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Bài 3:
4; 45 + 5\(x\) = 10\(^3\): 10
45 + 5\(x\) = 100
5\(x\) = 100 - 45
5\(x\) = 55
\(x\) = 55 : 5
\(x\) = 11
Vậy \(x=11\)
5; 4\(x\) - 20 = 2\(^5\) : 2\(^2\)
4\(x\) - 20 = 2\(^3\)
4\(x\) = 8 + 20
4\(x\) = 28
\(x\) = 28 : 4
\(x=7\)
Vậy \(x=7\)
Bài 4:
1; 82 - (25 + 4\(x^{}\)) = 17
25 + 4\(x\) \(^{}\) = 82 - 17
4\(x^{}\) = 65 - 25
4\(x^{}\) = 40
\(x=40:4\)
\(x\) = 10
Vậy \(x=10\)
2; 71 - (24 + 3\(x\)) = 24
24 + 3\(x\) = 71 - 24
24 + 3\(x\) = 47
3\(x\) = 47 - 24
3\(x\) = 23
\(x\) = 23 : 3
Vậy \(x=\frac{23}{3}\)
3; 145 - (125 + \(x\)) = 12
125 + \(x\) = 145 - 12
125 + \(x\) = 133
\(x\) = 133 - 125
\(x\) = 8
Vậy \(x=8\)
Bài 1:
a: 2x+3=15
=>2x=15-3=12
=>\(x=\frac{12}{2}=6\)
b: 28-3x=13
=>\(3x=28-13=15\)
=>\(x=\frac{15}{3}=5\)
c: \(\left(x-1954\right)\cdot5=50\)
=>x-1954=50:5=10
=>x=10+1954=1964
d: 30(60-x)=30
=>60-x=1
=>x=60-1=59
Bài 2:
a: x+99:3=55
=>x+33=55
=>x=55-33=22
b: (x-25):15=20
=>\(x-25=20\cdot15=300\)
=>x=300+25=325
c: \(7\left(3x-15\right)=42\)
=>\(3x-15=\frac{42}{7}=6\)
=>3x=15+6=21
=>\(x=\frac{21}{3}=7\)
d: \(x\left(x+1\right)=2+4+6+\cdots+2500\)
=>\(x\left(x+1\right)=2\left(1+2+3+\cdots+1250\right)\)
=>\(x\left(x+1\right)=2\cdot1250\cdot\frac{1251}{2}=1250\cdot1251\)
=>\(x^2+x-1250\cdot1251=0\)
=>(x+1251)(x-1250)=0
=>\(\left[\begin{array}{l}x+1251=0\\ x-1250=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=-1251\\ x=1250\end{array}\right.\)
Bài 1:
a: \(46\cdot99=46\cdot\left(100-1\right)=46\cdot100-46\)
=4600-46
=4554
b: \(47\cdot98=47\cdot\left(100-2\right)=47\cdot100-47\cdot2\)
=4700-94
=4604
c: \(18\cdot19=18\left(20-1\right)=18\cdot20-18\)
=360-18
=342
d: \(24\cdot198=24\left(200-2\right)\)
\(=24\cdot200-24\cdot2\)
=4800-48
=4752
Bài 2:
a: \(1800\cdot5=18\cdot100\cdot5=90\cdot100=9000\)
b: \(36\cdot25=25\cdot4\cdot9=100\cdot9=900\)
c: 36600:50=3660:5=732
d: 220000:5000=220:5=44
c: \(\left(x-1\right)^3=\left(-9\right)^3\)
=>x-1=-9
=>x=-9+1=-8
f: \(3x-2^3=7+\left(-9\right)\)
=>3x-8=7-9=-2
=>3x=-2+8=6
=>x=2
7: Số tiền phải trả cho 2 chiếc áo phông là:
\(2\cdot125000=250000\left(đồng\right)\)
Số tiền phải trả cho 3 chiếc quần soóc là:
\(95000\cdot3=285000\left(đồng\right)\)
Số tiền phải trả cho 5 chiếc khăn mặt là:
