(x - 1/3) : 1/2 + 3/4 = 38/7
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A) 7/38 x 9/11 +7/38 x 4/11 -7/38 x 2/11
=7/38.(9/11+4/11-2/11)
=7/38
B) 5/31 x 21/25 + 5/31 x -7/10 - 5/31 x 9/20
=5/31.(21/25-7/10-9/20)
=5/31.(-31/100)
=-1/20
1) 2(x + 5) + 3(x + 7) = 41
2x + 10 + 3x + 21 = 41
5x + 31 = 41
5x = 10
x = 2
6) 7(x - 1) + 5(3 - x) = 11x - 10
7x - 7 + 15 - 5x = 11x - 10
2x + 8 = 11x - 10
-9x = -18
x = 2
2) 5(x + 6) + 2(x - 3) = 38
5x + 30 + 2x - 6 = 38
7x + 24 = 38
7x = 14
x = 2
7) 4(2 + x) + 3(x - 2) = 12
8 + 4x + 3x - 6 = 12
7x + 2 = 12
7x = 10
x = 10/7
3) 7(5 + x) + 2(x - 10) = 15
35 + 7x + 2x - 20 = 15
9x + 15 = 15
9x = 0
x = 0
8) 5(2 + x) + 4(3 - x) = 10x - 15
10 + 5x + 12 - 4x = 10x - 15
x + 22 = 10x - 15
9x = 37
x = 37/9
4) 3(x + 4) + (8 - 2x) = 22
3x + 12 + 8 - 2x = 22
x + 20 = 22
x = 2
9) 7(x - 2) + 5(3 - x) = 11x - 6
7x - 14 + 15 - 5x = 11x - 6
2x + 1 = 11x - 6
-9x = -7
x = 7/9
5) 4(x + 5) + 3(7 - x) = 49
4x + 20 + 21 - 3x = 49
x + 41 = 49
x = 8
10) 5(3 - x) + 5(x + 4) = 6 + 4x
15 - 5x + 5x + 20 = 6 + 4x
35 = 6 + 4x
4x = 29
x = 29/4
1) 2(x + 5) + 3(x + 7) = 41
2x + 10 + 3x + 21 = 41
5x + 31 = 41
5x = 41 - 31
5x = 10
x = 10 : 5
x = 2
2) 5(x + 6) + 2(x - 3) = 38
5x + 30 + 2x - 6 = 38
7x + 24 = 38
7x = 38 - 24
7x = 14
x = 14 : 7
x = 2
3) 7(5 + x) + 2(x - 10) = 15
35 + 7x + 2x - 20 = 15
9x + 15 = 15
9x = 15 - 15
9x = 0
x = 0
4) 3(x + 4) + (8 - 2x) = 22
3x + 12 + 8 - 2x = 22
x + 20 = 22
x = 22 - 20
x = 2
5) 4(x + 5) + 3(7 - x) = 49
4x + 20 + 21 - 3x = 49
x + 41 = 49
x = 49 - 41
x = 8
6) 7(x - 1) + 5(3 - x) = 11x - 10
7x - 7 + 15 - 5x = 11x - 10
2x - 11x + 8 = -10
-9x = -10 - 8
-9x = -18
x = -18 : (-9)
x = 2
7) 4(2 + x) + 3(x - 2) = 12
8 + 4x + 3x - 6 = 12
7x + 2 = 12
7x = 12 - 2
7x = 10
x = 10/7
8) 5(2 + x) + 4(3 - x) = 10x - 15
10 + 5x + 12 - 4x = 10x - 15
10x - 15 = x + 22
10x - x = 22 + 15
9x = 37
x = 37/9
9) 7(x - 2) + 5(3 - x) = 11x - 6
7x - 14 + 15 - 5x = 11x - 6
11x - 6 = 2x + 1
11x - 2x = 1 + 6
9x = 7
x = 7/9
10) 5(3 - x) + 5(x + 4) = 6 + 4x
15 - 5x + 5x + 20 = 6 + 4x
6 + 4x = 35
4x = 35 - 6
4x = 29
x = 29/4
1) 2(x + 5) + 3(x + 7) = 41
2x + 10 + 3x + 21 = 41
5x + 31 = 41
5x = 10
x = 2
6) 7(x - 1) + 5(3 - x) = 11x - 10
7x - 7 + 15 - 5x = 11x - 10
2x + 8 = 11x - 10
-9x = -18
x = 2
2) 5(x + 6) + 2(x - 3) = 38
5x + 30 + 2x - 6 = 38
7x + 24 = 38
7x = 14
x = 2
7) 4(2 + x) + 3(x - 2) = 12
8 + 4x + 3x - 6 = 12
7x + 2 = 12
7x = 10
x = 10/7
3) 7(5 + x) + 2(x - 10) = 15
35 + 7x + 2x - 20 = 15
9x + 15 = 15
9x = 0
x = 0
8) 5(2 + x) + 4(3 - x) = 10x - 15
10 + 5x + 12 - 4x = 10x - 15
x + 22 = 10x - 15
9x = 37
x = 37/9
4) 3(x + 4) + (8 - 2x) = 22
3x + 12 + 8 - 2x = 22
x + 20 = 22
x = 2
9) 7(x - 2) + 5(3 - x) = 11x - 6
7x - 14 + 15 - 5x = 11x - 6
2x + 1 = 11x - 6
-9x = -7
x = 7/9
5) 4(x + 5) + 3(7 - x) = 49
4x + 20 + 21 - 3x = 49
x + 41 = 49
x = 8
10) 5(3 - x) + 5(x + 4) = 6 + 4x
15 - 5x + 5x + 20 = 6 + 4x
35 = 6 + 4x
4x = 29
x = 29/4
a) 36 x (7 + 3) = ?
