The solution of 1. equation is ()
A.x=0 B. x= 1 C.x=2 D.x=3
2. If 2x-7y=8, then it is correct to represent x () with the algebraic expression of y..
A.B. C. D。
3. The following statement is true ()
A. A linear equation with one variable must have only one solution; B the binary linear equation x+y = 2 has countless solutions;
C. Equation 2x = 3x has no solution; D. the value of the unknown quantity in the equation is the solution of the equation.
Xiao Ming accidentally polluted a constant in the equation when he was solving it. The pollution equation is 2y- = y-●. what should he do ？ Xiao Ming thought about it and looked at the answer at the back of the book. The solution of this equation is y =-
This constant is filled up quickly, and it should be ().
A. 1
5. The following inequality is a one-dimensional linear inequality ().
A.2( 1-y)>4y+2 b . x(2-x)≥ 1 c .+>d . x+l & lt； y+2
6. The number of positive integer solutions of inequality 2x-2≥3x-4 is ().
1。
7. The value of algebraic expression 1-m is greater than-1 and not greater than 3, so the value range of m is ().
8. The following statement is wrong ()
A. The midline, angle bisector and height line of a triangle are all line segments;
B the sum of the external angles of any triangle is 3600;
C. Triangles can be divided into equilateral triangles and isosceles triangles according to their sides;
D. One external angle of a triangle is greater than any internal angle.
9. In △ABC, ∠ A-∠A-∠B = 900, then △ABC is a () triangle.
A. acute triangle; B. right triangle; C. obtuse triangle; D. not sure
10. If you want to restore the original price of a commodity after a price increase of 20%, the percentage that must be reduced is about ().
a . 17%； b . 18%； c . 19%； D. 20%
Fill in the blanks (3 points for each small question, 33 points for * * *)
1 1. A number plus 5 equals twice its minus 9. Let a number be x and get the equation.
12. If +(x+2y) 2 = 0, then x = _ _ _ _ _ _ and y = _ _ _ _ _ _
13. in the equation Y = KX+B, when X = 0, y =-1; When x = 1 and y = 2, then k = _ _ _ _, and b = _ _ _ _.
14. The picture shows the price tag of a shampoo in "Star Supermarket".
So the original price of this shampoo is.
15. The lengths of the three sides of the triangle are 41-2a,7 respectively, so the value range of a is
16. A test paper * * * has 20 multiple-choice questions, with a total score of 100. If each question is selected correctly, score 5 points, and if it is selected incorrectly, deduct 1 point. If a student gets at least 88 points, he will at least choose _ _ _ _ _.
17. The solution set of inequality group is
18. Find the number of times ∠ 1 in the figure below.
19. A depositor deposited 25,000 yuan in the bank for one year, and deducted 20% interest income tax when taking it out, and got 25,396 yuan. Ask the depositor for the kind of interest rate.
If _ _ _ _ _ _ _ _ _ _ _ _, the equation (or equation) listed is _ _ _ _ _ _ _ _ _ _.
20. As shown in the figure, ∠A=280, ∠B=420, ∠DFE= 1300, then ∠C= degrees.
2 1. If 3x+7y+z = 5 and 4x+Loy+z = 3, then the value of x+y+z is equal to _ _ _ _.
Iii. Drawing problems (please keep drawing traces, ***6 points)
22. Please make an obtuse triangle at will and make the heights of its three sides.
Four, solving equations (or equations) (23 small 5 points, 24~26 small 6 points, ***23 points)
23.3x-2=5x+6 24。
25.26.
V. Answer questions (6 points for 27 minor questions, 9 points for each minor question for 28~30 minor questions, and 33 points for * * *).
27. When k takes any value, its value is smaller than its value 1.
28. It is known that the solution of the equation is the same as that of the equation, so find A and B. 。
29. Given the same symbol as the value of, find the value range of A. ..
30. As shown in the figure, in △ABC, AD is the angular bisector, ∠B=660, ∠C=540. Find the degree of ∠ADB and ∠ADC
Class: Name: Student ID:
First, multiple-choice questions (3 points for each small question, 30 points for * * *)
The solution of 1. equation is ()
A.x=0 B. x= 1 C.x=2 D.x=3
2. If 2x-7y=8, then it is correct to represent x () with the algebraic expression of y..
A.B. C. D。
3. The following statement is true ()
A. A linear equation with one variable must have only one solution; B the binary linear equation x+y = 2 has countless solutions;
C. Equation 2x = 3x has no solution; D. the value of the unknown quantity in the equation is the solution of the equation.
