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{"sheet":"Yhtälöt","index":0,"n_rows":52,"n_cols":102,"rows_kept":52,"cut":false,"hidden":false,"merged":[[14,8,14,10],[7,8,7,10],[8,8,8,10],[9,8,9,10],[10,8,10,10],[13,8,13,10],[49,0,49,14],[50,0,50,14],[51,0,51,14],[47,0,47,14],[17,0,17,14],[48,0,48,14],[0,0,0,14],[18,26,18,27],[18,28,18,31],[18,19,18,22],[18,17,18,18],[15,15,17,31],[15,8,15,10],[1,0,1,14],[2,8,2,10],[5,8,5,10],[3,8,3,10],[4,8,4,10],[11,8,11,10],[12,8,12,10],[14,0,14,5],[6,8,6,10],[18,35,18,36],[18,37,18,40],[18,44,18,45],[18,46,18,49],[0,17,0,18],[0,19,0,22],[0,26,0,27],[0,28,0,31],[0,35,0,36],[0,37,0,40],[0,44,0,45],[0,46,0,49]]}
["Tällä excelillä saat tulostettua 40 satunnaista yhtälöä.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Tehtävä","Vastaus","Kertoimia",null,"Yhteenlaskettavia",null,null,null,null,"Tehtävä","Vastaus","Kertoimia",null,"Yhteenlaskettavia",null,null,null,null,"Tehtävä","Vastaus","Kertoimia",null,"Yhteenlaskettavia",null,null,null,null,"Tehtävä","Vastaus","Kertoimia",null,"Yhteenlaskettavia",null,null,null,null,"sarak1","sarak2"]
["Harmaalla pohjalla olevia kohtia voi muuttaa, jolloin lomake arpoo uudet yhtälöt.\nTehtävätyypeissä 11. - 13. vastaus on \"vastaus\" * \"kerroin 1\".\nVersio 2.2b    18.11.2016\n"]
["Vastaus sivu1",null,null,"Min",-10,"Max",10,null,"Yhtälötyypppi",null,null,"Sivu1","Sivu2","Sivu3","Sivu4",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Tyyppi",null,null,null,"normi","muokattu"]
["Vastaus sivu2",null,null,"Min",-10,"Max",10,"1.","  x + a = b",null,null,"x",null,null,"x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(OR(ISBLANK(L4),L4=0),0,1)","v":1},{"$f":"IF(OR(ISBLANK(M4),M4=0),0,1)","v":0},{"$f":"IF(OR(ISBLANK(N4),N4=0),0,1)","v":0},{"$f":"IF(OR(ISBLANK(O4),O4=0),0,1)","v":1},1,{"$f":"RANK($BE4,BA$4:BA$16,1)","v":1},{"$f":"RANK($BE4,BB$4:BB$16,1)","v":5},{"$f":"RANK($BE4,BC$4:BC$16,1)","v":11},{"$f":"RANK($BE4,BD$4:BD$16,1)","v":1}]
["Vastaus sivu3",null,null,"Min",-10,"Max",10,"2.","  x - a = b",null,null,"x",null,null,"x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(OR(ISBLANK(L5),L5=0),BA4,BA4+1)","v":2},{"$f":"IF(OR(ISBLANK(M5),M5=0),BB4,BB4+1)","v":0},{"$f":"IF(OR(ISBLANK(N5),N5=0),BC4,BC4+1)","v":0},{"$f":"IF(OR(ISBLANK(O5),O5=0),BD4,BD4+1)","v":2},2,{"$f":"RANK($BE5,BA$4:BA$16,1)","v":2},{"$f":"RANK($BE5,BB$4:BB$16,1)","v":6},{"$f":"RANK($BE5,BC$4:BC$16,1)","v":12},{"$f":"RANK($BE5,BD$4:BD$16,1)","v":2}]
["Vastaus sivu4",null,null,"Min",-10,"Max",10,"3.","  ax = (a-1)x + b",null,null,"x",null,null,"x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(OR(ISBLANK(L6),L6=0),BA5,BA5+1)","v":3},{"$f":"IF(OR(ISBLANK(M6),M6=0),BB5,BB5+1)","v":0},{"$f":"IF(OR(ISBLANK(N6),N6=0),BC5,BC5+1)","v":0},{"$f":"IF(OR(ISBLANK(O6),O6=0),BD5,BD5+1)","v":3},3,3,7,13,3]
["Vakiot sivu1",null,null,"Min",1,"Max",10,"4.","  ax +/- b = (a-1)x +/- c",null,null,"x",null,null,"x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,0,0,4,4,4,8,{"$error":"#N/A"},4]
["Vakiot sivu2",null,null,"Min",1,"Max",10,"5.","  ax = b",null,null,null,"x",null,"x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,1,0,5,5,{"$error":"#N/A"},9,{"$error":"#N/A"},5]
["Vakiot sivu3",null,null,"Min",1,"Max",10,"6.","  ax + b = c",null,null,null,"x",null,"x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,2,0,6,6,{"$error":"#N/A"},10,{"$error":"#N/A"},6]
["Vakiot sivu4",null,null,"Min",1,"Max",10,"7.","  ax - b = c",null,null,null,"x",null,"x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,3,0,7,7,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},7]
["Kertoimet sivu1",null,null,"Min",-10,"Max",10,"8.","  ax = bx +/- c",null,null,null,"x",null,"x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,4,0,8,8,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},8]
["Kertoimet sivu2",null,null,"Min",-10,"Max",10,"9.","  ax + c = bx +/- c",null,null,null,"x",null,"x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,5,0,9,9,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},9]
["Kertoimet sivu3",null,null,"Min",-10,"Max",10,"10.","  ax - c = bx +/- d",null,null,null,"x",null,"x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,6,0,10,10,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},10]
