a×3=( ) 4.5×x=( ) 7×a×b=( ) b×3×a=()
x×x×2 =()3×a+2×b =()(a+b)×2 = 5×c×d =()
Second, according to the algorithm, fill in the appropriate letters and numbers on the horizontal line.
①a×(b×c)=( × )×c ②(a+8)×b=a× +
③(a+b)+c= =(b+ ) ④a+3.5+b=a+ +3.5
⑤ 3(a+b)=3 +3 ⑥(x+y)× 10= × + ×
3. Fill in "=" or "≦" in brackets.
7? ( )7×7 1.8× 1.8( ) 1.8? x？ x=x？ m+m( )m？
Fourth, the judge.
42=4×2 ( ) a×b=ab()
7×7=72 ( ) 5+x=5x()
a×a=a2 ( ) a×b×3=ab3()
C×2=c2 () b×b is pronounced 2b ().
(1) equations are all equations, but they are not necessarily equations. ( )
(2) An equation with an unknown number is called an equation. ( )
(3) The solution of the equation and the solution of the equation are the same thing. ( )
(4)X2 cannot be equal to 2X. ( )
(5) 10=4X-8 is not an equation. ( )
(6) Equations are all equations. ( )
(7) Equations are all equations. ( )
(8)X=0 is the solution of equation 5X=5. ( )
9.3- 1.3 = 10-2 is an equation. ( )
5.( 1) A number is 3.5, which means A is more than B number, B number is, and the sum of A number and B number is.
(2) I bought 2 Jin of watermelon with A Yuan at a unit price of 1.8 yuan, so I should get it back.
(3) The product of a multiplied by a number less than x is.
(4) The difference between A minus 4.8 and 5 times is.
(5) Half of the sum of A and B is.
(6) The canteen bought one kilogram of rice, ate b kilograms, and there were still kilograms left.
(7) Pay 20 transactions with the price of RMB.
(8) A construction site uses cars to transport soil, and each car transports X tons. Six cars were delivered in the morning and five cars were delivered in the afternoon. On this day, tons of soil were delivered, and more soil was delivered in the morning than in the afternoon.
(9) The mall sold 10 TV sets in the morning and 7 TV sets in the afternoon, each at one yuan. Selling TV sets all day is RMB (), and selling TV sets in the morning is less than selling TV sets in the afternoon ().
Special exercise paper (solving application problems with equations)
1. There are 54 basketball and volleyball in the school, and the number of volleyball is twice that of basketball. How many basketball and volleyball are there?
2. The number of literature books in the corner of the class library is four times that of science and technology books. There are more literature books than science books 105. How many books are there in literature and science and technology?
The price of photo album is 5.5 times that of notebook. Xiaohong bought an album and four notebooks, which cost 47.5 yuan. What is the unit price of photo albums and notebooks?
The unit price of a pen is 9 times that of a pencil. The school bought two pens and four pencils and spent them 13.2 yuan. How much is each pen?
5.5 kilograms of chocolate is 57.9 yuan more expensive than 3 kilograms of fruit candy. It is known that chocolate is 22.5 yuan per kilogram, and how much is fruit candy per kilogram?
6. The circumference of a rectangle is 1 12m, and its length is three times its width. How many meters is the length and width of this rectangle?
7. A metal wire can be used to form a square with a side length of 4 cm, and this metal wire can be used to form a rectangle with a width of 2 cm. What is the length of this rectangle?
8. The base of the parallelogram is 24cm and the height is15cm. If the bottom is reduced to 20 cm and the area remains the same, how many centimeters should the height be?
9. It is known that the area of the following figure is 1 10 cm2, so find x.
x 6
eight
10. It is known that the shadow area in the following figure is 96 square meters.
8 meters
X meter x meter
1 1. The weight of apples in basket A is three times that of apples in basket B. If 20kg is taken from the first basket and put into the second basket, the weights of the two baskets are equal. How many kilograms of apples are there in each basket?
12. There are two wires with the same length, the first one needs18m, the second one needs 25m, and the remaining wires are just twice as long as the second one. How long are these two wires?
13. Two warships set off from two ports 4 16 kilometers apart at the same time and met on the way 6.5 hours later. The speed of a warship is 3 1 km. What's the speed of another warship?
14, one car is 38 kilometers per hour, and the other car is 4 1 kilometer per hour. Two cars leave from two stations 237 kilometers apart at the same time. How many hours did two cars meet on the road?
15, two ships A and B leave Nantong Port for Chongqing Port at the same time. A ship is 28 kilometers per hour, and B ship is 36 kilometers per hour. How many hours later, Ship A landed 40 kilometers behind Ship B?
