Can you tell me a few more questions about the calculation of unary equations?

1. True/False:

1) Determine whether the following equation is a univariate equation:

3x-6x2=7;(

5x+1-2x=3x-2; (3y-4=2y+1.(2) Determine whether the solution of the following equations is correct:

Solve the equation 3y-4=y+3

Solution: 3y-y=3+4,2y=7,y= ; (Solve the equation:.)

Untie:; ,x=-2;(

Solution: 5x+15-2x-2=10,3x=-3,x=-1;

Solve the equation Solution: 2x-4+5-5x=-1,-3x=-2,x= .(2. Fill-in-the-blank questions:

1) If 2(3-a)x-4=5 is a one-dimensional equation with respect to x, then a≠

2) The solution of the equation ax=3 about x is a natural number, then the value of the integer a is:

3) The solution of equation 5x-2(x-1)=17 is

4) x=2 is the solution of the equation 2x-3=m-, then m= .

5) If -2x2-5m+1=0 is a one-dimensional equation with respect to x, then m=

6) When y=, the algebraic formula 5y+6 and 3y-2 are inverses to each other.

7) When m=, the solution of the equation is 0

8) Known a≠0Then the solution of the equation 3ab-(a+b)x=(a-b)x for x is

3. Multiple choice questions:

1) The solution of the equation ax=b is ( ).

A has one solution x= b has an infinite number of solutions.

c does not have a solution d x = when a≠0

2) Solve the equation ( x-1)=3, and among the following deformations, the simpler is ( )aMultiply both sides of the equation by 4 to get 3( x-1) = 12bRemove the parentheses to get x- =3

c.Divide both sides by to get x-1=4

d.I tidy it up and get it.

3) Equation 2 - remove the denominator to get ( ).

d.None of the above answers are correct.

4) If the algebraic formula is greater than 1, then the value of x is ( ).

a．13 b． c．8 d．

5) x=1 is the solution of equation ( ).

a．- b．

c．2=8d．4x+ =6x+

4. Solve the following equations:

1）7(2x-1)-3(4x-1)=4(3x+2)-1;

2） (5y+1)+ 1-y)= (9y+1)+ 1-3y);

3） [4 ]=x+2;

20%+(1-20%)(320-x)=320×40%2(x-2)+2=x+1

2(x-2)-3(4x-1)=9(1-x)11x+64-2x=100-9x

15-(8-5x)=7x+(4-3x)

3(x-7)-2[9-4(2-x)]=223/2[2/3(1/4x-1)-2]-x=2

Calculation questions x = 630x-10 (10-x) = 100

x=54(x+2)=5(x-2)

x=18120-4(x+5)=25

x=15x+863-65x=54

x=3(x-2)+1=x-(2x-1)

x=3/211x+64-2x=100-9x

x=2 application question 1, from the summer camp to the school, first down the mountain and then take the flat road, a student first got up the bicycle and went down the mountain at a speed of 12 kilometers per hour, passed the flat road at a speed of 9 kilometers per hour, and it took 55 minutes to get to school, when he came back, he passed the flat road at a speed of 8 kilometers per hour and went up the mountain at a speed of 4 kilometers per hour to return to the summer camp It took 1 hour and 30 minutes, how many kilometers from the summer camp to the school?

2. Train A is 120 meters long, the speed is 60 kilometers per hour, train B is 130 kilometers long, the two cars go in the same direction, when the head of train B catches up with the tail of train A, there are two trains leaving after 3 minutes. Finding train speed B?

3. There are two trains A and B, train A is 120 meters long, and train B is 130 meters long, and they are 60 kilometers per hour. At a speed of 65 km/h, how long does it take for the two cars to leave after moving in opposite directions?

4. A and B practice running on a circular track, A can run a lap in 50 seconds, start from the same place, run in reverse for 20 seconds, and find out how long it takes B to run a lap.

5. The homes of students A and B are 26 kilometers apart, and they make an appointment to travel to a place between their homes on Sundays. A takes a pet with him when he departs, and A and B set off at 7 km/h and B at 6 km/h at the same time from their respective homes. The dog was running back and forth between A and B at a speed of 20 kilometers per hour at the same time.

That is, after encountering B, immediately return and run to A. It was until the two met and asked how far the dog had run.

6. Xiao Ming has to rush to school 1000 meters away from home before 7:40 every morning. One day, Xiao Ming set off at a speed of 80 meters, and five minutes later, Xiao Ming's father found that he had forgotten to bring his language book, so his father immediately chased Xiao Ming at a speed of 120 meters and asked him when he would hand over the book to Xiao Ming.

Because the step "y 18 3" should be changed to "y 3 18", we get y 1 6

Finally, it's 3 divided by 18, how do you write 18 divided by 3.

1.Equality relationship: the time of car A = the time of car B.

Solution: Let the distance between stations A and B be xkm

From the meaning of the question, 2x-34 70=x+3 52 is solved, x=122

A: The distance between stations A and B is 122km

2.Suppose the velocity of A is x and the velocity of B is y; The distance traveled by B is 3y, and the distance traveled by A is.

Equations according to the meaning of the topic:

x=3y+1

3-45/60）x+3y=2*

x=16(km h) and y=5(km h) are obtained

Answer: The velocity of A is 16 (km h) and the velocity of B is 5 (km h).

4.How long does it take for the elder brother to catch up with his sister, and the speed of the two must be known, but the known conditions only give the time it took the two to complete this road, and the length of this road is not given. This can be done using what we call assignment.

The length of this section of the road is not known, and in order to make the calculation simple, we can assume that the distance is generally used as the least common multiple of the speed of two people [30,20]=60

Suppose the distance from home to the factory is 60, the speed of the elder brother is 60 20 = 3, the speed of the younger sister is 60 30 = 2, the younger sister leaves 5 minutes earlier than the elder brother and the first distance is: 2 5 = 10, 10 is the distance difference between the two.

How much time does it take for the elder brother to catch up with the younger sister, that is, to ask the two to catch up with the time. 10 (3-2) = 10 minutes.

Answer: My brother can catch up with my sister in 10 minutes.

5.Solution: If the time used for A is x minutes, then the time used by B is (x-30) minutes. From the meaning of the title:

10x=15(x-30).

x=90 so A for 90 minutes. 90*10=900 meters.

6.Solution: Let X hours pass A and B are kilometers apart;

65－x＝（65－

Answer: After 1 hour, the distance between socks and B is kilometers

Question 6. Set up after x hours, according to the theme of the mountain tree.

Solution. x=1

After 1 Xiaoliang Tan Weicha, the two were kilometers apart?