Câu 10:

\(a,y\times7+y\times3=70\\ \Rightarrow y\times\left(7+3\right)=70\\ \Rightarrow y\times10=70\\ \Rightarrow y=7\\ b,18:y+12:y=3\\ \Rightarrow\left(18+12\right):y=3\\ \Rightarrow30:y=3\\ \Rightarrow y=10\)

câu 11:

\(a,9\times365+2\times365-365=\left(9+2-1\right)\times365=10\times365=3650\\ b,108:9-18:9=\left(108-18\right):9=90:9=10\\ c,43\times95+4\times43+43=43\times\left(95+4+1\right)=43\times100=4300\)

D = 3\(\dfrac{1}{2}\) \(\times\) \(\dfrac{12}{43}\) + \(\dfrac{49}{14}\) \(\times\) \(\dfrac{31}{43}\) + \(\dfrac{11}{2}\)

D = \(\dfrac{7}{2}\) \(\times\) \(\dfrac{12}{43}\) + \(\dfrac{7}{2}\)  \(\times\) \(\dfrac{31}{43}\) + \(\dfrac{11}{2}\)

D = \(\dfrac{7}{2\times43}\) \(\times\) (12 + 31) + \(\dfrac{11}{2}\)

D = \(\dfrac{7}{2\times43}\)  \(\times\) 43 + \(\dfrac{11}{2}\)

D = \(\dfrac{7}{2}\) + \(\dfrac{11}{2}\)

D = 9

D = 3 và 1/2 x 12/43 + 49/14 x 31/43 + 11/2
= 7/2 x 12/43 + 49/14 x 31/43 + 11/2
= 42/43 +  217/36 + 11/2
=9

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dài quá làm hộ câu 1-5 thoy

1) x=21-13 

    x=8

2)x=-55+41

   x=-14

3)x=-21+15

    x=-6

4)x=3-3

    x=0

5) x= -98-37

   x=-135

15 ) 57 - ( x - 46 ) = - 13

       57 - x + 46 = -13

       103 - x = -13

       x  = 103 + 13

       x  =  116

16 ) -x - 23 = -38 - 42

       - ( x + 23 )=- ( 38 + 42)

            x + 23 = 38 + 42

             x       = 38 + 42 -23

              x      =  57

17 ) x - ( - 7 ) = -4 – 14

      X + 7 = -18

       X = -18-7

        X  = -25

18 ) 18 - x = -8 - ( - 15 )

       18 – x = 7

               X = 18 – 7

                X = 11

19 ) 45 - (  x + 17 ) = - 26

        45 – x - 17  = -26

        28 – x = -26

                X = 28 + 26

                X = 54

20 ) 3. ( x + 5 ) - x - 11 = 24

       3x +15 –x – 11 = 24

       2x + 4 =24

        2x = 24 – 4

        2x = 20

          X = 20 : 2

         X = 10

21 ) 14 - ( x - 7 ) = - 8 - ( - 9 )

       14 – x + 7 = 1

       21 – x = 1

               X = 21 – 1

               X = 20

22 ) 15 - ( x - 2 ) =  - 7 + 8

         15 – x + 2 = 1

            17 – x = 1

                    X = 17 – 1

                    X = 16

6)  x + ( - 71 ) = ( - 55 ) + 85 

      X – 71 = 30

      X = 30 + 71

      X = 101

7 ) x - ( - 45 ) = - 63 + 27

 X +45 = -16

 X = -16 -45

X = - 61

6)  x + ( - 71 ) = ( - 55 ) + 85

X=30+71=101

7 ) x - ( - 45 ) = - 63 + 27

X=-36-45=-81

8) x + 29 = 43 + ( - 23 )

X=20-29=-9

9 ) x + ( - 47 ) = ( - 62 ) – 17

X=-79+47=-32

10 ) x + 21 = ( - 43 ) + 43

X=0-21=-21

11 ) 31 + x = 45 – 81

 X=-36-31=-67

12 ) x - 12 = ( - 8 ) + (- 7 )

 X=-15+12=-3

13 ) 23 - x = 24 - ( - 16 )

X=23-40=-17

14 ) - 15 - ( - 21 - 3x ) = - 63 -15+21+3x=-63 21+3x=-63-(-15)

 21+3x=-48

3x=-48-21

3x=-69

X=-69 : 3

X=-23

e)x-43=(57-x)-50. 

Suy ra x-43=57-x-50=57-50-x=7-x

Suy ra x-43+x=7. suy ra2x=7+43=50

Nên x=50:2=25

f)-(x-3+84)=(x+70-71)-5.

Suy ra -x+3-84=x-1-5=x-6

Suy ra -x-81=x-6. suy ra -x-81+6=x.suy ra-x-75=x

Suy ra -x-x=75 nên -2x=75 suy ra x=-75/2=-37.5

g)2(x-23)-(x-43)=96-115.

Suy ra 2x-46-x+43=-19,

suy ra 2x-x-46+43=-19,

suy ra x-3=-19

Nên x=-19+3=-16

h)2(x-12)+13=x+(-14)=x-14.