["Kertoimet sivu4",null,null,"Min",-10,"Max",10,"11.","  x/a = b",null,null,null,null,"x","x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,6,1,11,11,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},11]
["Tulosta vastaukset loppuun (0 = ei, 1 = kyllä)",null,null,null,null,null,1,"12.","  ax/b = c",null,null,null,null,"x","x",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,6,2,12,12,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},12]
[null,null,null,null,null,null,null,"13.","  ax/b + c = d",null,null,null,null,"x","x","Uudet luvut voi arpoa pikanäppäimellä CTRL+k\nSen jälkeen voi vielä yhtälöitä muuttaa muuttamalla alla olevia arvoja.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,6,3,13,13,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},13]
[]
["Tulostuva alue alkaa",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Arvotut",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Murtoyhtälöt",null,null,null,null,null,"Arvottuja laskuvaihtoehtoja",null,null,null,null,null,null,null,null,null,null,null,null,"Kertoimia nollilla",null,null,null,null,null,null,null,null,null,null,"Arvottuja laskuvaihtoehtoja",null,null,null,null,null,null,null,null,null,null,null,null,"Kertoimia nollilla"]
["Laske. Merkitse välivaiheet!",null,null,null,null,null,null,null,null,null,null,null,"Sivu1",null,null,"Tehtävä","Vastaus","Kertoimia",null,"Yhteenlaskettavia",null,null,null,null,"Tehtävä","Vastaus","Kertoimia",null,"Yhteenlaskettavia",null,null,null,null,"Tehtävä","Vastaus","Kertoimia",null,"Yhteenlaskettavia",null,null,null,null,"Tehtävä","Vastaus","Kertoimia",null,"Yhteenlaskettavia",null,null,null,null,"sarak1","sarak2",null,null,"Tehtävä","Arpa",1,2,3,4,5,6,7,8,9,10,11,12,13,1,2,"1 varat",null,null,"2 varat",null,null,null,"Tehtävä","Arpa",1,2,3,4,5,6,7,8,9,10,11,12,13,1,2,"1vara",null,null,"2 varat"]
["1.",{"$f":"INDEX(BF20:BR20,,P20)","v":"−7x = −8x − 10"},null,null,null,null,"6.",{"$f":"INDEX(CD20:CP20,,Y20)","v":"8x = 7x − 3"},null,null,null,null,null,null,null,3,-10,-8,10,10,8,5,4,null,3,-3,7,-5,5,7,4,2,null,{"$f":"INDEX($BE$4:$BE$16,INDEX($BF$4:$BF$16,BE20,))","v":1},{"$f":"RANDBETWEEN($E$3,$G$3)","v":4},{"$f":"IF(BS20=0,BU20,BS20)","v":5},{"$f":"IF(OR(BT20=0,BT20=-R20),BW20,BT20)","v":-8},{"$f":"RANDBETWEEN($E$7,$G$7)","v":6},{"$f":"RANDBETWEEN($E$7,$G$7)","v":1},5,10,null,{"$f":"INDEX($BE$4:$BE$16,INDEX($BF$4:$BF$16,CC20,))","v":1},{"$f":"RANDBETWEEN($E$3,$G$3)","v":0},{"$f":"IF(CQ20=0,CS20,CQ20)","v":-8},{"$f":"IF(OR(CR20=0,CR20=-AA20),CT20,CR20)","v":-8},{"$f":"RANDBETWEEN($E$7,$G$7)","v":10},{"$f":"RANDBETWEEN($E$7,$G$7)","v":3},5,1,null,{"$f":"IF(P20<11,Q20,Q20*R20)","v":-10},{"$f":"IF(Y20<11,Z20,Z20*AA20)","v":-3},null,null,null,{"$f":"RANDBETWEEN(1,$BA$16)","v":1},{"$f":"CONCATENATE(\"x + \",T20,\" = \",IF(Q20+T20<0,\"− \",),ABS(Q20+T20))","v":"x + 10 = 0"},{"$f":"CONCATENATE(\"x − \",T20,\" = \",IF(Q20-T20<0,\"− \",),ABS(Q20-T20))","v":"x − 10 = − 20"},{"$f":"CONCATENATE(IF(R20=-1,\"0 = \",CONCATENATE(IF(R20+1<0,\"−\",\"\"),IF(ABS(R20+1)=1,\"\",ABS(R20+1)),\"x = \")),IF(R20<0,\"−\",\"\"),IF(ABS(R20)=1,\"\",ABS(R20)),\"x \",IF(Q20<0,\"− \",\"+ \"),ABS(Q20))","v":"−7x = −8x − 10"},{"$f":"CONCATENATE(IF(R20=-1,\"\",CONCATENATE(IF(R20+1<0,\"−\",\"\"),IF(ABS(R20+1)=1,\"\",ABS(R20+1)),\"x \")),IF(T20<0,\"− \",IF(R20=-1,\"\",\"+ \")),ABS(T20),\" = \",IF(R20<0,\"−\",\"\"),IF(ABS(R20)=1,\"\",ABS(R20)),\"x \",IF(Q20+T20<0,\"− \",\"+ \"),ABS(Q20+T20))","v":"−7x + 10 = −8x + 0"},{"$f":"CONCATENATE(IF(R20<0,\"−\",\"\"),ABS(R20),\"x = \",IF(R20*Q20<0,\"−\",\"\"),ABS(Q20*R20))","v":"−8x = 80"},{"$f":"CONCATENATE(IF(R20<0,\"−\",\"\"),IF(ABS(R20)=1,\"\",ABS(R20)),\"x \",IF(T20<0,\"− \",\"+ \"),ABS(T20),\" = \",IF(R20*Q20+T20<0,\"−\",\"\"),ABS(Q20*R20+T20))","v":"−8x + 10 = 90"},{"$f":"CONCATENATE(IF(R20<0,\"−\",\"\"),IF(ABS(R20)=1,\"\",ABS(R20)),\"x \",IF(-T20<0,\"− \",\"+ \"),ABS(T20),\" = \",IF(R20*Q20-T20<0,\"−\",\"\"),ABS(Q20*R20-T20))","v":"−8x − 10 = 70"},{"$f":"CONCATENATE(IF(R20+S20<0,\"−\",\"\"),IF(ABS(R20+S20)=1,\"\",ABS(R20+S20)),\"x = \",\nIF(S20<0,\"−\",\"\"),IF(ABS(S20)=1,\"\",ABS(S20)),\"x \",\nIF(Q20*R20<0,\"− \",\"+ \"),ABS(Q20*R20))","v":"2x = 10x + 80"},{"$f":"CONCATENATE(IF(R20+S20<0,\"−\",\"\"),IF(ABS(R20+S20)=1,\"\",ABS(R20+S20)),\"x \",\nIF(T20<0,\"− \",\"+ \"),ABS(T20),\" = \",\nIF(S20<0,\"−\",\"\"),IF(ABS(S20)=1,\"\",ABS(S20)),\"x \",\nIF(Q20*R20+T20<0,\"− \",\"+ \"),ABS(Q20*R20+T20))","v":"2x + 10 = 10x + 90"},{"$f":"CONCATENATE(IF(R20+S20<0,\"−\",\"\"),IF(ABS(R20+S20)=1,\"\",ABS(R20+S20)),\"x \",\nIF(-T20<0,\"− \",\"+ \"),ABS(T20),\" = \",\nIF(S20<0,\"−\",\"\"),IF(ABS(S20)=1,\"\",ABS(S20)),\"x \",\nIF(Q20*R20-T20<0,\"− \",\"+ \"),ABS(Q20*R20-T20))","v":"2x − 10 = 10x + 70"},{"$f":"CONCATENATE(\"x/\",IF(R20<0,CONCATENATE(\"(−\",ABS(R20),\")\"),R20),\" = \",IF(Q20<0,\"−\",\"\"),ABS(Q20))","v":"x/(−8) = −10"},{"$f":"CONCATENATE(IF(S20<0,\"−\",\"\"),ABS(S20),\"x/\",IF(R20<0,CONCATENATE(\"(−\",ABS(R20),\")\"),R20),\" = \",IF(Q20*S20<0,\"−\",\"\"),ABS(Q20*S20))","v":"10x/(−8) = −100"},{"$f":"CONCATENATE(IF(S20<0,\"−\",\"\"),ABS(S20),\"x/\",IF(R20<0,CONCATENATE(\"(−\",ABS(R20),\")\"),R20),\nIF(T20<0,CONCATENATE(\" − \",ABS(T20)),CONCATENATE(\" + \",T20)),\" = \",\nIF(Q20*S20+T20<0,\"−\",\"\"),ABS(Q20*S20+T20))","v":"10x/(−8) + 10 = −90"},{"$f":"IF(BU20=0,IF(BV20=0,IF(BW20=0,1,BW20),BV20),BU20)","v":5},{"$f":"IF(BX20=0,IF(BY20=0,IF(BZ20=0,1,BZ20),BY20),BX20)","v":-8},{"$f":"RANDBETWEEN($E$11,$G$11)","v":5},5,-2,-8,-4,-5,null,null,{"$f":"RANDBETWEEN(1,$BA$16)","v":1},{"$f":"CONCATENATE(\"x + \",AC20,\" = \",IF(Z20+AC20<0,\"− \",),ABS(Z20+AC20))","v":"x + 5 = 2"},{"$f":"CONCATENATE(\"x − \",AC20,\" = \",IF(Z20-AC20<0,\"− \",),ABS(Z20-AC20))","v":"x − 5 = − 8"},{"$f":"CONCATENATE(IF(AA20=-1,\"0 = \",CONCATENATE(IF(AA20+1<0,\"−\",\"\"),IF(ABS(AA20+1)=1,\"\",ABS(AA20+1)),\"x = \")),IF(AA20<0,\"−\",\"\"),IF(ABS(AA20)=1,\"\",ABS(AA20)),\"x \",IF(Z20<0,\"− \",\"+ \"),ABS(Z20))","v":"8x = 7x − 3"},{"$f":"CONCATENATE(IF(AA20=-1,\"\",CONCATENATE(IF(AA20+1<0,\"−\",\"\"),IF(ABS(AA20+1)=1,\"\",ABS(AA20+1)),\"x \")),IF(AC20<0,\"− \",IF(AA20=-1,\"\",\"+ \")),ABS(AC20),\" = \",IF(AA20<0,\"−\",\"\"),IF(ABS(AA20)=1,\"\",ABS(AA20)),\"x \",IF(Z20+AC20<0,\"− \",\"+ \"),ABS(Z20+AC20))","v":"8x + 5 = 7x + 2"},{"$f":"CONCATENATE(IF(AA20<0,\"−\",\"\"),ABS(AA20),\"x = \",IF(AA20*Z20<0,\"−\",\"\"),ABS(Z20*AA20))","v":"7x = −21"},{"$f":"CONCATENATE(IF(AA20<0,\"−\",\"\"),IF(ABS(AA20)=1,\"\",ABS(AA20)),\"x \",IF(AC20<0,\"− \",\"+ \"),ABS(AC20),\" = \",IF(AA20*Z20+AC20<0,\"−\",\"\"),ABS(Z20*AA20+AC20))","v":"7x + 5 = −16"},{"$f":"CONCATENATE(IF(AA20<0,\"−\",\"\"),IF(ABS(AA20)=1,\"\",ABS(AA20)),\"x \",IF(-AC20<0,\"− \",\"+ \"),ABS(AC20),\" = \",IF(AA20*Z20-AC20<0,\"−\",\"\"),ABS(Z20*AA20-AC20))","v":"7x − 5 = −26"},{"$f":"CONCATENATE(IF(AA20+AB20<0,\"−\",\"\"),IF(ABS(AA20+AB20)=1,\"\",ABS(AA20+AB20)),\"x = \",\nIF(AB20<0,\"−\",\"\"),IF(ABS(AB20)=1,\"\",ABS(AB20)),\"x \",\nIF(Z20*AA20<0,\"− \",\"+ \"),ABS(Z20*AA20))","v":"2x = −5x − 21"},{"$f":"CONCATENATE(IF(AA20+S20<0,\"−\",\"\"),IF(ABS(AA20+S20)=1,\"\",ABS(AA20+S20)),\"x \",\nIF(AC20<0,\"− \",\"+ \"),ABS(AC20),\" = \",\nIF(S20<0,\"−\",\"\"),IF(ABS(S20)=1,\"\",ABS(S20)),\"x \",\nIF(Z20*AA20+AC20<0,\"− \",\"+ \"),ABS(Z20*AA20+AC20))","v":"17x + 5 = 10x − 16"},{"$f":"CONCATENATE(IF(AA20+S20<0,\"−\",\"\"),IF(ABS(AA20+S20)=1,\"\",ABS(AA20+S20)),\"x \",\nIF(-AC20<0,\"− \",\"+ \"),ABS(AC20),\" = \",\nIF(S20<0,\"−\",\"\"),IF(ABS(S20)=1,\"\",ABS(S20)),\"x \",\nIF(Z20*AA20-AC20<0,\"− \",\"+ \"),ABS(Z20*AA20-AC20))","v":"17x − 5 = 10x − 26"},{"$f":"CONCATENATE(\"x/\",IF(AA20<0,CONCATENATE(\"(−\",ABS(AA20),\")\"),AA20),\" = \",IF(Z20<0,\"−\",\"\"),ABS(Z20))","v":"x/7 = −3"},{"$f":"CONCATENATE(IF(AB20<0,\"−\",\"\"),ABS(AB20),\"x/\",IF(AA20<0,CONCATENATE(\"(−\",ABS(AA20),\")\"),AA20),\" = \",IF(Z20*AB20<0,\"−\",\"\"),ABS(Z20*AB20))","v":"−5x/7 = 15"},{"$f":"CONCATENATE(IF(AB20<0,\"−\",\"\"),ABS(AB20),\"x/\",IF(AA20<0,CONCATENATE(\"(−\",ABS(AA20),\")\"),AA20),IF(AC20<0,CONCATENATE(\" − \",ABS(AC20)),CONCATENATE(\" + \",AC20)),\" = \",IF(Z20*AB20+AC20<0,\"−\",\"\"),ABS(Z20*AB20+AC20))","v":"−5x/7 + 5 = 20"},{"$f":"IF(CS20=0,IF(CT20=0,IF(CU20=0,1,CU20),CT20),CS20)","v":-8},{"$f":"IF(CV20=0,IF(CW20=0,IF(CX20=0,1,CX20),CW20),CV20)","v":-8},{"$f":"RANDBETWEEN($E$11,$G$11)","v":-8},2,-2,-8,-3,1]
