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Types of application problems of primary school equations
Types of application problems of primary school equations

Application problem refers to the problem of applying what you have learned to real life practice. In mathematics, application problems are divided into two categories: one is mathematical application. The other is practical application. Mathematical application refers to a single quantitative relationship, which constitutes a topic and does not involve the existence and relationship of real quantities. Practical application is about mathematics and life. Next, I will bring you the types of elementary school equation application questions, hoping to help you.

The first part: The application problem type of primary school equation 1.a×8×b can be abbreviated as ().

2. When m = 4, 3m+㎡ = ().

3. Three consecutive natural numbers, the middle number is m, the front number is (), and the back number is ().

4. Xiaoming bought X diaries, paid 10 yuan for each 2.8 yuan, and got back () yuan.

3.6x+y means 6 times the sum of x and y. ()

4.4x+ 10 = 70 and 5x+3x = 120 have the same solution. ()

1. In the following categories, the equation is ().

a . 5.6x-3. 1b . 5.6+0. 1 = 5.7c . 6x-5y = 0

2. If 0.4× a = 0.45× b (both a and b are not 0), then ().

(a . a = bb . a & gt; bC.a & ltb

3. Four times the sum of x and 1.7 is 20.4, and the countable equation is ().

a . x+ 1.7×4 = 20.4 b . 4(x+ 1.7)= 20.4

C.4x+ 1.7=20.4

4.6x = 0, then equation ().

A. There is no solution B. There are countless solutions C. There is only one solution.

4x+4.5×4 = 367 x-4x = 1.8(x-4.5)×3 = 24

1.2004 The population of Asia is about 3.9 billion, which is five times more than the total population of Europe and more than 400 million. What's the population of Europe?

2. I spent 472 yuan on 10 bags of rice and 6 bags of flour. 28 yuan, how much is a bag of rice flour?

3. The school bought 50 movie tickets with the price of 1.5 yuan 2 yuan, which is known to be used to buy tickets.

88 yuan, how many tickets do you each want?

1. A car travels from place A to place B at an average speed of 20 kilometers per hour. After arriving at B, return to A at a speed of 30 kilometers per hour, and it takes 7.5 hours to make a round trip. Find the distance between a and b.

2. A primary school held a math contest with *** 15 questions. The grading standard is 1 8 points for the right question, 1 4 points for the wrong question or not, and Xiaoming finally got 72 points. How many questions did he get right?

1, Xiaoming is one year old, his father is five times three years older than Xiaoming, and his father is () years old this year.

2. Short for A× 2, short for B× B.

3. additive commutative law is represented by letters as (); The law of multiplicative association is expressed in letters as ()

There are X girls in Class Five (1), 5 less than boys, some of whom are classmates.

5 has three consecutive natural numbers, the first is b, the second is and the third is.

6 a car travels for s kilometers in t hours, with kilometers per hour;

Ok, 100 km takes several hours.

7. fill in ">"

When x=4, 4x-4 ○ 44 (x-4) ○ 4

When x=3,12 (x-2.5) ○12x-2.5x

8. The price of these two kinds of fruits is one yuan. Xiao Fang's mother bought 2 kilograms and 3 kilograms respectively, and spent () yuan.

9. I bought 400 Jin of rice in the canteen and ate one Jin every day. After eating for a few days, there are still B kilograms left, which has been eaten for () days.

10, when x = 5, x2 = (), 2x+8 = ().

1, in the following formula, () is an equation.

a、7+5xB、7.2+8.3= 15.5C、X+2=7

2. The circumference of a rectangle is c meters, the width is b meters, and the length is () meters.

a、c-bB、c-2bC、c \2-b

3, m is the middle of three consecutive natural numbers, and the sum of the three numbers is ()

a、3m+2B、3mC、3m+ 1D、3m- 1

4. The sum of x and y is 6 times, which can be expressed by formula ().

a、x+6yB、6x+yC、6(x+y)

5. The solution of the unknown x in the equation 3x ÷ 12 = 1 is ().

a、0.25B、4C、 12

6. When a = 8 and b = 6, 2a+3b equals ().

a、36B、34C、240

3.8+6.2=0.2–0.02= 1-0.0 1=0. 1×0. 1=

5÷0.5=5.6÷ 1.4=3.6×2-3.6=8×0. 125=

2. Solve the equation. (12)

6x+ 10.8 = 40.8 1.2x÷2 = 60 16×0.5+3x = 14

30x+ 15x = 22.5 x-(0.25-0.025)= 1(x-4)×0.25 = 10

2. Calculate the following questions in your favorite way. (15)

12.7-(8.65+2.7)92.5×0.25×46.7×0.9+6.7×0. 1

8.25×9.9+0.8253.4×8.7+34×0. 136.5× 1. 1

1, the sum of a number plus 4 and the product of 2.5 are 14. What's this number?