16, both parties ride bicycles from the same place at the same time, traveling from east to west. After 6 hours, Party A overtook Party B by 30 kilometers. A driving at an average speed of 16 km per hour. How many kilometers per hour?
17, two cargo ships set off from a dock at the same time, heading east and west respectively. Ship A travels 30 kilometers per hour and ship B travels 42 kilometers per hour. After several hours of sailing, the two ships are 252 kilometers apart.
18, two trains, A and B, leave from two places 450 kilometers apart at the same time. A train runs at a speed of 45 kilometers per hour. Five hours later, the two trains are still 25 kilometers apart. How many kilometers per hour is the B train?
19, passenger cars and trucks set off from two stations 400 kilometers apart at the same time, and after 4.5 hours of rendezvous, they traveled 50 kilometers. It is known that the speed of passenger cars is 60 kilometers per hour, and how many kilometers per hour are trucks?
The distance between the two buildings is 300 meters. Xiaohong and Xiaobai walked in opposite directions from the door of a building at the same time. Seven minutes later, they were 860 meters apart. Xiaohong walked 37 meters every minute. How many meters does Xiaobai walk every minute?
2 1, Party A and Party B run along a 400-meter circular track. They start from the same place and walk in the same direction at the same time. A runs 280 meters per minute, and B runs 240 meters per minute. How many minutes did A catch up with B?
Special exercise paper (calculating and solving equations)
1. parting calculation. (What can be simplified should be simplified)
20.53-40.5÷7.5×3.5 86.8+9. 1÷(2.3- 1.6)
3.2× 1.5+4.8÷2.5 (6.7- 1.69÷ 1.3)×40
3.25÷ 1.3×0.74+3.25 6.9÷[(0.4+0.5)×0.6]
4.25÷2.5×9.9+0. 17 4×(9.3-5.7)+3.6
5.5×4.8-4.8×4.5 6.8+ 1.25×6.8×8
3.6×0.75÷3.6×0.75 7. 12×4- 1. 12÷0.25
(8 1.4-3.75)÷2.5÷4 5.4÷[0.5 1÷( 1.2- 1.03)]
Second, solve the equation.
6x-6.8×2 = 20 2x+ 1.4×2 = 3.7 0. 16×3-7x = 0. 13
5x-40×2.5 = 4 0.5x- 1.4×5 = 3.6 5x+3x = 12.8
3.4x- 16×3 = 26.8 32x-7x- 10x = 45(x+5)×4÷2 = 50
(2x+3)÷0.5 = 15 8.4-7.9+x = 9.2 4.5x+0.5x = 2.6×4
3x+4x- 13 = 78(0.4x+3)×6 = 25.2 6x-0.8 = 2x+ 1.2
10+2x = 3x- 12 18-4x = 2x-6 3(x+2)= 4(x+ 1)
8(x- 1.5)= x+0.6 7(x+6)-3x = 4(2x+5)2x+8- 18.8 = 25-2.8+x
Third, use equations to solve text problems.
1, 27.4 plus 1 1.55 and then subtract a number to get 20. What's this number?
2. Three times a number minus the product of 0.8 and 3, the difference is 2 1, what is this number?
3. A number minus 2 times the difference of 4.2 gets 5.5. What's this number?
4. 2.5 times of a number is 12.5 more than 4.5. Find this number.
5,25.6 is 14.8 less than 5 times a number. What's this number?
The product of 6, 3.2 and 0.6 is 12.08 less than 2.5 times a number. What's this number?
7. A number multiplied by 3 times 65438+ 0.8 times this number is equal to 1.44. Find this number. /
Four, column comprehensive formula calculation.
What is the sum of 3 times of 65438 +0, 4.6 and 5 times of 3.5?
2.40.5 What is the difference between the quotient divided by 0.8 1 and the product of 36 times 0.375?
3. 100 Subtract the sum of 8.5 and 70.7, and divide the difference by 0.52. What is the quotient?
4. 15 subtract the sum of 13 and 0.5, and divide the difference by 1.8. What is the quotient?
The difference between 5, 4.8 and 0.72 is multiplied by 5, and the product is divided by 5 1. What is the quotient?
6. 148.32 subtract the product of 3.2 and 1.5, and divide the difference by 0.5. What is the result?
7. The number A is 0.78, which is 0. 18 more than four times that of the number B. What is the sum of the numbers A and B?
8. What is the sum of12.5 and 9.2 divided by their difference? (Keep two decimal places)