["2.","−7x = −8x − 3",null,null,null,null,"7.","−x + 6 = −2x + 15",null,null,null,null,null,null,null,3,-3,-8,-10,4,9,6,2,null,4,9,-2,3,6,3,3,2,null,{"$f":"INDEX($BE$4:$BE$16,INDEX($BF$4:$BF$16,BE21,))","v":2},6,{"$f":"IF(BS21=0,BU21,BS21)","v":-8},-9,{"$f":"RANDBETWEEN($E$7,$G$7)","v":9},3,10,5,null,{"$f":"INDEX($BE$4:$BE$16,INDEX($BF$4:$BF$16,CC21,))","v":1},0,{"$f":"IF(CQ21=0,CS21,CQ21)","v":-6},-7,{"$f":"RANDBETWEEN($E$7,$G$7)","v":10},6,9,9,null,{"$f":"IF(P21<11,Q21,Q21*R21)","v":-3},{"$f":"IF(Y21<11,Z21,Z21*AA21)","v":9},null,null,null,{"$f":"RANDBETWEEN(1,$BA$16)","v":2},{"$f":"CONCATENATE(\"x + \",T21,\" = \",IF(Q21+T21<0,\"− \",),ABS(Q21+T21))","v":"x + 4 = 1"},{"$f":"CONCATENATE(\"x − \",T21,\" = \",IF(Q21-T21<0,\"− \",),ABS(Q21-T21))","v":"x − 4 = − 7"},{"$f":"CONCATENATE(IF(R21=-1,\"0 = \",CONCATENATE(IF(R21+1<0,\"−\",\"\"),IF(ABS(R21+1)=1,\"\",ABS(R21+1)),\"x = \")),IF(R21<0,\"−\",\"\"),IF(ABS(R21)=1,\"\",ABS(R21)),\"x \",IF(Q21<0,\"− \",\"+ \"),ABS(Q21))","v":"−7x = −8x − 3"},{"$f":"CONCATENATE(IF(R21=-1,\"\",CONCATENATE(IF(R21+1<0,\"−\",\"\"),IF(ABS(R21+1)=1,\"\",ABS(R21+1)),\"x \")),IF(T21<0,\"− \",IF(R21=-1,\"\",\"+ \")),ABS(T21),\" = \",IF(R21<0,\"−\",\"\"),IF(ABS(R21)=1,\"\",ABS(R21)),\"x \",IF(Q21+T21<0,\"− \",\"+ \"),ABS(Q21+T21))","v":"−7x + 4 = −8x + 1"},{"$f":"CONCATENATE(IF(R21<0,\"−\",\"\"),ABS(R21),\"x = \",IF(R21*Q21<0,\"−\",\"\"),ABS(Q21*R21))","v":"−8x = 24"},{"$f":"CONCATENATE(IF(R21<0,\"−\",\"\"),IF(ABS(R21)=1,\"\",ABS(R21)),\"x \",IF(T21<0,\"− \",\"+ \"),ABS(T21),\" = \",IF(R21*Q21+T21<0,\"−\",\"\"),ABS(Q21*R21+T21))","v":"−8x + 4 = 28"},{"$f":"CONCATENATE(IF(R21<0,\"−\",\"\"),IF(ABS(R21)=1,\"\",ABS(R21)),\"x \",IF(-T21<0,\"− \",\"+ \"),ABS(T21),\" = \",IF(R21*Q21-T21<0,\"−\",\"\"),ABS(Q21*R21-T21))","v":"−8x − 4 = 20"},"−18x = −10x + 24",{"$f":"CONCATENATE(IF(R21+S21<0,\"−\",\"\"),IF(ABS(R21+S21)=1,\"\",ABS(R21+S21)),\"x \",\nIF(T21<0,\"− \",\"+ \"),ABS(T21),\" = \",\nIF(S21<0,\"−\",\"\"),IF(ABS(S21)=1,\"\",ABS(S21)),\"x \",\nIF(Q21*R21+T21<0,\"− \",\"+ \"),ABS(Q21*R21+T21))","v":"−18x + 4 = −10x + 28"},{"$f":"CONCATENATE(IF(R21+S21<0,\"−\",\"\"),IF(ABS(R21+S21)=1,\"\",ABS(R21+S21)),\"x \",\nIF(-T21<0,\"− \",\"+ \"),ABS(T21),\" = \",\nIF(S21<0,\"−\",\"\"),IF(ABS(S21)=1,\"\",ABS(S21)),\"x \",\nIF(Q21*R21-T21<0,\"− \",\"+ \"),ABS(Q21*R21-T21))","v":"−18x − 4 = −10x + 20"},{"$f":"CONCATENATE(\"x/\",IF(R21<0,CONCATENATE(\"(−\",ABS(R21),\")\"),R21),\" = \",IF(Q21<0,\"−\",\"\"),ABS(Q21))","v":"x/(−8) = −3"},{"$f":"CONCATENATE(IF(S21<0,\"−\",\"\"),ABS(S21),\"x/\",IF(R21<0,CONCATENATE(\"(−\",ABS(R21),\")\"),R21),\" = \",IF(Q21*S21<0,\"−\",\"\"),ABS(Q21*S21))","v":"−10x/(−8) = 30"},{"$f":"CONCATENATE(IF(S21<0,\"−\",\"\"),ABS(S21),\"x/\",IF(R21<0,CONCATENATE(\"(−\",ABS(R21),\")\"),R21),\nIF(T21<0,CONCATENATE(\" − \",ABS(T21)),CONCATENATE(\" + \",T21)),\" = \",\nIF(Q21*S21+T21<0,\"−\",\"\"),ABS(Q21*S21+T21))","v":"−10x/(−8) + 4 = 34"},{"$f":"IF(BU21=0,IF(BV21=0,IF(BW21=0,1,BW21),BV21),BU21)","v":-8},{"$f":"IF(BX21=0,IF(BY21=0,IF(BZ21=0,1,BZ21),BY21),BX21)","v":-9},-8,8,2,-9,-5,-7,null,null,{"$f":"RANDBETWEEN(1,$BA$16)","v":1},"x + 6 = 15","x − 6 = 3","−x = −2x + 9","−x + 6 = −2x + 15","−2x = −18","−2x + 6 = −12","−2x − 6 = −24","x = 3x − 18","−12x + 6 = −10x − 12","−12x − 6 = −10x − 24","x/(−2) = 9","3x/(−2) = 27","3x/(−2) + 6 = 33",{"$f":"IF(CS21=0,IF(CT21=0,IF(CU21=0,1,CU21),CT21),CS21)","v":-6},{"$f":"IF(CV21=0,IF(CW21=0,IF(CX21=0,1,CX21),CW21),CV21)","v":-7},-6,7,-6,-7,-2,5]
["3.","x + 10 = 18",null,null,null,null,"8.","x + 4 = − 5",null,null,null,null,null,null,null,1,8,8,-10,10,7,3,1,null,1,-9,2,-3,4,10,2,9,null,4,10,1,5,4,7,8,7,null,1,-7,-7,-10,9,6,1,9,null,8,-9,null,null,null,{"$f":"RANDBETWEEN(1,$BA$16)","v":4},"x + 10 = 18","x − 10 = − 2","9x = 8x + 8",{"$f":"CONCATENATE(IF(R22=-1,\"\",CONCATENATE(IF(R22+1<0,\"−\",\"\"),IF(ABS(R22+1)=1,\"\",ABS(R22+1)),\"x \")),IF(T22<0,\"− \",IF(R22=-1,\"\",\"+ \")),ABS(T22),\" = \",IF(R22<0,\"−\",\"\"),IF(ABS(R22)=1,\"\",ABS(R22)),\"x \",IF(Q22+T22<0,\"− \",\"+ \"),ABS(Q22+T22))","v":"9x + 10 = 8x + 18"},"8x = 64","8x + 10 = 74","8x − 10 = 54","−2x = −10x + 64","−2x + 10 = −10x + 74","−2x − 10 = −10x + 54","x/8 = 8","−10x/8 = −80","−10x/8 + 10 = −70",1,5,1,-4,-6,5,-2,10,null,null,{"$f":"RANDBETWEEN(1,$BA$16)","v":1},"x + 4 = − 5","x − 4 = − 13","3x = 2x − 9","3x + 4 = 2x − 5","2x = −18","2x + 4 = −14","2x − 4 = −22","−x = −3x − 18","−8x + 4 = −10x − 14","−8x − 4 = −10x − 22","x/2 = −9","−3x/2 = 27","−3x/2 + 4 = 31",-7,-10,0,-7,-6,-10,-3,1]
