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Đáp án D
814 - x - 305 = 712 x - 305 = 814 - 712 x - 305 = 102 x = 102 + 305 x = 407
1) (x - 35) - 120 = 0
x - 35 = 120
x = 120 + 35
x = 155
2) 310 - (118 - x) = 217
118 - x = 310 - 217
118 - x = 93
x = 118 - 93
x = 25
3) 156 - (x + 61) = 82
x + 61 = 156 - 82
x + 61 = 74
x = 74 - 61
x = 13
4) 814 - (x - 305) = 712
x - 305 = 814 - 712
x - 305 = 102
x = 102 + 305 = 407
5) 100 - 7 - (x - 5) = 58
x - 5 = 93 - 58
x - 5 = 35
x = 35 + 5 = 40
6) 12(x - 1) : 3 = 43 + 23
4(x - 1) = 72
x - 1 = 18
x = 18 + 1 = 19
7) 24 + 5x = 75 : 73
24 + 5x = 49
5x = 25
x = 25 : 5 = 5
8) 5(x - 1) : 3 = 43 + 23
\(\dfrac{5}{3}\left(x-1\right)=72\)
x - 1 = \(\dfrac{216}{5}\)
x = 221/5
9) 5(x - 4)2 - 7 = 13
5(x - 4)2 = 20
(x - 4)2 = 4
\(\Rightarrow\left[{}\begin{matrix}x-4=2\\x-4=-2\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=6\\x=2\end{matrix}\right.\)
10) (x + 1) + (x + 2) + ... + (x + 30) = 795
=> (x + x + x + ... + x) + (1 + 2 + 3 +...+ 30) = 795 (1)
Đặt A = 1 + 2 + 3 +...+ 30
Số số hạng trong A là: (30 - 1) : 1 + 1 = 30 (số)
Tổng A bằng : (30 + 1).30 : 2 =465
Thay A = 465 vào (1) , ta được:
30x + 465 = 795
=> 30x =330
=> x =11
1: =>x-35=120
=>x=120+35=155
2: =>118-x=310-217=93
=>x=118-93=25
3: =>x+61=156-82=74
=>x=74-61=13
4: =>x-305=814-712=102
=>x=102+305=407
5: =>93-(x-5)=58
=>x-5=35
=>x=40
6: =>4(x-1)=64+8=72
=>x-1=18
=>x=19
7: =>5x+24=49
=>5x=25
=>x=5
8: =>5(x-1):3=4^3+2^3=64+8=72
=>5(x-1)=216
=>x-1=216/5
=>x=221/5
a: Ta có: \(814-\left(x-305\right)=712\)
\(\Leftrightarrow x-305=102\)
hay x=407
b: Ta có: \(2x-138=2^3\cdot2^2\)
\(\Leftrightarrow2x=32+138=170\)
hay x=85
c: Ta có: \(20-\left[7\left(x-3\right)+4\right]=2\)
\(\Leftrightarrow7\left(x-3\right)+4=18\)
\(\Leftrightarrow7\left(x-3\right)=14\)
\(\Leftrightarrow x-3=2\)
hay x=5
( x - 1 ) + 5 = 17
x - 1 = 17 - 5
x - 1 = 12
x = 12 + 1
x = 13
a) 310-(118-x)=217
118-x=310-217
118-x=93
x=118-93
x=25
b) 814-(x-305)=712
x-305=814-712
x-305=102
x =102+305
x = 407
c)5(x+35)=515
x+35 =515:5
x+35 =103
x =103-35
x =68
\(a,310-\left(118-x\right)=217\) \(c,5\left(x+35\right)=515\)
\(118-x=310-217\) \(x+35=515:5\)
\(118-x=93\) \(x+35=103\)
\(x=118-93\) \(x=103-35\)
\(x=25\) \(x=68\)
\(b,814-\left(x-305\right)=712\) \(\left[\left(6.x-39\right):3\right].28=5628\)
\(x-305=814-712\) \(\left(6.x-39\right):3=5628:28\)
\(x-305=102\) \(\left(6.x-39\right):3=201\)
\(x=102+305\) \(6.x-39=201x3\)
\(x=407\) \(6.x-39=603\)
\(6x=603+39\)
\(6x=642\)
\(x=107\)
\(e,2.x-138=2^3.2^2\)
\(2.x-138=32\)
\(2.x=32+138\)
\(2.x=170\)
\(x=170:2\)
\(x=85\)
\(814-\left(x-305\right)=712\)
\(x-305=814-712\)
\(x-305=102\)
\(x=102+305\)
\(x=407\)
814 - (x - 305) = 712
x - 305 = 814 - 712 = 102
x = 102 + 305 = 407
814 - (x - 305) = 712x
814 - x + 305 = 712x
x + 509 = 712x
509 = 711x
x = 509/711
814 - ( x -305) = 712
x - 305 = 814 - 712
x - 305 = 102
x = 102 + 305
x = 407
Vậy x = 407 :)
\(a,\)\(124+\left(118-x\right)=365\)
\(118-x=365-124\)
\(118-x=241\)
\(x=118-241\)
\(x=\left(-123\right)\)
\(b,814-\left(x-305\right)=712\)
\(x-305=814-712\)
\(x-305=102\)
\(x=102+305\)
\(x=407\)
\(c,\)\(x-32\div16=48\)
\(x-2=48\)
\(x=48+2\)
\(x=50\)
\(d,\)\(\left(x-32\right):16=48\)
\(x-32=48.16\)
\(x-32=768\)
\(x=768+32\)
\(x=800\)