2. Five times a number minus the product of 16.5 and 7, the difference is 5.6. Find this number.

1. There are 480 boxes of goods at the bus station. A truck has been delivered five times, and there are 30 cases left. How many boxes are transported on average each time? (column equation solution)

According to statistics, the population of Asia was about 3.9 billion in 2004, 400 million more than that of Europe, and more than five times that of Europe.

What was the population of Europe in 2004? (Equation solving)

The students planted trees. Class One planted 63 more trees than Class Two, with 42 people in Class One, with an average of 8 trees per person and 39 people in Class Two. How many trees are there per person? (Equation solving)

Xiao Ming spent 7 yuan money to buy 6-cent and 8-cent stamps, and the number of the two stamps is the same.

How many stamps did Xiaoming buy?

5. how many tons of goods can a car with a load of b tons transport x times? If a=4, b=4.5, X = 6, 1, there are 4,000 books in the school. After buying A, there are now () books.

2. There are A students in the school, including B boys and () girls.

3. Li Shifu produces X parts per hour, 10 hour production ().

I bought 400 Jin of rice in the canteen and ate one Jin every day. After eating for a few days, there are still B kilograms left, which has been eaten for () days.

My sister is one year old, two years younger than my sister, and my sister is () years old this year.

6. The number A is X, which is smaller than the number B by Y. The sum of the numbers A and B is (), and the difference between the two numbers is ().

Fill in the blanks according to the algorithm.

1、a+ 18=□+□a× 15=□×□

2、m×2.5×0.4=□×(□×□)

3 、( a+b)×C=□×□+□×□

4、m-a-b=□-(□+□)

Third, omit the multiplication sign and write as follows.

a× 12=b×b=a×b=x×y×7=

5×x=2×c×c=7x×5=2×a×b=

Fourth, the judge. (Mark "√" for the right and "×" for the wrong. )

1、5+x=5x()2、x+x=x2()

3、a×3=3a()4、y2=y×2()

5、2a+3b=5ab()6、2a+3a=5a()

7、5×a×b=5ab()8、a×7+a=8a()

Second, say the meaning of each of the following formulas.

(1), the noon temperature is 32℃, which is x℃ lower than noon in the afternoon.

32-X means: _ _ _ _ _ _ _ _ _ _ _

(2) There are 40 people in Class Five (2) who subscribe to the magazine Youth Literature and Art, and the unit price is B yuan each.

40b stands for _ _ _ _ _ _ _ _

(3) The unit price of a football is A yuan and a basketball is B yuan.

6a+4b means: _ _ _ _ _ _ _

(4) Master Zhang processes X parts per hour, and Master Zhu processes 15 parts per hour.

X- 15 means: _ _ _ _ _ _ _ _ _ _ _

5x means: _ _ _ _ _ _ _ _ _

(x- 15) × 3 means: _ _ _ _ _ _ _ _

Third, first write the formula for calculating the graphic area, and then substitute the numbers into the formula for calculation.

(1), the base of the parallelogram is 12 decimeter, and the height is 8 decimeter. What is the area?

(2) The base of the triangle is 4.8 cm, and its height is twice that of the base. What is the area?

(3) The upper bottom of the trapezoid is 15cm, the lower bottom is 9cm and the height is 8cm. What is m2+N2 area?

(1), Xiaohua is 12 years old this year, one year older than Xiaolan, and Xiaolan is () years old this year.

(2), a coat 54 yuan, a pair of pants 48 yuan, buy b sets of such clothes, to use () yuan.

(3) The story book has one page. Xiao Ming reads X pages every day, Y days, () pages, and there are () pages left.

Aunt Wang bought m kilograms of bananas and n kilograms of apples. Bananas are 4.8 yuan per kilogram, and apples are 5.4 yuan per kilogram. A * * * costs () yuan.

Second, find the following values.

(1), given that a = 1.8b = 2.5, find the value of 4a+2b.

(2) Given X = 0.5 and Y = 1.3, find the value of 3Y-4x.

(3) It is known that m = 0.6. N = 0.4, find the value of m2+N2.

1, there are two baskets of the same pears, the first basket weighs one kilogram, the second basket weighs b kilograms, and the first basket sells m yuan less than the second basket, (1), and the price of pears is expressed by a formula. (2) When A = 24, B = 27 and M = 9, what is the price per kilogram of pears?

2. There are X books on the A shelf, and there are 5 more books on the B shelf than on the A shelf, (1). Use the formula to indicate how many books are on the shelf B. (2) How many books are there on the shelf B when x = 45?

(1) and () containing () are called equations. For example: ()

(2) Let the values on the left and right sides () of the equation be called the solution of the equation.

(3) The process of finding () is called solving equations.

(4) Addendum equals () and subtraction equals ().