["4.","x − 10 = − 20",null,null,null,null,"9.","11x + 6 = 10x + 16",null,null,null,null,null,null,null,2,-10,-10,-5,10,2,2,6,null,4,10,10,-5,6,7,10,4,null,3,2,3,5,6,1,4,9,null,4,5,-9,-7,2,6,7,10,null,-10,10,null,null,null,{"$f":"RANDBETWEEN(1,$BA$16)","v":3},"x + 10 = 0","x − 10 = − 20","−9x = −10x − 10",{"$f":"CONCATENATE(IF(R23=-1,\"\",CONCATENATE(IF(R23+1<0,\"−\",\"\"),IF(ABS(R23+1)=1,\"\",ABS(R23+1)),\"x \")),IF(T23<0,\"− \",IF(R23=-1,\"\",\"+ \")),ABS(T23),\" = \",IF(R23<0,\"−\",\"\"),IF(ABS(R23)=1,\"\",ABS(R23)),\"x \",IF(Q23+T23<0,\"− \",\"+ \"),ABS(Q23+T23))","v":"−9x + 10 = −10x + 0"},"−10x = 100","−10x + 10 = 110","−10x − 10 = 90","−15x = −5x + 100","−15x + 10 = −5x + 110","−15x − 10 = −5x + 90","x/(−10) = −10","−5x/(−10) = 50","−5x/(−10) + 10 = 60",3,5,3,6,0,5,4,-6,null,null,{"$f":"RANDBETWEEN(1,$BA$16)","v":4},"x + 6 = 16","x − 6 = 4","11x = 10x + 10","11x + 6 = 10x + 16","10x = 100","10x + 6 = 106","10x − 6 = 94","5x = −5x + 100","5x + 6 = −5x + 106","5x − 6 = −5x + 94","x/10 = 10","−5x/10 = −50","−5x/10 + 6 = −44",-9,-7,-9,-7,-8,-7,1,-9]
["5.","10x = 9x + 1",null,null,null,null,"10.","−x + 9 = −2x + 14",null,null,null,null,null,null,null,3,1,9,10,9,8,5,6,null,4,5,-2,10,9,3,7,5,null,3,0,-3,-1,2,1,1,6,null,3,2,1,1,1,4,4,7,null,1,5,null,null,null,{"$f":"RANDBETWEEN(1,$BA$16)","v":3},"x + 9 = 10","x − 9 = − 8","10x = 9x + 1",{"$f":"CONCATENATE(IF(R24=-1,\"\",CONCATENATE(IF(R24+1<0,\"−\",\"\"),IF(ABS(R24+1)=1,\"\",ABS(R24+1)),\"x \")),IF(T24<0,\"− \",IF(R24=-1,\"\",\"+ \")),ABS(T24),\" = \",IF(R24<0,\"−\",\"\"),IF(ABS(R24)=1,\"\",ABS(R24)),\"x \",IF(Q24+T24<0,\"− \",\"+ \"),ABS(Q24+T24))","v":"10x + 9 = 9x + 10"},"9x = 9","9x + 9 = 18","9x − 9 = 0","19x = 10x + 9","19x + 9 = 10x + 18","19x − 9 = 10x + 0","x/9 = 1","10x/9 = 10","10x/9 + 9 = 19",-3,-1,-3,-6,-5,-1,-8,6,null,null,{"$f":"RANDBETWEEN(1,$BA$16)","v":3},"x + 9 = 14","x − 9 = − 4","−x = −2x + 5","−x + 9 = −2x + 14","−2x = −10","−2x + 9 = −1","−2x − 9 = −19","8x = 10x − 10","8x + 9 = 10x − 1","8x − 9 = 10x − 19","x/(−2) = 5","10x/(−2) = 50","10x/(−2) + 9 = 59",1,1,1,-3,3,1,-7,-10]
["11.","6x − 10 = 14",null,null,null,null,"16.","−5x + 9 = 49",null,null,null,null,"Sivu2",null,null,7,4,6,-10,10,6,7,3,null,6,-8,-5,7,9,6,8,6,null,{"$f":"INDEX($BE$4:$BE$16,INDEX($BG$4:$BG$16,BE25,))","v":7},{"$f":"RANDBETWEEN($E$4,$G$4)","v":-7},2,-1,{"$f":"RANDBETWEEN($E$8,$G$8)","v":4},{"$f":"RANDBETWEEN($E$8,$G$8)","v":1},4,1,null,{"$f":"INDEX($BE$4:$BE$16,INDEX($BG$4:$BG$16,CC25,))","v":8},{"$f":"RANDBETWEEN($E$4,$G$4)","v":-9},-1,-1,{"$f":"RANDBETWEEN($E$8,$G$8)","v":2},{"$f":"RANDBETWEEN($E$8,$G$8)","v":4},5,8,null,4,-8,null,null,null,{"$f":"RANDBETWEEN(1,$BB$16)","v":3},"x + 10 = 14","x − 10 = − 6","7x = 6x + 4","7x + 10 = 6x + 14","6x = 24","6x + 10 = 34","6x − 10 = 14","−4x = −10x + 24","−4x + 10 = −10x + 34","−4x − 10 = −10x + 14","x/6 = 4","−10x/6 = −40","−10x/6 + 10 = −30",2,-1,{"$f":"RANDBETWEEN($E$12,$G$12)","v":2},-5,-2,-1,1,-7,null,null,{"$f":"RANDBETWEEN(1,$BB$16)","v":4},"x + 9 = 1","x − 9 = − 17","−4x = −5x − 8","−4x + 9 = −5x + 1","−5x = 40","−5x + 9 = 49","−5x − 9 = 31","2x = 7x + 40","−15x + 9 = −10x + 49","−15x − 9 = −10x + 31","x/(−5) = −8","7x/(−5) = −56","7x/(−5) + 9 = −47",-1,-1,{"$f":"RANDBETWEEN($E$12,$G$12)","v":-1},6,2,-1,-2,9]
["12.","3x = −9",null,null,null,null,"17.","2x − 3 = −6x + 69",null,null,null,null,null,null,null,5,-3,3,-6,9,9,1,1,null,10,9,8,-4,3,4,8,4,null,{"$f":"INDEX($BE$4:$BE$16,INDEX($BG$4:$BG$16,BE26,))","v":9},{"$f":"RANDBETWEEN($E$4,$G$4)","v":6},1,3,{"$f":"RANDBETWEEN($E$8,$G$8)","v":7},5,1,2,null,{"$f":"INDEX($BE$4:$BE$16,INDEX($BG$4:$BG$16,CC26,))","v":6},{"$f":"RANDBETWEEN($E$4,$G$4)","v":7},-5,-2,{"$f":"RANDBETWEEN($E$8,$G$8)","v":1},5,3,10,null,-3,9,null,null,null,{"$f":"RANDBETWEEN(1,$BB$16)","v":5},"x + 9 = 6","x − 9 = − 12","4x = 3x − 3","4x + 9 = 3x + 6","3x = −9","3x + 9 = 0","3x − 9 = −18","−3x = −6x − 9","−3x + 9 = −6x + 0","−3x − 9 = −6x − 18","x/3 = −3","−6x/3 = 18","−6x/3 + 9 = 27",1,3,{"$f":"RANDBETWEEN($E$12,$G$12)","v":1},-5,0,3,7,5,null,null,{"$f":"RANDBETWEEN(1,$BB$16)","v":2},"x + 3 = 12","x − 3 = 6","9x = 8x + 9","9x + 3 = 8x + 12","8x = 72","8x + 3 = 75","8x − 3 = 69","4x = −4x + 72","2x + 3 = −6x + 75","2x − 3 = −6x + 69","x/8 = 9","−4x/8 = −36","−4x/8 + 3 = −33",-5,-2,-5,-2,0,-2,-4,-7]