Suy ra 2x-24+13=x-14,

suy ra 2x-11=x-14,

suy ra 2x-11+14=x=2x+3,

suy ra x-2x=3 nên -x=3

vậy x=-3

e)x=25

f)x=-37,5

g)x=-16

h)x=-3

e)x-43=(57-x)-50. Suy ra x-43=57-x-50=57-50-x=7-x

                          Suy ra x-43+x=7. suy ra2x=7+43=50

                          Nên x=50:2=25

f)-(x-3+84)=(x+70-71)-5. Suy ra -x+3-84=x-1-5=x-6

                                    Suy ra -x-81=x-6. suy ra -x-81+6=x.suy ra-x-75=x

                                     Suy ra -x-x=75 nên -2x=75 suy ra x=-75/2=-37.5

a) 5x - 14 = x - 34

5x - x = -34 + 14

4x = -20

x = -20 : 4

x = -5

b) x - 3 - (3x + 2) = -15

x - 3 - 3x - 2 = -15

x - 3x = -15 + 3 + 2

-2x = -10

x = (-10) : (-2)

x = 5

c) 2(x  - 12) + 19 = x + (-34)

2x - 24 + 19 = x + (-34)

2x - x = -34 + 24 - 19

x = -29

d) 2(x - 33) - 3(x - 43) = 96 - 115

2x - 66 - 3x + 129 = 96 - 115

2x - 3x = 96 - 115 + 66 - 129

-x = -82

x = 82

e) 2x + 3 - 9x = -11

2x - 9x = -11 - 3

-7x = -14

x = (-14) : (-7)

x = 2

f) -(x + 3 - 84) = (x + 70 - 71) - 6

-x - 3 + 84 = x + 70 - 71 - 6

-x - x = 70 - 71 - 6 - 84

-2x = -91

x = (-91) : (-2)

x = 45,5

6A6. PHIẾU BÀI TẬP TUẦN 12
Bài 1. Biểu diễn các hiệu sau thành tổng rồi tính:
a) ( ) 23 12−− b) ( ) 43 53−−
c) ( ) ( ) 15 17 − − − d) 14 20 −
Bài 2. Tính nhanh
a) (2354 − 45) − 2354 b) (−2009) −(234 − 2009)
c) (16 + 23) + (153−16 − 23)
Bài 3. Tìm số nguyên x, biết:
a) ( ) 3155x −=−− b) 14 32 26 x − − + = −
c) x + (−31) −(−42) = −45 d) (−12) −(13− x) = −15− (−17).
Bài 4: Tìm x biết:
a, ( ) 2670x −−−= . b, ( ) ( ) 7 5 3 x + = − + − . c, ( ) 11811x −=−− .
d, 30 + (32 − x) =10 . e, x +12 + (−5) = −18 . g, 3− x = −21−(−9) .
Bài 5. Tìm số nguyên x, biết:
a) x − 43 = (35− x) − 48 b) 305− x +14 = 48+ ( x − 23)
c) −( x − 6 +85) = ( x + 51) − 54 d) −(35− x) − (37 − x) = 33− x
Bài 6.Tính tổng đại số sau một cách hợp lí
a) 7 −8 + 9 −10 +11−12 +...+ 2009 − 2010
b) −1− 2 − 3− 4 −...− 2009 − 2010
c) 1− 3− 5 + 7 + 9 −11−13+15 +....+ 2017 − 2019 − 2021+ 2023
Bài 7. Điền số thích hợp vào bảng sau
a 13 5 − 12− 10 − 10 − 12
b 21 3 17 − 10 − 10 − 12−
a + b −8 8
Bài 8. Tính nhanh
a) 215+ 43+ (−215) + (−25) b) (−312) + (−327) + (−28) + 27
c) (134 −167 + 45) − (134 + 45)
Bài 9. So sánh
a) 125 và 125+ (−2) b) −13 và (−13) + 7 c) −15 và (−15) + (−3)
Bài 10. Điền số thích hợp vào bảng sau:
a 3− 7− 8 0
b 8 −16 23 −27
ab−
a−
b−
…………………………….……….Hết………………………………

a. $\dfrac{14}{15}+\dfrac{2}{11}+\dfrac{1}{15}+\dfrac{4}{11}+\dfrac{10}{22}$

$=(\dfrac{14}{15}+dfrac{1}{15})+(\dfrac{2}{11}+\dfrac{4}{11}+\dfrac{10}{22})$

$=1+1=2$

b. $74\times43-43+27\times43$

$=(74-1+27)\times43$

$=100\times43=4300$

\(a)\dfrac{14}{15}+\dfrac{2}{11}+\dfrac{1}{15}+\dfrac{4}{11}+\dfrac{10}{22}\)

\(=\left(\dfrac{14}{15}+\dfrac{1}{15}\right)+\dfrac{2}{11}+\dfrac{4}{11}+\dfrac{5}{11}\)

\(=1+1=2\)

\(b)74\times43-43+27\times43\)

\(=43\times\left(74-1+27\right)\)

\(=43\times100=4300\)

a) \(\dfrac{14}{15}+\dfrac{2}{11}+\dfrac{1}{15}+\dfrac{4}{11}+\dfrac{10}{22}\)

= \(\left(\dfrac{14}{15}+\dfrac{1}{15}\right)+\left(\dfrac{2}{11}+\dfrac{4}{11}\right)+\dfrac{5}{11}\)

= \(1+\dfrac{6}{11}+\dfrac{5}{11}\)

= 2

b) 74 x 43 - 43 + 27 x 43

= 74 x 43 - 43 x 1 + 27 x 43

= 43 x ( 74 - 1 + 27 )

= 43 x 100

= 4300