Câu 3. Tính
a) ( - 11) x ( - 28) + (- 9) x 13
b) ( - 69 ) x ( - 31) - ( - 15) x 12
c) [16 - (- 5) ] x (-7)
d)[(- 4) x (- 9) - 6]x[(-12) - (-7)]
a: \(\left(-11\right)\cdot\left(-28\right)+\left(-9\right)\cdot13\)
\(=308-117\)
=191
b: \(\left(-69\right)\cdot\left(-31\right)-\left(-15\right)\cdot12\)
\(=2139-\left(-180\right)\)
=2139+180
=2319
c: \(\left[16-\left(-5\right)\right]\cdot\left(-7\right)\)
\(=\left(16+5\right)\cdot\left(-7\right)\)
\(=-7\cdot21=-147\)
d: \(\left[\left(-4\right)\cdot\left(-9\right)-6\right]\left[\left(-12\right)-\left(-7\right)\right]\)
\(=\left[36-6\right]\left[-12+7\right]\)
\(=30\cdot\left(-5\right)=-150\)
BÀI 1 :TÌM X :
1 ) 17,75 - ( 0,5 * x : 2 - 4,2 ) = 15
2 ) x : 6 * 7,2 + 1,3+ x + x : 2 + 15 = 19,95
3) 7 : ( 3,8 * x - 57/19 + 3 ) = 1,75
4) 7,75 - ( 0,5 * x : 5 - 6,2 ) =5
5) [(x + 47,5 ) * 2,5 - 0,2] : 1,25 = 12,48
6) 49 * ( x : 23 ) = 316
7) (3 + 5 + 7 + ... + 55 + 57 ) * x = 2520
8) 12 * ( x * 2,4 - 0,23 - 0,05 ) = 1,44
Bài 1:tìm x:
a) x+5*2-(32+16*3*6-15)= 0
b) (x*0,25+1999)*2000= (53+1999)*2000
c)x*2016=x:2016
d) (x+2)+(x+3)+.....................+ (x+100)= 5750-(x-1)
e) x+x:1/3:2/9+x:2/7= 252
g) 71+65*4=\(\frac{x+140}{x}\) + 260
h) x:0,1: 0,2: 0,3 :0,4 : 0,5 : 0,6 = 100000
tính
5/8 x 16 /7 x 21/25
11/12 : 22/30 x 6 /15
5/8x16/7x21/25
=1/1x2/1x3/5
=6/5
11/12:22/30x6/15
=11/12x30/22x6/15
=1/2x1/2x1/2
=1/8
5/8x16/7x21/25
=1/1x2/1x3/5
=6/5
11/12:22/30x6/15
=11/12x30/22x6/15
=1/2x1/2x1/2
=1/8
4) \(\dfrac{x}{0,5}=\dfrac{y}{0,3}=\dfrac{z}{0,2}\) và -y+x=1
6) \(\dfrac{x+11}{13}=\dfrac{y+12}{14}=\dfrac{z+13}{15}\)và x+y+z=6
7) 5x=4y và x.y=20
7) 5x=4y ⇒\(\dfrac{x}{4}=\dfrac{y}{5}\)
Nhân cả hai vế với \(\dfrac{x}{4}\), ta có: \(\left(\dfrac{x}{4}\right)^2=\dfrac{x}{4}.\dfrac{y}{5}=\dfrac{xy}{20}=\dfrac{20}{20}=1\)
\(\left(\dfrac{x}{4}\right)^2=1\Rightarrow\left[{}\begin{matrix}\dfrac{x}{4}=1\\\dfrac{x}{4}=-1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=4\\x=-4\end{matrix}\right.\)
⇒ \(\left[{}\begin{matrix}y=5\\y=-5\end{matrix}\right.\)
4) áp dụng tính chất dãy tỉ số bằng nhau ta có:
\(\dfrac{x}{0,5}=\dfrac{y}{0,3}=\dfrac{z}{0,2}=\dfrac{z-y+x}{0,2-0,3+0,5}=\dfrac{1}{\dfrac{2}{5}}=\dfrac{5}{2}\)
\(\dfrac{x}{0,5}=\dfrac{5}{2}\Rightarrow x=\dfrac{5}{4}\)
\(\dfrac{y}{0,3}=\dfrac{5}{2}\Rightarrow y=\dfrac{3}{4}\)
\(\dfrac{z}{0,2}=\dfrac{5}{2}\Rightarrow z=\dfrac{1}{2}\)
6) áp dụng tính chất dãy tỉ số bằng nhau ta có:
\(\dfrac{x+11}{13}=\dfrac{y+12}{14}=\dfrac{z+13}{15}=\dfrac{x+11+y+12+z+13}{13+14+15}=\dfrac{42}{42}=1\)
\(\dfrac{x+11}{13}=1\Rightarrow x=2\)
\(\dfrac{y+12}{13}=1\Rightarrow y=1\)
\(\dfrac{z+13}{15}=1\Rightarrow z=2\)
7) \(5x=4y\Rightarrow\dfrac{x}{4}=\dfrac{y}{5}=k\)
\(\Rightarrow x=4k,y=5k\)
\(x.y=20\\ \Rightarrow4k.5k=20\\ \Rightarrow20k^2=20\\ \Rightarrow k^2=1\\ \Rightarrow\left[{}\begin{matrix}k=-1\\k=1\end{matrix}\right.\)
\(x=4k\Rightarrow\left[{}\begin{matrix}x=-4\\x=4\end{matrix}\right.\)
\(y=5k\Rightarrow\left[{}\begin{matrix}y=-5\\y=5\end{matrix}\right.\)
Vậy \(\left(x,y\right)=\left\{\left(-4;-5\right);\left(4;5\right)\right\}\)
Tìm số nguyên x, biết:
a) (x-3) + 11 = -25
b) 5 - (x-1) =12 -16
c) (x-14) + (-22) -6 -12
d) (-15) - (15-x) = -6 + (-8)
Tìm x biết:
a, x+1/10+x+1/11+x+1/12+x+1/13
b,x+10/20+x+8/22=x+6/24+x+3/27
c,x+7/19+x3/15=x+7/16+x+3/15
Bui Bao Ngoc oi! phan a,la (x+1)/10 hay x+(1/10)?