["13.","−x − 3 = 4",null,null,null,null,"18.","2x = −6x + 64",null,null,null,null,null,null,null,7,-7,-1,-7,3,3,10,10,null,8,8,8,-6,5,6,5,7,null,9,-4,-2,-8,4,10,8,6,null,10,3,7,3,4,7,2,9,null,-7,8,null,null,null,{"$f":"RANDBETWEEN(1,$BB$16)","v":5},"x + 3 = − 4","x − 3 = − 10","0 = −x − 7","3 = −x − 4","−1x = 7","−x + 3 = 10","−x − 3 = 4","−8x = −7x + 7","−8x + 3 = −7x + 10","−8x − 3 = −7x + 4","x/(−1) = −7","−7x/(−1) = 49","−7x/(−1) + 3 = 52",-2,-8,-2,-5,3,-8,5,-4,null,null,{"$f":"RANDBETWEEN(1,$BB$16)","v":6},"x + 5 = 13","x − 5 = 3","9x = 8x + 8","9x + 5 = 8x + 13","8x = 64","8x + 5 = 69","8x − 5 = 59","2x = −6x + 64","x + 5 = −7x + 69","x − 5 = −7x + 59","x/8 = 8","−6x/8 = −48","−6x/8 + 5 = −43",7,3,7,-2,-5,3,-5,5]
["14.","−12x + 8 = −2x − 92",null,null,null,null,"19.","4x + 1 = −11",null,null,null,null,null,null,null,9,10,-10,-2,8,6,9,6,null,6,-3,4,-9,1,10,4,2,null,5,-1,10,-6,4,9,7,3,null,5,5,10,10,5,3,5,2,null,10,-3,null,null,null,{"$f":"RANDBETWEEN(1,$BB$16)","v":1},"x + 8 = 18","x − 8 = 2","−9x = −10x + 10","−9x + 8 = −10x + 18","−10x = −100","−10x + 8 = −92","−10x − 8 = −108","−12x = −2x − 100","−12x + 8 = −2x − 92","−12x − 8 = −2x − 108","x/(−10) = 10","−2x/(−10) = −20","−2x/(−10) + 8 = −12",10,-6,10,-3,-9,-6,8,-1,null,null,{"$f":"RANDBETWEEN(1,$BB$16)","v":1},"x + 1 = − 2","x − 1 = − 4","5x = 4x − 3","5x + 1 = 4x − 2","4x = −12","4x + 1 = −11","4x − 1 = −13","−5x = −9x − 12","2x + 1 = −2x − 11","2x − 1 = −2x − 13","x/4 = −3","−9x/4 = 27","−9x/4 + 1 = 28",10,10,10,8,9,10,-4,-8]
["15.","−9x = −45",null,null,null,null,"20.","1x = −7",null,null,null,null,null,null,null,5,5,-9,-10,2,10,7,5,null,5,-7,1,8,5,4,9,4,null,9,-4,-3,-9,6,8,4,8,null,7,6,-8,6,10,5,6,7,null,5,-7,null,null,null,{"$f":"RANDBETWEEN(1,$BB$16)","v":5},"x + 2 = 7","x − 2 = 3","−8x = −9x + 5","−8x + 2 = −9x + 7","−9x = −45","−9x + 2 = −43","−9x − 2 = −47",{"$f":"CONCATENATE(IF(R29+S29<0,\"−\",\"\"),IF(ABS(R29+S29)=1,\"\",ABS(R29+S29)),\"x = \",\nIF(S29<0,\"−\",\"\"),IF(ABS(S29)=1,\"\",ABS(S29)),\"x \",\nIF(Q29*R29<0,\"− \",\"+ \"),ABS(Q29*R29))","v":"−19x = −10x − 45"},"−19x + 2 = −10x − 43","−19x − 2 = −10x − 47","x/(−9) = 5","−10x/(−9) = −50","−10x/(−9) + 2 = −48",-3,-9,-3,0,-8,-9,6,-2,null,null,{"$f":"RANDBETWEEN(1,$BB$16)","v":3},"x + 5 = − 2","x − 5 = − 12","2x = x − 7","2x + 5 = x − 2","1x = −7","x + 5 = −2","x − 5 = −12","9x = 8x − 7","−9x + 5 = −10x − 2","−9x − 5 = −10x − 12","x/1 = −7","8x/1 = −56","8x/1 + 5 = −51",-8,6,-8,7,4,6,-1,-10]
["21.","−3x/5 = 30",null,null,null,null,"26.","x/2 = 10",null,null,null,null,"sivu3",null,null,12,-10,5,-3,10,2,4,7,null,11,10,2,-3,2,10,2,2,null,{"$f":"INDEX($BE$4:$BE$16,INDEX($BH$4:$BH$16,BE30,))","v":13},{"$f":"RANDBETWEEN($E$5,$G$5)","v":-2},10,-1,{"$f":"RANDBETWEEN($E$9,$G$9)","v":1},{"$f":"RANDBETWEEN($E$9,$G$9)","v":4},3,4,null,{"$f":"INDEX($BE$4:$BE$16,INDEX($BH$4:$BH$16,CC30,))","v":12},{"$f":"RANDBETWEEN($E$5,$G$5)","v":-9},-9,3,{"$f":"RANDBETWEEN($E$9,$G$9)","v":10},{"$f":"RANDBETWEEN($E$9,$G$9)","v":1},2,5,null,-50,20,null,null,null,{"$f":"RANDBETWEEN(1,$BC$16)","v":3},"x + 10 = 0","x − 10 = − 20","6x = 5x − 10","6x + 10 = 5x + 0","5x = −50","5x + 10 = −40","5x − 10 = −60","2x = −3x − 50","2x + 10 = −3x − 40","2x − 10 = −3x − 60","x/5 = −10","−3x/5 = 30","−3x/5 + 10 = 40",10,-1,{"$f":"RANDBETWEEN($E$13,$G$13)","v":10},-3,5,0,-1,5,null,null,{"$f":"RANDBETWEEN(1,$BC$16)","v":2},"x + 2 = 12","x − 2 = 8","3x = 2x + 10","3x + 2 = 2x + 12","2x = 20","2x + 2 = 22","2x − 2 = 18","−x = −3x + 20","−x + 2 = −3x + 22","−x − 2 = −3x + 18","x/2 = 10","−3x/2 = −30","−3x/2 + 2 = −28",-9,3,{"$f":"RANDBETWEEN($E$13,$G$13)","v":-9},8,-8,3,-2,-5]
["22.","−6x/(−3) = −24",null,null,null,null,"27.","−5x/3 = 40",null,null,null,null,null,null,null,12,4,-3,-6,9,2,2,4,null,12,-8,3,-5,9,4,8,10,null,{"$f":"INDEX($BE$4:$BE$16,INDEX($BH$4:$BH$16,BE31,))","v":12},{"$f":"RANDBETWEEN($E$5,$G$5)","v":6},5,-5,{"$f":"RANDBETWEEN($E$9,$G$9)","v":4},10,2,5,null,{"$f":"INDEX($BE$4:$BE$16,INDEX($BH$4:$BH$16,CC31,))","v":12},{"$f":"RANDBETWEEN($E$5,$G$5)","v":-1},7,-9,{"$f":"RANDBETWEEN($E$9,$G$9)","v":10},3,2,1,null,-12,-24,null,null,null,{"$f":"RANDBETWEEN(1,$BC$16)","v":2},"x + 9 = 13","x − 9 = − 5","−2x = −3x + 4","−2x + 9 = −3x + 13","−3x = −12","−3x + 9 = −3","−3x − 9 = −21","−9x = −6x − 12","−9x + 9 = −6x − 3","−9x − 9 = −6x − 21","x/(−3) = 4","−6x/(−3) = −24","−6x/(−3) + 9 = −15",5,3,{"$f":"RANDBETWEEN($E$13,$G$13)","v":5},-4,-5,3,0,-5,null,null,{"$f":"RANDBETWEEN(1,$BC$16)","v":2},"x + 9 = 1","x − 9 = − 17","4x = 3x − 8","4x + 9 = 3x + 1","3x = −24","3x + 9 = −15","3x − 9 = −33","−2x = −5x − 24","−3x + 9 = −6x − 15","−3x − 9 = −6x − 33","x/3 = −8","−5x/3 = 40","−5x/3 + 9 = 49",7,-9,7,-7,-5,-9,9,-3]
