Qusai Murad: 8E & 8F and Solving Using Fractions

Algebric Flowcharts (A) & Using Fractions

100

4x + 8

Build- Up : (x) * 4 = (4x) + 8 = (4x + 8) 

Undo : (4x + 8) ÷ 4 = (x + 8) - 8 = (x)

200

(-9x)/-21

Build-Up:(x)*-9=(-9x) ÷-21=((-9x)/21)

Undo: ((-9x)/21)*21=(9x)÷9=(x)

300

(x+10)/13

Build-Up: (x) +10 = (x+10) ÷ 13 = ((x+10)/13)

Undo: ((x+10)/13) * 13 = (x+10) -10 = (x)

400

(9x)/9-99

Build-Up:(x)*9=(9x) ÷9=((9x)/9=((9x)/9)-99=((9x)/9-99)

Undo:((9x)/9-99)+99=((9x)/9)*9=(9x)÷9=(x)

500

(6(2x+4))/8

Build-Up: (x)*2= (2x)+4= (2x+4)*6= 6(2x+4) ÷ 8 = ((6(2x+4))/8)

Undo: ((6(2x+4))/8) *8= (6(2x+4))÷6= (2x+4) -4= (2x) ÷2= (x)

Solving Equations (A) & Using Fractions

100

x+3=4

x=1

200

x/8-16=17

x=264

300

4=2(1x/4+1/2)

x=6

400

4=6*4/(8+2x)

x=-1

500

5/x(-17+3x)=16

x=-85

Solving Equations & Algebraic Flowcharts & Using Fractions

100

48=4/1(x+4)

x=8

200

-27(3x-51)

Build-Up: (x)*3=(3x)-51=(3x-51)*-27=(-27(3x-51))

Undo: (-27(3x-51))÷-27=(3x-51)+51=(3x)÷3=(x)

300

4(2x+6)/4=8-2x

x=1/2

400

2(x-4)/(2(2x-8) )=56

No-Solution

500

(2/1(9+6x))/4+23

Build-Up: (x)*6=(6x)+9=(9+6x)*2/1=(2/1(9+6x)) ÷4=((2/1(9+6x))/4)+23=((2/1(9+6x))/4+23)

Undo:((2/1(9+6x))/4+23)-23=((2/1(9+6x))/4)*4=(2/1(9+6x))÷2/1=(9+6x)-9=(6x)÷6=(x)

Solving Equations (B) & Using Fractions

100

2x=1/2

x=1

200

45=x(3/1+2)

x=9

300

(3(3x+6))/3=72

x=22

400

3(x+7)*6/(2x)=21

x=21/4

500

1/8=2(x+12)+1x/4

x=-191/18

Algebric Flowcharts (B) & Using Fractions

100

8(x+4)

Build-Up: (x) + 4 = (x + 4) * 8 = (8(x + 4))

Undo: 8(x + 4) ÷ 8 = (x + 4) - 4 = (x)

200

(4x)/18

Build-Up:(x)*4=(4x) ÷18=((4x)/18)

Undo:((4x)/18)*18=(4x)÷4=(x)

300

x/3 +1

Build-Up: (x) ÷ 3 = (x/3) + 1 = (x/3 + 1)

Undo: (x/3 + 1) -1 = (x/3) *3 = (x)

400

(4x-44)/4

Build-Up:(x)*4=(4x)-44=(4x-44) ÷4=((4x-44)/4)

Undo:((4x-44)/4)*4=(4x-44)+44=(4x)÷4=(x)

500

x/3+81(4-19)

Build-Up:(x) ÷3=((x/3))+4=((x/3)+4)-19=((x/3)+4-19)*81=(x/3+81(4-19)

Undo:(x/3+81(4-19)÷81=((x/3)+4-19)+19=((x/3)+4)-4=((x/3))*3=(x)