Unit 1 (Solving problems with column equation 1)
The first question (omitted)
2.( 1) Pears arrive (4x-20) kg. (2) Dad's weight is (3X+ 15) kg.
3. Solution: He walks X kilometers every hour. 3X﹢3= 18 3X= 18-3 X=5
4. Solution: The library covers an area of X square meters. 2X-20=400 2X=400+20 X=2 10
5. solution: there are x pear trees. X-500 = 1000 x2 X-500 = 2000 X = 2500
☆6. Solution: Xiaohua is X years old. 3.2X-2.8X=6 0.4X=6 X= 15
Solving problems with column equations (2)
leave out
(1)3X=70+20 solution: 3x = 90x = 30 (2) 4x+15.5 = 23.54x = 23.5-15.5x = 2.
0.8 hectares =8000㎡ Solution: The height of the triangle is x meters. 200 X÷2 = 8000 200 X = 16000 X = 80
Solution: can stand x people. 16X = 20×24 16X = 480 X = 30
☆5. Solution: After expansion, X people can sit in each row on average. 36X = 36×30+432 36X = 15 12 X = 42
Column equation to solve the problem (3)
1.
2.( 1) Volleyball has (4X), volleyball has (4X+X), and basketball is less than volleyball (4X-X).
(2) There are (X+2.5X) pear trees and peach trees, and there are more pear trees than peach trees (2.5X-X).
3. Solution: There are X basketball and 3X football. 3X-X = 300 2X = 300 X = 150 3X = 150×3 = 450
4. Solution: The grain in warehouse B is XT, and the grain in warehouse A is 2.5xt.x+2.5x = 350 3.5x = 350x =100 2.5x =100× 2.5 = 250.
5. Solution: Warehouse B stores grain XT and Warehouse A stores grain 3XT. 3X-40 = X+40 3X-X = 40+40 2X = 80 3X = 40×3 = 120
☆6. Solution: warehouse A transports XT to warehouse B.2× (180-x0 =120+x360-2x =120+x240 = 3xx = 80.
Column equation to solve the problem (4)
1.
2 ellipsis
3-5 Omission.
6. Solution: X black rabbits and 2X+4 white rabbits. X+2X+4 = 49 3X = 45 X = 15 2X+4 = 15×2+4 = 34
Review (1)
1-5 omitted
6. Set each exercise book to X yuan. 2X+ 1.8 = 4X-2.4 2X = 1.8+2.4 2X = 4.2 X = 2. 1 2X+ 1.8 = 2×2. 1+ 1.8 = 4.2+ 1.8 = 6
Review (2)
1-5 omitted.
☆6. Solution: X days after shipment. 2× 150 x = 350 x+900 500 x = 350 x+900 150 x = 900 x = 6 250 x = 250 x = 1500t 350 x+900 = 350 x 6+900 =
The first unit test
1.8XX+88x-X2X+ 10 2.5 x3x+2.5x×2 1 1+X+35s÷2÷5 5
Second, ③, ②, ③, ②, ③.
Third, ellipsis
4. 1-2 omitted, 3. Solution: The two cars will meet in X hours. 58X+25+62X = 985 120 X+25 = 985 120 X = 960 X = 8
4. Omit. 5. Solution: Huawei X Yuan. 2× (x-30 = x+85-30 2x-60 = x+55x =15x+85 = 1 15+85 = 200 (floret1/.
Unit 2: Understanding of Cuboid and Cube (1)
1 fill in the blanks. (1)6, 12, 8.(2) rectangle, 6㎝, 5㎝, 4㎝, 30 square centimeters, rectangle, 5㎝, 4㎝, 20 square centimeters. (3) Rectangular, 4㎝, 7㎝, 4㎝, square, 16㎝? , rectangle, 7㎝, 4㎝, 28㎝? .
2. Choice: ③, ①.
☆3 ellipsis.
Understanding of Cuboid and Cube (2)
1( 1) squared, 6, 12, 8, 4, 48 squared, 4, 16 (2) 15, 85, 5 1, squared and 6544.