["23.","5x/(−2) + 5 = 35",null,null,null,null,"28.","−8x/(−5) = 0",null,null,null,null,null,null,null,13,6,-2,5,5,6,2,1,null,12,0,-5,-8,3,2,3,8,null,12,7,2,6,10,8,5,8,null,12,-1,-8,-9,1,6,3,10,null,-12,0,null,null,null,{"$f":"RANDBETWEEN(1,$BC$16)","v":2},"x + 5 = 11","x − 5 = 1","−x = −2x + 6","−x + 5 = −2x + 11","−2x = −12","−2x + 5 = −7","−2x − 5 = −17","3x = 5x − 12","3x + 5 = 5x − 7","3x − 5 = 5x − 17","x/(−2) = 6","5x/(−2) = 30","5x/(−2) + 5 = 35",2,6,2,9,-9,6,7,-1,null,null,{"$f":"RANDBETWEEN(1,$BC$16)","v":2},"x + 3 = 3","x − 3 = − 3","−4x = −5x + 0","−4x + 3 = −5x + 3","−5x = 0","−5x + 3 = 3","−5x − 3 = −3","−13x = −8x + 0","0x + 3 = 5x + 3","0x − 3 = 5x − 3","x/(−5) = 0","−8x/(−5) = 0","−8x/(−5) + 3 = 3",-8,-9,-8,8,6,-9,-4,5]
["24.","5x/(−9) + 7 = −43",null,null,null,null,"29.","7x/(−9) + 3 = −11",null,null,null,null,null,null,null,13,-10,-9,5,7,9,10,9,null,13,-2,-9,7,3,8,2,2,null,11,1,10,-10,8,6,5,6,null,12,-9,-5,-4,8,3,7,3,null,90,18,null,null,null,{"$f":"RANDBETWEEN(1,$BC$16)","v":1},"x + 7 = − 3","x − 7 = − 17","−8x = −9x − 10","−8x + 7 = −9x − 3","−9x = 90","−9x + 7 = 97","−9x − 7 = 83","−4x = 5x + 90","−4x + 7 = 5x + 97","−4x − 7 = 5x + 83","x/(−9) = −10","5x/(−9) = −50","5x/(−9) + 7 = −43",10,-10,10,3,7,-10,-2,6,null,null,{"$f":"RANDBETWEEN(1,$BC$16)","v":2},"x + 3 = 1","x − 3 = − 5","−8x = −9x − 2","−8x + 3 = −9x + 1","−9x = 18","−9x + 3 = 21","−9x − 3 = 15","−2x = 7x + 18","−4x + 3 = 5x + 21","−4x − 3 = 5x + 15","x/(−9) = −2","7x/(−9) = −14","7x/(−9) + 3 = −11",-5,-4,-5,4,-8,-4,-2,3]
["25.","3x/(−6) = 9",null,null,null,null,"30.","2x/9 + 3 = −1",null,null,null,null,null,null,null,12,3,-6,3,9,8,8,9,null,13,-2,9,2,3,3,4,3,null,13,-2,1,1,5,2,10,5,null,11,-1,-10,7,3,5,3,5,null,-18,-18,null,null,null,{"$f":"RANDBETWEEN(1,$BC$16)","v":3},"x + 9 = 12","x − 9 = − 6","−5x = −6x + 3","−5x + 9 = −6x + 12","−6x = −18","−6x + 9 = −9","−6x − 9 = −27","−3x = 3x − 18","−3x + 9 = 3x − 9","−3x − 9 = 3x − 27","x/(−6) = 3","3x/(−6) = 9","3x/(−6) + 9 = 18",1,1,1,-6,2,1,-9,-5,null,null,{"$f":"RANDBETWEEN(1,$BC$16)","v":1},"x + 3 = 1","x − 3 = − 5","10x = 9x − 2","10x + 3 = 9x + 1","9x = −18","9x + 3 = −15","9x − 3 = −21","11x = 2x − 18","12x + 3 = 3x − 15","12x − 3 = 3x − 21","x/9 = −2","2x/9 = −4","2x/9 + 3 = −1",-10,7,-10,1,8,0,7,-4]
["31.","4x = 36",null,null,null,null,"36.","10x + 6 = −34",null,null,null,null,"sivu4",null,null,5,9,4,-5,8,7,7,8,null,6,-4,10,5,6,3,1,8,null,{"$f":"INDEX($BE$4:$BE$16,INDEX($BI$4:$BI$16,BE35,))","v":9},{"$f":"RANDBETWEEN($E$6,$G$6)","v":2},-2,-1,{"$f":"RANDBETWEEN($E$10,$G$10)","v":6},{"$f":"RANDBETWEEN($E$10,$G$10)","v":2},10,8,null,{"$f":"INDEX($BE$4:$BE$16,INDEX($BI$4:$BI$16,CC35,))","v":1},{"$f":"RANDBETWEEN($E$6,$G$6)","v":-8},2,-6,{"$f":"RANDBETWEEN($E$10,$G$10)","v":2},{"$f":"RANDBETWEEN($E$10,$G$10)","v":4},2,10,null,9,-4,null,null,null,{"$f":"RANDBETWEEN(1,$BD$16)","v":9},"x + 8 = 17","x − 8 = 1","5x = 4x + 9","5x + 8 = 4x + 17","4x = 36","4x + 8 = 44","4x − 8 = 28","−x = −5x + 36","−x + 8 = −5x + 44","−x − 8 = −5x + 28","x/4 = 9","−5x/4 = −45","−5x/4 + 8 = −37",-2,-1,{"$f":"RANDBETWEEN($E$14,$G$14)","v":-2},5,4,-1,-8,-10,null,null,{"$f":"RANDBETWEEN(1,$BD$16)","v":1},"x + 6 = 2","x − 6 = − 10","11x = 10x − 4","11x + 6 = 10x + 2","10x = −40","10x + 6 = −34","10x − 6 = −46","15x = 5x − 40","5x + 6 = −5x − 34","5x − 6 = −5x − 46","x/10 = −4","5x/10 = −20","5x/10 + 6 = −14",2,-6,{"$f":"RANDBETWEEN($E$14,$G$14)","v":2},8,-7,-6,-8,6]
["32.","0x − 8 = 6x + 4",null,null,null,null,"37.","10x + 6 = 6x + 30",null,null,null,null,null,null,null,10,-2,-6,6,8,10,7,7,null,9,6,4,2,6,10,5,1,null,{"$f":"INDEX($BE$4:$BE$16,INDEX($BI$4:$BI$16,BE36,))","v":8},{"$f":"RANDBETWEEN($E$6,$G$6)","v":0},-7,5,{"$f":"RANDBETWEEN($E$10,$G$10)","v":10},4,6,8,null,{"$f":"INDEX($BE$4:$BE$16,INDEX($BI$4:$BI$16,CC36,))","v":11},{"$f":"RANDBETWEEN($E$6,$G$6)","v":1},-9,10,{"$f":"RANDBETWEEN($E$10,$G$10)","v":5},5,4,4,null,-2,6,null,null,null,{"$f":"RANDBETWEEN(1,$BD$16)","v":8},"x + 8 = 6","x − 8 = − 10","−5x = −6x − 2","−5x + 8 = −6x + 6","−6x = 12","−6x + 8 = 20","−6x − 8 = 4","0x = 6x + 12","0x + 8 = 6x + 20","0x − 8 = 6x + 4","x/(−6) = −2","6x/(−6) = −12","6x/(−6) + 8 = −4",-7,5,{"$f":"RANDBETWEEN($E$14,$G$14)","v":0},-7,10,5,-7,10,null,null,{"$f":"RANDBETWEEN(1,$BD$16)","v":11},"x + 6 = 12","x − 6 = 0","5x = 4x + 6","5x + 6 = 4x + 12","4x = 24","4x + 6 = 30","4x − 6 = 18","6x = 2x + 24","10x + 6 = 6x + 30","10x − 6 = 6x + 18","x/4 = 6","2x/4 = 12","2x/4 + 6 = 18",-9,10,-9,4,5,10,-5,-7]