cac phan khac nua!
a. ) x-22/8 + x-21/9 + x-20/10 + x-19/11 =4
b -x+12/7 + -x+13/6 = -x+15/4 + -x+16/3
\(a,\frac{x-22}{8}+\frac{x-21}{9}+\frac{x-20}{10}+\frac{x-19}{11}\)
\(a,\frac{x-22}{8}+\frac{x-21}{9}+\frac{x-20}{10}+\frac{x-19}{11}=4\)
\(\Leftrightarrow\frac{x-22}{8}-1+\frac{x-21}{9}-1+\frac{x-20}{10}-1+\frac{x-19}{11}-1=0\)
\(\Leftrightarrow\frac{x-30}{8}+\frac{x-30}{9}+\frac{x-30}{10}+\frac{x-30}{11}=0\)
\(\Leftrightarrow\left(x-30\right)\left(\frac{1}{8}+\frac{1}{9}+\frac{1}{10}+\frac{1}{11}\right)=0\)
\(\Leftrightarrow\left(x-30\right)=0\)
\(\Leftrightarrow x=30\)
\(b,\frac{-x+12}{7}+\frac{-x+13}{6}=\frac{-x+15}{4}+\frac{-x+16}{3}\)
\(\Leftrightarrow\frac{-x+12}{7}+1+\frac{-x+13}{6}+1=\frac{-x+15}{4}+1+\frac{-x+16}{3}+1\)
\(\Leftrightarrow\frac{19-x}{7}+\frac{19-x}{6}-\frac{19-x}{4}-\frac{19-x}{3}=0\)
\(\Leftrightarrow\left(19-x\right)\left(\frac{1}{7}+\frac{1}{6}-\frac{1}{4}-\frac{1}{3}\right)=0\)
\(\Leftrightarrow19-x=0\)
\(\Leftrightarrow x=19\)
Tính hợp lý:
1) 35 x 18 - 5 x 7 x 18
2) 45 - 5 x ( 12 + 9)
3) 24 x ( 16 - 5) - 16 x ( 24 - 5)
4) 29 x ( 19 - 13) - 19 x ( 29 - 13 )
5) 31 x (-18) + 31 x (-81) - 31
6) (-12) x 47 + (-12) x 52 + (-12)
7) 13 x ( 23 + 22 ) - 3 x ( 17 + 28 )
8) -48 + 48 x (-78) + 48 x (-21)
1) = 35 . 18 - 35 . 18 = 0
2) = 45 - 5 . 12 + 5 . 9 = 45 - 60 + 45 = 30
3) = 24 . 16 - 24 . 5 - 16 . 24 - 16 . 5
= (24 . 16 - 16 . 24) - 5 (24 - 16)
= 0 - 5 . 8 = 0 - 40 = -40
4) = 29 . 19 - 29 . 13 - 19 . 29 - 19 . 13
= (29 . 19 - 29 . 19) - 13 (29 - 19)
= 0 - 13 . 10 = 0 - 130 = -130
5) = 31 . (-18) + 31 . (-81) - 31 . 1
= 31 [(-18) + (-81) - 1]
= 31 . (-100) = -3100
6) = (-12) . 47 + (-12) . 52 + (-12). 1
= (-12) . (47 + 52 + 1)
= (-12) . 100 = -1200
7) = 13 . 45 - 3 . 45
= 45 (13 - 3)
= 45 . 10 = 450
8) = (-48) + 48 . (-78) + 48 . (-21)
= (-48) . 1 + 48 . (-78) + 48 . (-21)
= 48 . (-1) + 48 . (-78) + 48 . (-21)
= 48 . [(-1) + (-78) + (-21)]
= 48 . (-100) = -4800
1) 35x18-5x7x18
= 35x18-35x18
= 35x(18-18)
= 35x0=0
3) 24.(16-5)-16.(24-5)
= 24.16-24.5-16.24-16.5
=[24.16-16.24]-[24.5-16.5]
= [ 24. (16-16)]- [(24-16).5]
= [24.0]-[8.5]
= 0-40=-40
4) 29.(19-13)-19.(29-13)
=29.19-29.13-19.29-19.13
=[ 29.19-19.29]-[ 29.13-19.13]
= [ 29.(19-19)]-[(29-19).13]
=[29.0]-[10.13]
= 0-130= -130
5) 31.(-18)+31.(-81)-31
= 31.(-18)+31.(-81)-31.1
= 31.[(-18)+(-81)-1]
=31.(-100)
= -3100
6);7);8 tương tự 4);5);6)
