1)

a) 2x + 5 = 3⁴ : 3²

2x + 5 = 3²

2x + 5 = 9

2x = 9 - 5

2x = 4

x = 4 : 2

x = 2

b) (3x - 24).73 = 2.74

(3x - 24).73 = 148

3x - 24 = 148/73

3x = 148/73 + 24

3x = 1900/73

x = 1900/73 : 3

x = 1900/219

c) [3.(42 - x)] + 15 = 23.3

126 - 3x + 15 = 69

141 - 3x = 69

3x = 141 - 69

3x = 72

x = 72 : 3

x = 24

d) 126 + (132 - x) = 300

132 - x = 300 - 126

132 - x = 174

x = 132 - 174

x = -42

2)

a) 120 - (x + 55) = 60

x + 55 = 120 - 60

x + 155 = 60

x = 60 - 55

x = 5

b) (7x - 11).3 = 25.52 + 200

(7x - 11).3 = 1500

7x - 11 = 1500 : 3

7x - 11 = 500

7x = 500 + 11

7x = 511

x = 511 : 7

x = 73

c) 2x + 2x + 4 = 544

4x = 544 - 4

4x = 540

x = 540 : 4

x = 135

3) 

a) 10 + 2x = 49 : 47

10 + 2x = 49/47

2x = 49/47 - 10

2x = -421/47

x = -421/47 : 2

x = -421/94

b) 70 - 5(x - 3) = 45

5(x - 3) = 70 - 45

5(x - 3) = 25

x - 3 = 25 : 5

x - 3 = 5

x = 5 + 3

x = 8

c) 4 + 95 : x = 143 : 142 - 23

4 + 95 : x = -3123/142

95 : x = -3123/142 - 4

95 : x = -3691/142

x = 95 : (-3691/142)

x = -13490/3691

A, 89 -(73-x)=20

=> 73 - x = 89 - 20

=> 73 - x = 69

=> x = 73 - 69

=> x = 4

B, 7x - 2x = 6¹⁷:6¹⁵ + 44:11

=> ( 7 - 2 ) x = 36 + 4

=> 5x = 40

=> x = 8

C, x - [ 42+(-28)]=-8

=> x - 14 = - 8

=> x = - 8 + 14

=> x = 6

D, 62 - (2x-3):3=23

=> ( 2x - 3 ) : 3 = 62 - 23

=> ( 2x - 3 ) : 3 = 39

=> 2x - 3 = 117

=> 2x = 120

=> x = 60

E, 4(x-3)=7² - 1¹⁰

=> 4 ( x - 3 ) = 49 - 1

=> 4 ( x - 3 ) = 48

=> x - 3 = 12

=> x = 15

\(10,\Rightarrow x-14=-8\Rightarrow x=6\\ 11,\Rightarrow7-x-32=-25\\ \Rightarrow-25-x=-25\Rightarrow x=0\\ 12,\Rightarrow3x-16=\dfrac{2\cdot7^4}{7^3}=2\cdot7=14\\ \Rightarrow3x=30\Rightarrow x=10\\ 13,\Rightarrow\left[{}\begin{matrix}x-4=5\\x-4=-5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=9\\x=-1\end{matrix}\right.\\ 14,\Rightarrow\left(2x+11\right)^2=2^4:2^4=1\\ \Rightarrow\left[{}\begin{matrix}2x+11=1\\2x+11=-1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-5\\x=-6\end{matrix}\right.\\ 15,\Rightarrow7^{3x-2}=7^3\cdot4+7^3\cdot3=7^3\cdot7=7^4\\ \Rightarrow3x-2=4\\ \Rightarrow3x=6\Rightarrow x=2\)