\(17000\cdot5=85000\) (đồng)
Tổng số tiền phải trả là:
250000+285000+85000=250000+370000=620000(đồng)
Số tiền cần phải trả thêm là:
\(620000-2\cdot100000=420000\) (đồng)
8:
Số tiền phải trả cho 30 quyển vở là:
\(30\cdot7500=225000\left(đồng\right)\)
Số tiền phải trả cho 30 chiếc bút bi là:
\(30\cdot2500=75000\left(đồng\right)\)
Số chiếc bút chì là \(12\cdot2=24\) (chiếc)
Số tiền phải trả cho 24 chiếc bút chì là;
396000-225000-75000=96000(đồng)
Giá tiền của mỗi chiếc bút chì là:
96000:24=4000(đồng)
a) 140 : (x - 8) = 7
x - 8 = 140 : 7
x - 8 = 20
x = 20 + 8
x = 28
b) 4(x + 41) = 400
x + 41 = 400 : 4
x + 41 = 100
x = 100 - 41
x = 59
c) 35 - 5(x + 4) = 35
5(x + 4) = 35 - 35
5(x + 4) = 0
x + 4 = 0
x = 0 - 4
x = -4
d) 25 + 3(x - 8)= 106
3(x - 8) = 106 - 25
3(x - 8) = 81
x - 8 = 81 : 3
x - 8 = 27
x = 27 + 8
x = 35
Bài 1:
a: \(205-\left\lbrack1200-\left(4^2-2\cdot3\right)^3\right\rbrack:40\)
\(=205-\left\lbrack1200-\left(16-6\right)^3\right\rbrack:\text{40}\)
\(=205-\frac{\left\lbrack1200-10^3\right\rbrack}{40}=205-\frac{1200-1000}{40}=205-\frac{200}{40}\)
=205-5
=200
b: \(177:\left\lbrack2\cdot\left(4^2-9\right)+3^2\left(15-10\right)\right\rbrack\)
\(=177:\left\lbrack2\cdot\left(16-9\right)+9\cdot5\right\rbrack\)
\(=177:\left\lbrack2\cdot7+45\right\rbrack\)
=177:59
=3
c: \(\left\lbrack\left(25-2^2\cdot3\right)+\left(3^2\cdot4+16\right)\right\rbrack:5\)
\(=\frac{\left\lbrack25-4\cdot3+9\cdot4+16\right\rbrack}{5}=\frac{25-12+36+16}{5}=\frac{13+52}{5}\)
\(=\frac{65}{5}\)
=13
d: \(125\left(28+72\right)-25\left(3^2\cdot4+64\right)\)
\(=125\cdot100-25\cdot\left(9\cdot4+64\right)\)
\(=125\cdot100-25\cdot100\)
\(=100\cdot100=10000\)
Bài 2:
a: 135-5(x+4)=35
=>5(x+4)=135-35=100
=>x+4=20
=>x=20-4=16
b: \(25+3\left(x-8\right)=106\)
=>3(x-8)=106-25=81
=>x-8=81:3=27
=>x=27+8=35
c: \(3^2\left(x+4\right)-5^2=5\cdot2^2\)
=>9(x+4)-25=20
=>9(x+4)=45
=>x+4=5
=>x=5-4=1







Bài 1:
\(A=-\frac25+\frac34\cdot\frac29\)
\(=-\frac25+\frac{6}{36}\)
\(=-\frac25+\frac16=-\frac{12}{30}+\frac{5}{30}=-\frac{7}{30}\)
\(B=\frac38\cdot\frac{-13}{15}-\frac38\cdot\frac{2}{15}+1\frac12\)
\(=\frac38\left(-\frac{13}{15}-\frac{2}{15}\right)+\frac32\)
\(=-\frac38+\frac32=-\frac38+\frac{12}{8}=\frac98\)