Xiao Ming accidentally polluted a constant in the equation when he was solving it. The pollution equation is 2y- = y-●. what should he do ？ Xiao Ming thought about it and looked at the answer at the back of the book. The solution of this equation is y =-
This constant is filled up quickly, and it should be ().
A. 1
5. The following inequality is a one-dimensional linear inequality ().
A.2( 1-y)>4y+2 b . x(2-x)≥ 1 c .+>d . x+l & lt； y+2
6. The number of positive integer solutions of inequality 2x-2≥3x-4 is ().
1。
7. The value of algebraic expression 1-m is greater than-1 and not greater than 3, so the value range of m is ().
8. The following statement is wrong ()
A. The midline, angle bisector and height line of a triangle are all line segments;
B the sum of the external angles of any triangle is 3600;
C. Triangles can be divided into equilateral triangles and isosceles triangles according to their sides;
D. One external angle of a triangle is greater than any internal angle.
9. In △ABC, ∠ A-∠A-∠B = 900, then △ABC is a () triangle.
A. acute triangle; B. right triangle; C. obtuse triangle; D. unable to determine
10. If you want to restore the original price of a commodity after a price increase of 20%, the percentage that must be reduced is about ().
a . 17%； b . 18%； c . 19%； D. 20% .
Fill in the blanks (3 points for each small question, 33 points for * * *)
1 1. A number plus 5 equals twice its minus 9. Let a number be x and get the equation.
12. If +(x+2y) 2 = 0, then x = _ _ _ _ _ _ and y = _ _ _ _ _ _
13. in the equation Y = KX+B, when X = 0, y =-1; When x = 1 and y = 2, then k = _ _ _ _, and b = _ _ _ _.
14. The picture shows the price tag of a shampoo in "Star Supermarket".
So the original price of this shampoo is.
15. The lengths of the three sides of the triangle are 41-2a,7 respectively, so the value range of a is
16. A test paper * * * has 20 multiple-choice questions, with a total score of 100. If each question is selected correctly, score 5 points, and if it is selected incorrectly, deduct 1 point. If a student gets at least 88 points, he will at least choose _ _ _ _ _.
17. The solution set of inequality group is
18. Find the number of times ∠ 1 in the figure below.
( 1) (2) (3)
19. A depositor deposited 25,000 yuan in the bank for one year, and deducted 20% interest income tax when taking it out, and got 25,396 yuan. Ask the depositor for the kind of interest rate.
If _ _ _ _ _ _ _ _ _ _ _ _, the equation (or equation) listed is _ _ _ _ _ _ _ _ _ _.
20. As shown in the figure, ∠A=280, ∠B=420, ∠DFE= 1300, then ∠C= degrees.
2 1. If 3x+7y+z = 5 and 4x+Loy+z = 3, then the value of x+y+z is equal to _ _ _ _.
Iii. Drawing problems (please keep drawing traces, ***6 points)
22. Please make an obtuse triangle at will and make the heights of its three sides.
Four, solving equations (or equations) (23 small 5 points, 24~26 small 6 points, ***23 points)
23.3x-2=5x+6 24。
25.26.
V. Answer questions (6 points for 27 minor questions, 9 points for each minor question for 28~30 minor questions, and 33 points for * * *).
27. When k takes any value, its value is smaller than its value 1.
28. It is known that the solution of the equation is the same as that of the equation, so find A and B. 。
29. Given the same symbol as the value of, find the value range of A. ..
30. As shown in the figure, in △ABC, AD is the angular bisector, ∠B=660, ∠C=540. Find the degree of ∠ADB and ∠ADC
Six, column equation (group) to solve application problems (*** 10)
3 1. The ticket prices of People's Park are as follows:
Number of ticket buyers1~ 40,41~ 80,80 people.
Admission price per person 10 yuan, 8 yuan and 9 yuan.