2.60÷ 12=5㎝ 5×5=25㎝? (The side length is 5㎝, and the bottom area is 25㎝? )
☆3: 10×4=40㎝ 8×4=32㎝ 92-(32+40)=20㎝ 20÷4=5㎝ 10×8=80㎝? (height 5㎝, bottom area 80㎝? )
Surface area of cuboid and cube (1)
1. Fill in the blanks (1) 40,40,50,130 (2)15,6, 10, 162.
2: 3× 6× 2 = 36 square decimeter 4×6×2=48 square decimeter 3×4×2=24 square decimeter 36+24+48= 108 square decimeter (Xiao Gang thought)
(3×6)+(3×4)+(4×6)×2= 108 square decimeter (Xiao Juan thought)
3:(2×4)+(2×4)+(4×4)×2=64 square decimeter
☆4:30÷ 12=2.5㎝ 2.5×2.5=6.25㎝? 6.25×6=37.5㎝? (The bottom area is 6.25㎝? , surface area of 37.5㎝? )
Surface areas of cuboids and cubes (2)
1:②、①、②
2、94㎝? 、0.64㎡、384dm？
3. 1 m = 10 decimeter (10× 4+4× 410× 4) × 2 =192 square decimeter192-(4×
4. (8×10+6×/kloc-0+6× 8) × 2 = 376 square decimeter 376-6×8=328 square decimeter.
☆5:、96÷ 12㎝ 8×8×6=384㎝? 384-64=320㎝?
Surface areas of cuboids and cubes (3)
Omit 1
2、①、②
Omit 3-5
☆6、( 12× 1+ 1× 1+ 12×)×2=50㎝?
Volume of cuboid cube (1)
1, (1)-(3) slightly (4) cubic centimeters (5) cubic decimeter (6) liters.
2 choice, ③, ②, ②
3,32 cubic centimeters, 64 cubic centimeters, 72 cubic centimeters, 1 12 cubic centimeters.
Volumes of cuboids and cubes (2)
1-3 omitted
4,6 meters =60 decimeters 4×4= 16 square decimeters 60×4×4=960 cubic decimeters (cross-sectional area 16 square decimeters, volume 960 cubic decimeters)
5 ellipsis
Volumes of cuboids and cubes (3)
Omit 1
2、①、③
Omit 3-4
☆5、 10÷2=5㎝ 10×5×5=250㎝? (Volume 250㎝? )
Volumes of cuboids and cubes (4)
1、( 1)56、 1 12、64(2)、2、24、8 (3)、3、 1、 1、 14、3
2, fill in the form 384㎝? 、5 12㎝? 、 184dm？ 、 160dm？
Omit 3-4
☆5、60÷3=20㎝ 20÷4=5㎝ 5+3=8㎝ 5×5×8=200㎝? (Volume 200㎝? )
Promotion rate between unit of volume (1)
1( 1)700、37、3240、6500、0.74、 1.25 (2)350、247、3500、2470
2-6 Omission
Promotion rate between unit of volume (2)
1, cubic centimeter, cubic decimeter, cubic centimeter, cubic meter, liter
2、700、5470、3600、3.8、3800、0.2、4900、4.9、2.5、750、750、4、2.4、2400
Omit 3-5
Promotion rate between unit of volume (3)
1, 3600,814,0.814,0.13,5 liters of 90 ml, 5090.
(2)>、=、、>、、=
3, 4, 5 ellipsis
Fractional Division Application (1)
1, total length ×4/7= repair length, number of girls ×4/5= number of boys, number of black rabbits × 1/8= number of white rabbits compared with the number of black rabbits, planned amount ×110 = actual savings compared with planned amount.
2, 3, 4 and 5 are omitted.
