Mathematics examination paper for the final exam of the first semester of the school year.
Time: 100 minutes, total score: 150, volume 1 (full score: 100)
I. Fill in the blanks (2 points for each question, 30 points for * * *)
1, 4xyz is a sub-monomial with a coefficient of
2.x2-2xy+y2 is a polynomial of degree.
The linear coefficient of 3.3x2-x+ is, and the constant term is.
4. If x+y= 1, then x= (X is represented by y).
5. If A stands for positive number, then -a stands for (fill in positive number, negative number or zero).
6. Arrange ax4+ax+bx2 in ascending order of X..
7. Merge similar items: 5x3-6xy2-7x3+3xy2=
8. Delete the brackets: -(a+b)+(c-d)= 1
9. If 2x=5-5x, 2x+=5.
10, when n=, the monomials 5a2bn and 3a2b4 are similar terms.
1 1. To make the equation = x=y, both sides of the equation must be multiplied at the same time.
12, and the equation with equal sign is called equation.
13, according to the condition column equation: 2 times x plus 5 equals 7 times x minus 2:
14, 15% salt in one kilogram of brine, salt grams (expressed by algebraic expression).
15, both parties ride bicycles from two places 70km apart at the same time. It is known that Party A travels 20km every morning and Party B travels 15km every hour, so we meet after work.
Second, choose (there is only one correct answer, 3 points for each question ***30 points)
16, in the following categories, is not algebra ()
a、5aB、C、6D、x=3
The degree of 17 and polynomial 2x2y-3x3y2+4x2-8 1 is ().
a、 12B、4C、5D、3
18, in the following, belongs to the polynomial is ().
a、2+3B、a=bC、a+bD、5x2
19, in the following equation, belongs to the equation is ().
a、5-3=2B、4x+5= 1C、4×4= 16D、a+b=b+a
20, the solution of the following equation is correct ()
A, solving equation: =5B, solving equation: 2x- 1=-x+5.
Solution: =5=x= 10 solution: 2x-x=5- 1.
∴x=4
C, solving the equation: -y= 1D, solving the equation: -= 1.
Solution: -y= 1 solution: 2x-3x+ 1=6.
y= 1-x=5
∴y=∴x=-5
22. Equation x+a=4 The solution of X is 3, so the value of A is ().
a、 1B、 1C、2D、2
23, the following actions, the correct is ()
A, 5x+4x=5B of 5x=4x+5 and x =13 of x= 13-6.
c，3x-2x =- 1D from 3x- 1 = 2x，5x+7x=6- 1 from 5x+6 = 7x。
24.a-2b-3c+d=a- (), and all items in brackets are correct ().
a 、-2b+3c-dB、2b+3c-dC、2b-3c-dD 、-2b-3c+d
25. If the algebraic expression 1-2(-x) is equal to 2, then the value of x is equal to ().
a 、-BC 、- 1D、 1
Iii. Answering questions (5 points for each small question, 25 points for * * *)
26. Solve equation 5x-4=2x- 1.
27. Merge similar items: 5a-3x+4a+8x-5ax-2x.
28. Solve the equation:+1=3x
29. Solve the equation: -= 1
30. Simplify 3a-[6a+(4a-5b)- 10b]
Four, (7 points)
3 1, a project, Party A independently completed 10 day, Party B independently completed 15 day. How many days does it take two people to work together?
Verb (abbreviation of verb) (8 points)
32. Simplify the assessment
5a2+(-2a2)-8a3+6a2-a3 where a=- 1.
Volume II (50 in total)
Fill in the blanks (3 points for each question, *** 15 points)
33 、+2x2+bx-9=x3-6
34. If ∣a+3∣+(b- 1)2=0, then -b=
35.x=- 1 is the solution of equation x+ 1=-x+a, then 1-a-a2=
36. If the algebraic expression -a is equal to-1, then a=
37, known equation ∣2x+3∣= 1, then x=
Seven, (6 points)
38. Solve the equation [(y-3)-3]-3=0.
Eight, (7 points)
39. Simplify the assessment
6 (x-y) n-2 (x+y) 3n-2 (x-y) n+7 (x+y) 3n-(x+y) 2m+5 (x+y) 3n-4 (x-y) n, where x = 0.84 and y =
Nine, column equation to solve application problems (7 points)
40, a workshop female workers accounted for the number of the whole workshop, and transferred four female workers, female workers accounted for the number of the whole workshop, asked the original workshop * * * how many people?
Ten (7 points)
4 1, a 3-digit number, the number in the tenth place is a, the number in the hundredth place is twice that in the tenth place, and the number in the single digit is 2 less than that in the hundredth place.
1) uses algebraic expressions to represent this three-digit number.
2) When a=4, find this three-digit number.
Eleven, column equation to solve application problems (8 points)
42. There is a ship sailing between A and B, 3 hours downstream and 5 hours upstream. As we all know, the speed of water flow is 2 kilometers per hour. Find the distance between a and b. ..