The divisor is equal to () and the factor is equal to ()

Second, the judgment question. (Draw "√" on the right and "×" on the wrong)

1、a2=a×2()

2.X+7 is an equation. ()

3. Formulas with unknowns are called equations. ()

4. The solution of x+27 = 50 is 23. ()

Third, multiple choice questions. (Fill in the serial number of the correct answer in brackets)

(1) The difference between the numbers A and B is 100, the number A is A, and the formula of the number B is ().

○1100-a ○ 2a-10003 cannot be determined.

(2) The following formula is an equation, and yes is ().

○ 19x+b○23a-2b < 0○32x+5○43a = 6

(3) The solution of equation 7x+5 = 47 is ().

○ 1x=6○2x=5○3x=7

(4) The following formula containing letters is ().

○ 1x×5 write 5x××× y write xy 3a+b write ab.

(5) The triangle has an area of S, a height of H and a base of ().

○ 1s÷h○2s÷2÷h○3s×2÷h○4s×h÷2

1. Which of the following are equations? Draw "√" in brackets.

4.3+2x = 10.3()7.9+X < 12.6()

8.9+6X()8X=0.5()

19×2X()9.6+2.5X = 17. 15()

Fill in the blanks.

(1) 13+5x = 28 changed to 5x = 28- 13 according to ().

(2) 72 ÷ 3x = 6 is changed to 3x = 72 ÷ 6 according to ().

(3) The solution of 6a+14 = 32 is ().

(4) When x = (), 6x-5.5 = 0.5.

(5) The difference between 5 times of x and 72 is 28, and the column equation is ().

Third, solve the following equation.

5X+28=486X- 12=3045-3X=24

3X-4×6 = 48 1.8÷0.3-0.2X = 2 1.2-0.9+5X = 0.8

Fourth, solve the sequence equation.

1, 20 MINUS 2 times of x, the difference is 7, so find x.

2,82 divided by 2 times of x, the quotient is 0.2, and x is found.

4X+3X=7a-5a=7.5b-5b=

S-0.5s=9t+7t=20t-5t-3t=

Third, solve the following equation.

19x-8x = 552×(7x-4x)= 186 x+8x = 1.4×3

5x+0. 1x = 50+6. 17.2 x-3.6x = 9×0.420 = 5x-3X

1, 3.7 times a number times 1.3 times this number and the sum is 120. How did you find this number?

2. A number is 8 times more than 5 times. 24. Did you find this number?

6 of x times the product of 2.5 and 4, and the total is 25. Looking for x?

Chapter two: Types of application problems of primary school equations.

Fill in the blanks.

1. Pencils are one yuan each. If you buy M pencils and pay B yuan, you should get () yuan back.

2, clothing plan to make X sets of clothes, has been done for 5 days, making Y sets every day, and there are () sets left.

Xiaodong walks 8 kilometers per hour and Xiaoming walks 7 kilometers per hour. After they walked for t hours, Xiaodong walked better than Xiaoming ()

4. The sum of numbers A and B is m, number B is three times that of A, and number A is ().

The number b is ().

The price of these two kinds of fruits is one yuan. Xiao Fang's mother bought 2 Jin and 3 Jin respectively, and spent one * * * ().

Second, the judgment (tick "√" for the right and "×" for the wrong)

1 and x = 3.6 are the solutions of equation 2.8+x = 6.4. ()

2、a2>a()

3.x is multiplied by 5, and the formula is 5x+5, which is an equation. ()

4,6a-57 = 50 is an equation. ()

5. An equation is an equation. ()

Third, solve the equation (write the test process)

8.5x+6.5x = 225 1.2x 0.9x = 2. 1 100-9x- 12x = 37

1, 5 times 3 of a certain number equals 8 times minus 9. How do you find this number?

2. A number minus six times 15 is exactly equal to four times and five times this number. What's this number?

1. Use a formula containing letters to express the following quantitative relationship.

(1), 127 plus 5 times of a is ()

(2), the school bought a football, each m yuan, and bought b volleyball, each n yuan, a * * * to use ().

() yuan.

(3) My sister is one year old and B years older than her sister. Five years later, my sister is () years older than my sister.

Second, solve the following equation.

0.5x+ 1.5x = 15.6 16x+4-9x = 2539.6-3x = 3.24×5

Third, find out the equivalent relationship between quantities, and then list the equations.

1. Xiaoming bought eight exercise books, each of which cost X yuan, and paid it to 5 yuan, the shop assistant, to take it back to 2.6 yuan.

Equivalence relationship: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

Line equation: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

2. A 1000m expressway, with X meters built every day, took 8 days, with 440m left.

Equivalence relationship: _ _ _ _ _ _ _ _ _ _ _

Equation: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

Fourth, solve application problems with column equations.

1. Mom bought 3 Jin of grapes, paid 20 yuan and got back 5 yuan. How much is it per kilogram of grapes?

Kilometers. Yuan. Yuan, football is much more used than volleyball.

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