Cách 1: 36 x (7 + 3)
= 36 x 10 = 360
Cách 2: 36 x (7 + 3)
= 36 x 7 + 36 x 3 = 360
+) 207 x (2 +6) =?
Cách 1: 207 x (2 +6)
= 207 x 8 = 1656
Cách 2: 207 x (2 +6)
= 207 x 2 + 207 x 6 = 1656
b) 5 x 38 + 5 x 62 =?
Cách 1: 5 x 38 + 5 x 62
= 190 + 310 = 500
Cách 2: 5 x 38 + 5 x 62
= 5 x (38 +62) = 5 x 100 = 500
+) 135 x 8 + 135 x 2 =?
Cách 1: 135 x 8 + 135 x 2
= 1080 + 270 = 1350
Cách 2: 135 x 8 + 135 x 2
= 135 x (8 + 2) = 1350
Nói thêm: Nếu tính theo cách 1 thì nhanh hơn.
Tính và so sánh giá tri của biểu thức:
(3 +5) x 4 và 3 x 4 + 4 x 5
Từ kết quả so sánh, nêu cách nhân một tổng với một số.
a: 3/7x4/5=12/35
2/5+3/4=8/20+15/20=23/20
b: 2/5:4=2/20=1/10
1/4+2=9/4
c: 2/5:2/3=3/5
2/3-3/8=16/24-9/24=7/24
a, (x-1)^2 + (x+3)^2 = 2(x-2)(x+1) + 38
<=> x^2 -2x +1 + x^2 + 6x +9 = 2x^2 +2x -4x -4 +38
<=> x^2 -2x +x^2 +6x -2x^2 -2x +4x= -4 +38 -10
<=> 6x= 24
<=> x = 4
=> S={4}
b, 5(2x-3)-4(5x-7)= 19 -2(x+11)
<=> 10x -15 -20x +28 = 19-2x-22
<=> 10x -20x +2x = 19 -22 +15 -28
<=> -8x = -16
<=> x = 2
=> S={2}
a.\(x+\dfrac{4}{7}=\dfrac{38}{21}\)
\(x=\dfrac{38}{21}-\dfrac{4}{7}\)
\(x=\dfrac{38}{21}-\dfrac{12}{21}=\dfrac{26}{21}\)
b.\(x-\dfrac{1}{3}=\dfrac{7}{45}:\dfrac{2}{15}\)
\(x-\dfrac{1}{3}=\dfrac{7}{6}\)
\(x=\dfrac{7}{6}+\dfrac{1}{3}\)
\(x=\dfrac{7}{6}+\dfrac{2}{6}=\dfrac{9}{6}\)
\(\left(x-\dfrac{1}{3}\right):\dfrac{1}{2}+\dfrac{3}{4}=\dfrac{38}{7}\)
=>\(\left(x-\dfrac{1}{3}\right):\dfrac{1}{2}=\dfrac{38}{7}-\dfrac{3}{4}=\dfrac{152-21}{28}=\dfrac{131}{28}\)
=>\(x-\dfrac{1}{3}=\dfrac{1}{2}\cdot\dfrac{131}{28}=\dfrac{131}{56}\)
=>\(x=\dfrac{131}{56}+\dfrac{1}{3}=\dfrac{449}{168}\)