Application of Fractional Division (2)
Omit 1
2.9/10 ÷ 3/4× 9/10 = 27/25 (m2)
3,6/5 ÷ 2/5× 3/4 = 9/4 (km)
4.240×3/4÷6/7=2 10 (person)
check against the authoritative text
leave out
Unit 4 Testing
Illo
Fill in the blanks, 7/ 10, 5/8, 2/5, 10,10, 8/9÷4, 8/9× 1/4, >
Three choices, ①, ②, ①, ②.
Fourth, omit 1, 2,240× 2/3 ÷ 4 = 40 (page)
3, 4, 5 ellipsis
The meaning of ratio
1、5:7、5/7、7:5、7/5、32:5、32/5、4、9、4/9、 19、 16、 19、 16、5:4、5:4
2 ellipsis
3、9/5、 15/4、40
4. The travel time ratio of car A and car B is 6: 10, which is simplified to 3:5.
3÷5=3/5 ratio: 3/5.
The speed ratio between car A and car B is 80:48, which is simplified to 5:3.
5÷3=5/3 The ratio is 5/3.
Basic properties of ratio
1、32、30、28、 1: 1 1、5:6
2 ellipsis
3. Omission
4、2:7、3: 10、2:7
Application of ratio
1、4、5、9、4/9、5/9、2 1/65、9/26、43/ 130
2 ellipsis
3 omitted, 4( 1)400÷ 100=4(G)
(2) 1+ 100 = 10 1 3030÷ 1× 1 = 30(g)3030÷ 1008。
Unit 5 Testing
A blank, 2/3, 1/3, 15, 15,16,15,12,40,5: 4,/kloc-
2. Judgment, √, ×, √, √.
Three calculations
Omitted four 1, 2, 3, 4 and 5.
midterm examination
Fill in the blanks, 4/5, 1/6, 4/5, 15/8, 8/ 15, 7080, 2.25, 10 liter 50 ml, 3 minutes and 30 seconds, 72, 32.
Select ①, ②, ③, ③.
Three calculations
Omit four 1-6.
7. Surface area of cuboid: 10a? 4×2=8dm cubic surface area: 6a? 8×4×4= 128dm？
10a？ -6a？ =64 4a？ =64 a？ = 16a = 4 (the original cuboid wood volume is 128 cubic decimeter)
Abbreviation of fractional elementary arithmetic unit
The problem-solving strategy unit is omitted (these two units are relatively simple and don't write answers)
Unit 6 and Unit 7 Testing
A blank, 3/8, 16, 12, 9,11,289/70, 70/289, 3/7, 3/4, last year's income.
Two calculations are omitted.
Three choices, ③, ③, ②, ②,
4 PCs 1-5 omitted, 6 PCs, set, with x large bottles and 60-X small bottles. 4X+(60-X)×0.5 = 100 4X- 1/2X = 70 7/2X = 70 X = 20 60-X = 60-20 = 40
7. Solution: pear X box and apple 2/5X box. X+2/5x = 700 7/5x = 700x = 500 2/5x = 200 (200 boxes of apples and 500 boxes of pears).
8，26÷ 1/5 = 130(a) 130×4/5 = 104(a) 104×7/ 13 = 56(a)
The possibility is slim.
Significance of percentage
1, omitted
2、√、√、√、√、√
Conversion between Percent, Decimal and Fraction
Percentage unit abbreviation (simple unit abbreviation)
Unit 8 and Unit 9 Testing
Blank sheet, 4/3, 1. 13, 4, 25, 80, 12.5, 0. 125,18,96, unqualified, 4,/kloc.
Do a little calculation
3. Judgment, √, ×, √×.
Fourth, choose, ②, ②, ③, ①.
Five operational strategies
Sixth, ellipsis
final test
Simple calculation
Fill in the blanks, cuboid, 2,3500, 0.6,750, 36, ②, ①, 4.5, 30, 2:3, 3:5, 64, 37.5, 1/40, 62.5, 75, 95, 65438.
Draw "√"1,8,2,15,3,16/9,4,10; 1, 5, 1/2, 6, cannot be determined.
Wood unit of volume