A total of 85 students from Grade Three (1) and (2) in a school visited People's Park. Among them, (1) class is a small class with fewer students, and (2) class has more students. It is estimated that if two classes buy tickets separately, it will cost 65438 more than two classes combined.
Seven, comprehensive questions (* *15 points)
32. In order to choose the monitor from students A and B, a class conducted a speech defense and democratic evaluation. Five teachers, A, B, C, D and E, as judges, evaluated the situation of "speech defense", and 50 students in the whole class participated in the democratic evaluation. The results are shown in the following table:
Table 1 speech defense score table (unit: points)
A B C D E
90 92 94 95 88
B 89 86 87 94 9 1
Table 2 Statistics of democratic evaluation votes (unit: Zhang)
"Good" ticket "Good" ticket "Ordinary" ticket
A 40 7 3
B 42 4 4
Rules: The score of speech defense is determined by the method of "removing a highest score and a lowest score, and then calculating the average score"; Democratic evaluation score = 2 points for "good" votes+0 points for "better" votes 1 point+0 points for "ordinary" votes; Comprehensive score = speech defense score (1-a)+ democratic evaluation score a.
(1) When a=0.6, what is the comprehensive score of A?
2) In what range does A score high? In what range is the comprehensive score of A and B high?
Six, column equation (group) to solve application problems (*** 10)
3 1. The ticket prices of People's Park are as follows:
Number of ticket buyers1~ 40,41~ 80,80 people.
Admission price per person 10 yuan, 8 yuan and 9 yuan.
A total of 85 students from Grade Three (1) and (2) in a school visited People's Park. Among them, (1) class is a small class with fewer students, and (2) class has more students. It is estimated that if two classes buy tickets separately, it will cost 65438 more than two classes combined.
Seven, comprehensive questions (* *15 points)
32. In order to choose the monitor from students A and B, a class conducted a speech defense and democratic evaluation. Five teachers, A, B, C, D and E, as judges, evaluated the situation of "speech defense", and 50 students in the whole class participated in the democratic evaluation. The results are shown in the following table:
Table 1 speech defense score table (unit: points)
A B C D E
90 92 94 95 88
B 89 86 87 94 9 1
Table 2 Statistics of democratic evaluation votes (unit: Zhang)
"Good" ticket "Good" ticket "Ordinary" ticket
A 40 7 3
B 42 4 4
Rules: The score of speech defense is determined by the method of "removing a highest score and a lowest score, and then calculating the average score"; Democratic evaluation score = 2 points for "good" votes+0 points for "better" votes 1 point+0 points for "ordinary" votes; Comprehensive score = speech defense score (1-a)+ democratic evaluation score a.
(1) When a=0.6, what is the comprehensive score of A?
(2) In what range does A score high? In what range is the comprehensive score of A and B high?
Class: Name: Student ID:
First, multiple-choice questions (3 points for each small question, 30 points for * * *)
The solution of 1. equation is ()
A.x=0 B. x= 1 C.x=2 D.x=3
2. If 2x-7y=8, then it is correct to represent x () with the algebraic expression of y..
A.B. C. D。
3. The following statement is true ()
A. A linear equation with one variable must have only one solution; B the binary linear equation x+y = 2 has countless solutions;
C. Equation 2x = 3x has no solution; D. the value of the unknown quantity in the equation is the solution of the equation.
Xiao Ming accidentally polluted a constant in the equation when he was solving it. The pollution equation is 2y- = y-●. what should he do ？ Xiao Ming thought about it and looked at the answer at the back of the book. The solution of this equation is y =-
This constant is filled up quickly, and it should be ().
A. 1
5. The following inequality is a one-dimensional linear inequality ().
A.2( 1-y)>4y+2 b . x(2-x)≥ 1 c .+>d . x+l & lt； y+2
6. The number of positive integer solutions of inequality 2x-2≥3x-4 is ().
1。
7. The value of algebraic expression 1-m is greater than-1 and not greater than 3, so the value range of m is ().
8. The following statement is wrong ()
A. The midline, angle bisector and height line of a triangle are all line segments;
B the sum of the external angles of any triangle is 3600;
C. Triangles can be divided into equilateral triangles and isosceles triangles according to their sides;
D. One external angle of a triangle is greater than any internal angle.
9. In △ABC, ∠ A-∠A-∠B = 900, then △ABC is a () triangle.
A. acute triangle; B. right triangle; C. obtuse triangle; D. not sure
10. If you want to restore the original price of a commodity after a price increase of 20%, the percentage that must be reduced is about ().
a . 17%； b . 18%； c . 19%； D. 20% .