\(C=-\frac78+\frac{9}{10}\cdot\frac23\)
\(=-\frac78+\frac93\cdot\frac{2}{10}\)
\(=-\frac78+\frac35=-\frac{35}{40}+\frac{24}{40}=-\frac{11}{40}\)
\(D=\frac{5}{11}\cdot\frac{-17}{31}-\frac{5}{11}\cdot\frac{14}{31}+1\frac12\)
\(=-\frac{5}{11}\left(\frac{17}{31}+\frac{14}{31}\right)+\frac32\)
\(=-\frac{5}{11}+\frac32=-\frac{10}{22}+\frac{33}{22}=\frac{23}{22}\)
Bài 2:
a: \(\frac65-\frac15\cdot\frac{10}{3}\)
\(=\frac65-\frac{10}{5}\cdot\frac13=\frac65-\frac23\)
\(=\frac{18}{15}-\frac{10}{15}=\frac{8}{15}\)
b: \(\frac{11}{24}-\frac{5}{41}+\frac{13}{24}+0,5-\frac{36}{41}\)
\(=\left(\frac{11}{24}+\frac{13}{24}\right)-\left(\frac{5}{41}+\frac{36}{41}\right)+0,5\)
\(=1-1+0,5=0,5\)
c: \(\frac12\cdot\frac{-3}{4}+\frac12\cdot\frac{-1}{4}+\frac23\)
\(=\frac12\left(-\frac34-\frac14\right)+\frac23\)
\(=-\frac12+\frac23=-\frac36+\frac46=\frac16\)
d: \(\frac13\cdot\frac{-5}{6}+\frac13\cdot\frac{-1}{6}+\frac12\)
\(=\frac13\left(-\frac56-\frac16\right)+\frac12\)
\(=-\frac13+\frac12=\frac16\)
Bài 3:
a: \(\frac{6}{x-7}=\frac{-3}{7}\)
=>\(\frac{6}{x-7}=\frac{-6}{14}\)
=>x-7=-14
=>x=-14+7=-7
b: \(-\frac35-x=\frac12\)
=>\(x=-\frac35-\frac12=-\frac{6}{10}-\frac{5}{10}=-\frac{11}{10}\)
c: \(x-\frac{3}{10}=\frac{7}{15}\cdot\frac{3}{14}\)
=>\(x-\frac{3}{10}=\frac{7}{14}\cdot\frac{3}{15}=\frac12\cdot\frac15=\frac{1}{10}\)
=>\(x=\frac{1}{10}+\frac{3}{10}=\frac{4}{10}=\frac25\)
d: \(\frac{5}{14}-x=-\frac{17}{36}:\frac{51}{18}\)
=>\(\frac{5}{14}-x=-\frac{17}{36}\cdot\frac{18}{51}=-\frac{17}{51}\cdot\frac{18}{36}\)
=>\(\frac{5}{14}-x=-\frac13\cdot\frac12=-\frac16\)
=>\(x=\frac{5}{14}+\frac16=\frac{15}{42}+\frac{7}{42}=\frac{22}{42}=\frac{11}{21}\)
e: \(-\frac34x+\frac14\left(x-1\right)=-\frac{12}{5}\)
=>\(-\frac34x+\frac14x-\frac14=-\frac{12}{5}\)
=>\(-\frac24x=-\frac{12}{5}+\frac14=-\frac{48}{20}+\frac{5}{20}=-\frac{43}{20}\)
=>\(\frac{x}{2}=\frac{43}{20}\)
=>\(x=\frac{43}{20}\cdot2=\frac{43}{10}\)
f: \(\left(2x-\frac49\right)\left(3-11x\right)=0\)
=>\(\left[\begin{array}{l}2x-\frac49=0\\ 3-11x=0\end{array}\right.\Rightarrow\left[\begin{array}{l}2x=\frac49\\ 11x=3\end{array}\right.\Rightarrow\left[\begin{array}{l}x=\frac49:2=\frac29\\ x=\frac{3}{11}\end{array}\right.\)
bài 6 làm như thế nào hả các bạn