Bài 1: Tìm x:
a, (2x-5)+17=6
b, 10-2(4-3x)=-4
c, -12+3(-x+7)=-18
d, -45:5.(-3-2x) =3
Bài 2: Tính hợp lý:
a, 35.18-5.7.28
b, 45-5.(12+9)
c, 24.(16-5)-16.(24-5)
d, 29.(19-13)-19.(29-13)
Bài 1: Tìm x:
a, (2x-5)+17=6
b, 10-2(4-3x)=-4
c, -12+3(-x+7)=-18
d, -45:5.(-3-2x) =3
Bài 2: Tính hợp lý:
a, 35.18-5.7.28
b, 45-5.(12+9)
c, 24.(16-5)-16.(24-5)
d, 29.(19-13)-19.(29-13)
Đáp án:
Giải thích các bước giải:
Bài 1: Tìm x:
a, (2x-5)+17=6
2x−5=-11
2x=-11+5
2x=-6
x=-6:2
x=-3
Vậy x=-3
b, 10-2(4-3x)=-4
-2(4-3x)=-4-10
-2(4-3x)=-14
4-3x=-14: (-2)
4-3x=7
-3x=7-4
-3x=3
x=3:(-3)
x=-1
Vậy x=-1
c, -12+3(-x+7)=-18
3(-x+7)=-18+12
3(-x+7)=-6
-x+7=-6:3
-x+7=-2
-x=-2-7
-x=-9
x=9
Vậy x=9
d, -45:5.(-3-2x) =3
5.(-3-2x)=-45:3
5.(-3-2x)=-15
-3-2x=-15:5
-3-2x=-3
-2x=-3+3
-2x=0
x=0
Vậy x=0
Bài 2: Tính hợp lý:
a, 35.18-5.7.28
= 35.18 – 35.28
= 35.(18 – 28)
= 35.(-10)
= -350
b, 45-5.(12+9)
= 45 – 5.12 – 5.9
= 45 – 60 – 45
= 45 – 45 – 60
= 0 – 60
= -60
c, 24.(16-5)-16.(24-5)
= 24.16 – 24.5 – 16.24 + 16.5
= (24.16 – 16.24) – (24.5 + 16.5)
= 0 – (24.5 + 16.5)
= -24.5 + 16.5
= 5.(-24 + 16)
= 5.(-8)
= -40
d, 29.(19-13)-19.(29-13)
= 29.19 – 29.13 – 19.29 + 19.13
= (29.19 – 29.19) + (19.13 – 29.13)
= 0 + (19.13 – 29.13)
= 19.13 – 29.13
= 13.(19 – 29)
= 13.(-10)
= -130
`1`
$a)(2x-5)+17=16$
$2x-5=16-17$
$2x=-1+5$
$x=4:2$
$x=2$
$b)10-2(4-3x)=-4$
$2(4-3x)=10-(-4)$
$4-3x=14:2$
$3x=4-7$
$x=-3:3$
$x=-1$
$c)-12+3(-x+7)=-18$
$3(-x+7)=-12+(-18)$
$-x+7=-30:3$
$-x=-10+7$
$-x=-3$
$x=3$
$d)-45:5(-3-2x)=3$
$5(-3-2x)=-45:3$
$-3-2x=-15:5$
$-2x=-3-(-3)$
$-x=0:2$
$-x=0$
$x=0$
`2`
$a)35.18-5.7.28$
$=35.18-35.28$
$=35(18-28)$
$=35(-10)$
$=-350$
$b)45-5(12+9)$
$=45-5.21$
$=45-105$
$=-60$
$c)24(16-5)-16(24-5)$
$=24.16-24.5-16.24-16.5$
$=(24.16-24.5)-(16.24-16.5)$
$=-24.5-16.5$
$=5(-24-16)$
$=5.12$
$=60$
$d)29(19-13)-19(29-13)$
$=29.19-29.13-19.29-19.13$
$=(29.19-19.29)-(29.13-19.13)$
$=19.13-29.13$
$=13(19-29)$
$=13(-10)$
$=-130$