10) x - [42 + (-28)] = -8

x - 14 = -8

x = -8 + 14 = 6

11) (7-x) - (25 +7) = -25

(7 -x) - 32 = -25

7 -x = -25 + 32 = 7

x = 7 -7 = 0

12) (3x - 2⁴) . 7³ = 2 . 7⁴

(3x - 16) . 343 = 4802

3x - 16 = 4802 : 343= 14

3x = 14 + 16 = 30

x = 30 : 3 =10

13) (x - 4)² = 25

⇒ 5² = 25

⇒ x - 4 = 5

⇒ x = 5 + 4 =9

14) 2⁴(2x + 11)² = 4²

16(2x + 11)² = 16

(2x + 11)² = 16 : 16 = 1

⇒ 2x + 11 = 1

⇒ 2x = 11 + 1 = 12

⇒ x = 12 : 2 = 6

15) 7^3x-2 - 3.7³ = 7³ . 4

7^3x-2 - 1029 = 1372

7^3x-2 = 1372 + 1029 = 2401

⇒ 7⁴ = 2401

⇒ 3x - 2 = 4

⇒ 3x = 4 + 2 = 6

⇒ x = 6 : 3 =2

a, 89 - (73 - \(x\)) = 20

           73 - \(x\)   = 89 - 20

          73 - \(x\)    = 69

                 \(x\)    = 73 - 69

                  \(x\)  = 4

b, 7\(x\) - 2\(x\) = 6¹⁷:6¹⁵ + 44:11

    5\(x\)        = 6² + 4

    5\(x\)        = 36 + 4

    5\(x\)        = 40

      \(x\)        = 40: 5

       \(x\)       = 8

c, \(x\) - [ 42 + (-28)] = - 8

    \(x\) - [ 42 - 28] = -8

     \(x\) - 14 = - 8

      \(x\)        = - 8 + 14

      \(x\)       = 6

a) 12 x 18 + 14 x 3 - 255 : 17

= 216 + 42 - 15

= 243

b) 68 + 42 x 5 - (198 : 11 - 8)

= 68 + 210 - (18 - 8)

= 68 + 210 - 10

= 268

c) 13 + 21 x 5 - (198 : 11 - 8)

= 13 + 105 - (18 - 8)

= 13 + 105 - 10

= 108

a; \(\dfrac{3}{11}\) + \(\dfrac{5}{-9}\) + \(\dfrac{4}{11}\) - \(\dfrac{4}{9}\) + \(\dfrac{3}{17}\) + \(\dfrac{15}{11}\)

= (\(\dfrac{3}{11}\) + \(\dfrac{4}{11}\) + \(\dfrac{15}{11}\)) - (\(\dfrac{5}{9}\) + \(\dfrac{4}{9}\)) + \(\dfrac{3}{17}\)

= 2 - 1 + \(\dfrac{3}{17}\)

= 1 + \(\dfrac{3}{17}\)

= \(\dfrac{20}{17}\) 

c; N = \(\dfrac{\dfrac{5}{7}-\dfrac{5}{9}-\dfrac{5}{11}}{\dfrac{15}{7}+\dfrac{15}{9}+\dfrac{15}{11}}\)

   Phải là - \(\dfrac{5}{7}\) chỗ tử số mới đúng em nhé!

d; \(\dfrac{4+\dfrac{4}{73}\times\dfrac{1}{23}}{5+\dfrac{5}{73}\times\dfrac{1}{23}}\)

= \(\dfrac{4\times\left(1+\dfrac{1}{73\times23}\right)}{5\times\left(1+\dfrac{1}{73\times23}\right)}\)

=  \(\dfrac{4}{5}\)

\(a;42\times12+32\times28\)

\(=14\times3\times12+32\times2\times14\)

\(=14\times36+64\times14\)

\(=14\times\left(36+64\right)\)

\(=14\times100\)

\(=1400\)

Bài làm

(a) 42 x 12 + 32 x 28

= 14 x 3 x 12 + 32 x 2 x 14

= 14 x 36 + 64 x 14

= 14 x ( 36 + 64 )

= 14 x 100

= 1400

(b) 23 x 37 + 73 x 24

= 851 + 1752

= 2603

~ Câu b không hiểu cho lắm, làm đại. ~
# Học tốt #

a)42x12+32x28

=14x3x12+32x2x14

=14x36+64x14

=14x(36+64)

=14x100=1400

b)23x37+73x24

=851+1752

=2603