Fill in the blanks (3 points for each small question, 33 points for * * *)
1 1. A number plus 5 equals twice its minus 9. Let a number be x and get the equation.
12. If +(x+2y) 2 = 0, then x = _ _ _ _ _ _ and y = _ _ _ _ _ _
13. in the equation Y = KX+B, when X = 0, y =-1; When x = 1 and y = 2, then k = _ _ _ _, and b = _ _ _ _.
14. The picture shows the price tag of a shampoo in "Star Supermarket".
So the original price of this shampoo is.
15. The lengths of the three sides of the triangle are 41-2a,7 respectively, so the value range of a is
16. A test paper * * * has 20 multiple-choice questions, with a total score of 100. If each question is selected correctly, score 5 points, and if it is selected incorrectly, deduct 1 point. If a student gets at least 88 points, he will at least choose _ _ _ _ _.
17. The solution set of inequality group is
18. Find the number of times ∠ 1 in the figure below.
( 1) (2) (3)
19. A depositor deposited 25,000 yuan in the bank for one year, and deducted 20% interest income tax when taking it out, and got 25,396 yuan. Ask the depositor for the kind of interest rate.
If _ _ _ _ _ _ _ _ _ _ _ _, the equation (or equation) listed is _ _ _ _ _ _ _ _ _ _.
20. As shown in the figure, ∠A=280, ∠B=420, ∠DFE= 1300, then ∠C= degrees.
2 1. If 3x+7y+z = 5 and 4x+Loy+z = 3, then the value of x+y+z is equal to _ _ _ _.
Iii. Drawing problems (please keep drawing traces, ***6 points)
22. Please make an obtuse triangle at will and make the heights of its three sides.
Four, solving equations (or equations) (23 small 5 points, 24~26 small 6 points, ***23 points)
23.3x-2=5x+6 24。
25.26.
V. Answer questions (6 points for 27 minor questions, 9 points for each minor question for 28~30 minor questions, and 33 points for * * *).
27. When k takes any value, its value is smaller than its value 1.
28. Given that the equation and the equation have the same solution, find A and B..
29. Given the same symbol as the value of, find the value range of A. ..
30. As shown in the figure, in △ABC, AD is the angular bisector, ∠B=660, ∠C=540. Find the degree of ∠ADB and ∠ADC
Six, column equation (group) to solve application problems (*** 10)
3 1. The ticket prices of People's Park are as follows:
Number of ticket buyers1~ 40,41~ 80,80 people.
Admission price per person 10 yuan, 8 yuan and 9 yuan.
A total of 85 students from Grade Three (1) and (2) in a school visited People's Park. Among them, (1) class is a small class with fewer students, and (2) class has more students. It is estimated that if two classes buy tickets separately, it will cost 65438 more than two classes combined.
Seven, comprehensive questions (* *15 points)
32. In order to choose the monitor from students A and B, a class conducted a speech defense and democratic evaluation. Five teachers, A, B, C, D and E, as judges, evaluated the situation of "speech defense", and 50 students in the whole class participated in the democratic evaluation. The results are shown in the following table:
Table 1 speech defense score table (unit: points)
A B C D E
90 92 94 95 88
B 89 86 87 94 9 1
Table 2 Statistics of democratic evaluation votes (unit: Zhang)
"Good" ticket "Good" ticket "Ordinary" ticket
A 40 7 3
B 42 4 4
Rules: The score of speech defense is determined by the method of "removing a highest score and a lowest score, and then calculating the average score"; Democratic evaluation score = 2 points for "good" votes+0 points for "better" votes 1 point+0 points for "ordinary" votes; Comprehensive score = speech defense score (1-a)+ democratic evaluation score a.
(1) When a=0.6, what is the comprehensive score of A?
(2) In what range does A score high? In what range is the comprehensive score of A and B high?