Equation solving problems for grades 3 to 5 35 questions 20

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;(

(Solve the equation:.)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=8

d．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=

1.Mom's age is 3 times older than Xiaohong.

So Xiaohong's age is 27 3 = 9 years old.

Mom's age is 9 4 = 36 years.

2.Let's say Xiaohong is x years old.

4x-x=3x=27

x = 9 Little Red Mom 4x 36

Draw a quintile line segment, the first part of the line segment is Xiaohong, and the remaining 4 parts are Xiaohong's mother!

Mom is 4 times older than Xiaohong this year. Mom is 27 years older than Xiaohong. How old is Xiaohong this year (answer with equations).

There is no question at all, but it is definitely typed one word at a time, tired.

1.Xiao Ming planted a sapling, the height of the tree was 40cm at first, the sapling grew about 5cm tall every week after planting, and the sapling grew to 1cm tall after about a few weeks?

2.Xiao Ming multiplied his current age by 2 and subtracted 5 to get 21, how old is Xiao Ming now?

3.The circumference of a square football field is 310m, and the difference between length and width is 25m.

4.A and B are two pairs to carry out a football match, stipulating that each team will get 3 points for a win, 1 point for a draw, and 0 points for a loss. Team A and Team B have played a total of 10 games, Team A has maintained an unbeaten record with a total of 22 points, how many games has Team A won? How many draws?

5.A store provides installment payment services for items over 15,000 yuan, and customers can pay 3,000 yuan in advance and 1,500 yuan per month later. Uncle Wang wants to buy a computer worth 19,500 yuan in installments, how long will it take him to pay off the full payment?

6.A two-digit number, ten digits are twice the number of a digit, and the two-digit number obtained after the two digits are reversed is 36 smaller than the original, find this two-digit number.

7.The area of the first experimental field is more than 100 square meters more than three times that of the second experimental field, and the two experimental fields are 2900 square meters in total.

8.Xiao Ming bought two books for 172 yuan, a total of 10 books, and the unit prices were 18 yuan and 10 yuan respectively. How many copies of each book did Xiao Ming buy?

9.In the Star Juice Shop, A juice is one yuan more expensive than B juice, Xiaobin and his classmates asked for 3 cups of B juice and 2 cups of A juice, and spent a total of 16 yuan, what is the unit price of A juice and B juice?

10.Grandpa and grandson play chess, grandpa wins 1 point and 3 points, after 8 games the two score equally, how many points do they each get?