solve the equation by addition and subtraction, eliminate the unknown y, and get a linear equation.

be

1 1. In △ABC, AC= 13cm and AB=8cm, then the length of BC should be greater than and less than cm.

12. In order to green our hometown, 45 outstanding members of our school went to the suburbs to plant trees. Six girls planted all kinds of trees, and eight boys planted all kinds of trees. After the labor, 320 trees were planted. Suppose there are x male students and y female students in the excellent league members. According to the meaning of the question, the equation can be listed as follows.

Second, multiple-choice questions (3 points for each small question, ***24 points)

1, if the ratio of three internal angles of a triangle is 2:3:5, then the triangle is ().

A, acute triangle B, right triangle C, obtuse triangle D, unable to judge.

2. A set of line segments that cannot form a triangle is ()

a、 15cm、 10cm、7cm B、4cm、5cm、 10cm

C, 8cm, 8cm, 2cm d, 2cm, 3cm, 4cm

3. Solving the equation deformation is correct ()

A, from 2(x-3)-3(x+ 1)=2, 2x-3-3x+3=2.

B, from -6x=-5, x=-

c，from，4(x+2)+3(2x- 1)=4。

D, from 1-, get 1-

4. Only one polygon is used to pave the ground, but what cannot be covered with the ground is ().

A, triangle b, quadrilateral c, regular pentagon d, regular hexagon

5. If the ratio of the sum of inner angles to the sum of outer angles of a polygon is 7:2, then the number of sides of the polygon is ().

a、7 B、8 C、9 D、 10

B

A

C

D

E

6, is the solution of the equation, then the value of a+b is ()

a、 1 B、2 C、3 D、4

7. As the five-pointed star shows, the sum of ∠A+∠B+∠C+∠D+∠E is ()

A, 180 b, 360 c, 540 d, uncertain.

8. In order to cultivate citizens' habit of saving water, a waterworks in a certain city stipulated that the water consumption should not exceed 10 ton, and 0.8 yuan should be charged for each ton, and 1.5 yuan should be charged for the part exceeding 10 ton. The average water fee of Xiaohua's family in March was per ton 1 yuan, so Xiaohua's family used tons of water in March.

a、 12 B、 14 C、 16 D、20

Third, solve the equation (group) (1 5, 2 questions, 10, 3 questions, ***20 points)

1、4(x+ 1)= 1-2(x-3) 2、

3. (Two solutions are needed)

4. Answer questions (8 points for each small question, 24 points for * * *)

1. As we all know, sum satisfies the equation y = kx+b.

(1) Find the values of k and b.

(2) What is the value of x? y=3。

2. As shown in the figure, in △ABC, AD is divided by ∠BAC, ∠ B = 42, ∠ C = 54 to find the degree of ∠ADC.

A

B

C

D

3. As shown in figure ∠ A = 120, ∠ B = 100, ∠ C = 140, try to judge whether AE and CD are parallel, and explain the reasons.

A

E

D

C

B

Verb (abbreviation of verb) practical exploration questions (8 points for each small question, *** 16 points)

1. Xiaoming's father saved 3,000 yuan for Xiaoming's education three years ago, and the sum of principal and interest due this year is 3,243 yuan. Please help Xiao Ming calculate the interest rate of this deposit.

2. The admission price of the zoo is shown in the following table. Two classes of Grade One (1) and (2) in a certain school visited the zoo, among which (1) were less than 50 people and (2) were more than 50 people. If both classes purchase tickets separately by class, then one * * will pay 1207 yuan; If two classes join hands to buy tickets, they only need to pay 909 yuan.

Number of tickets purchased

1-50 people

5 1- 100 people

More than 100 people

Ticket price per person

13 yuan

1 1 yuan

9 yuan

(1) How to judge whether the total number of students in two classes exceeds 100? Tell me your understanding.

(2) Find the number of students in two classes by listing equations or equations.

(3) If the two classes don't buy tickets jointly, do students in Grade One (1) have to buy tickets for 13 yuan? Is there any way you can save money to buy tickets for them? Tell me your reasons.

(4) Do you think it is possible that the amount of money for buying tickets between 5 1- 100 people is equal to the amount of money for more than 100 people? If so, please write down this possibility.