["33.","−7x − 6 = 1",null,null,null,null,"38.","−3x/(−7) = 24",null,null,null,null,null,null,null,7,-1,-7,6,6,4,8,3,null,12,-8,-7,-3,4,1,1,6,null,10,3,-9,5,6,5,8,4,null,4,-3,-8,-7,9,7,2,7,null,-1,56,null,null,null,{"$f":"RANDBETWEEN(1,$BD$16)","v":10},"x + 6 = 5","x − 6 = − 7","−6x = −7x − 1","−6x + 6 = −7x + 5","−7x = 7","−7x + 6 = 13","−7x − 6 = 1","−x = 6x + 7","−x + 6 = 6x + 13","−x − 6 = 6x + 1","x/(−7) = −1","6x/(−7) = −6","6x/(−7) + 6 = 0",-9,5,-9,-4,-3,5,-8,9,null,null,{"$f":"RANDBETWEEN(1,$BD$16)","v":4},"x + 4 = − 4","x − 4 = − 12","−6x = −7x − 8","−6x + 4 = −7x − 4","−7x = 56","−7x + 4 = 60","−7x − 4 = 52","−10x = −3x + 56","−x + 4 = 6x + 60","−x − 4 = 6x + 52","x/(−7) = −8","−3x/(−7) = 24","−3x/(−7) + 4 = 28",-8,-7,-8,9,10,-7,-3,0]
["34.","4 = −x + 5",null,null,null,null,"39.","x = −5x − 42",null,null,null,null,null,null,null,4,1,-1,-8,4,1,7,6,null,8,-7,6,-5,10,10,1,1,null,4,10,-6,6,9,2,4,5,null,7,-2,3,5,7,6,8,4,null,1,-7,null,null,null,{"$f":"RANDBETWEEN(1,$BD$16)","v":4},"x + 4 = 5","x − 4 = − 3","0 = −x + 1","4 = −x + 5","−1x = −1","−x + 4 = 3","−x − 4 = −5","−9x = −8x − 1","−9x + 4 = −8x + 3","−9x − 4 = −8x − 5","x/(−1) = 1","−8x/(−1) = −8","−8x/(−1) + 4 = −4",-6,6,-6,-2,9,6,-6,4,null,null,{"$f":"RANDBETWEEN(1,$BD$16)","v":7},"x + 10 = 3","x − 10 = − 17","7x = 6x − 7","7x + 10 = 6x + 3","6x = −42","6x + 10 = −32","6x − 10 = −52","x = −5x − 42","−2x + 10 = −8x − 32","−2x − 10 = −8x − 52","x/6 = −7","−5x/6 = 35","−5x/6 + 10 = 45",3,5,3,8,7,5,4,3]
["35.","x + 1 = 9",null,null,null,null,"40.","x + 1 = − 2",null,null,null,null,null,null,null,1,8,10,1,1,5,4,8,null,1,-3,-9,-4,1,9,4,9,null,7,9,10,10,1,6,4,10,null,11,4,-1,8,5,1,6,5,null,8,-3,null,null,null,{"$f":"RANDBETWEEN(1,$BD$16)","v":7},"x + 1 = 9","x − 1 = 7","11x = 10x + 8","11x + 1 = 10x + 9","10x = 80","10x + 1 = 81","10x − 1 = 79","11x = x + 80","11x + 1 = x + 81","11x − 1 = x + 79","x/10 = 8","1x/10 = 8","1x/10 + 1 = 9",10,10,10,-9,-2,10,-1,-5,null,null,{"$f":"RANDBETWEEN(1,$BD$16)","v":11},"x + 1 = − 2","x − 1 = − 4","−8x = −9x − 3","−8x + 1 = −9x − 2","−9x = 27","−9x + 1 = 28","−9x − 1 = 26","−13x = −4x + 27","−8x + 1 = x + 28","−8x − 1 = x + 26","x/(−9) = −3","−4x/(−9) = 12","−4x/(−9) + 1 = 13",-1,8,-1,-1,10,8,6,8]
["Vastaukset:"]
["1.",{"$f":"AZ20","v":-10},"8.",{"$f":"BA22","v":-9},"15.",{"$f":"AZ29","v":5},"22.",{"$f":"AZ31","v":-12},"29.",{"$f":"BA33","v":18},"36.",{"$f":"BA35","v":-4}]
["2.",{"$f":"AZ21","v":-3},"9.",{"$f":"BA23","v":10},"16.",{"$f":"BA25","v":-8},"23.",{"$f":"AZ32","v":-12},"30.",{"$f":"BA34","v":-18},"37.",{"$f":"BA36","v":6}]
["3.",{"$f":"AZ22","v":8},"10.",{"$f":"BA24","v":5},"17.",{"$f":"BA26","v":9},"24.",{"$f":"AZ33","v":90},"31.",{"$f":"AZ35","v":9},"38.",{"$f":"BA37","v":56}]
["4.",{"$f":"AZ23","v":-10},"11.",{"$f":"AZ25","v":4},"18.",{"$f":"BA27","v":8},"25.",{"$f":"AZ34","v":-18},"32.",{"$f":"AZ36","v":-2},"39.",{"$f":"BA38","v":-7}]
["5.",{"$f":"AZ24","v":1},"12.",{"$f":"AZ26","v":-3},"19.",{"$f":"BA28","v":-3},"26.",{"$f":"BA30","v":20},"33.",{"$f":"AZ37","v":-1},"40.",{"$f":"BA39","v":-3}]
["6.",{"$f":"BA20","v":-3},"13.",{"$f":"AZ27","v":-7},"20.",{"$f":"BA29","v":-7},"27.",{"$f":"BA31","v":-24},"34.",{"$f":"AZ38","v":1}]
["7.",{"$f":"BA21","v":9},"14.",{"$f":"AZ28","v":10},"21.",{"$f":"AZ30","v":-50},"28.",{"$f":"BA32","v":0},"35.",{"$f":"AZ39","v":8}]
["Tulostuva alue loppuu"]
["Tämän sovelman käyttöoikeudet:\nTekijänoikeudet tähän sovellukseen/tiedostoon omistaa Janne Koponen.\nTämä sovellus on ladattavissa osoitteesta https://peda.net/p/joykop/mm\nKysymyksiä ja palautetta voi laittaa Janne Koposelle (janne.koponen@tampere.fi)"]
["Mitä saat luvallani tehdä:\n- Saat käyttää sovellusta omassa opetuksessasi ilman erillistä korvausta.\n- Saat antaa tämän sovelluksen vastikkeetta toiselle opettajalle, jonka tunnet. (Jos kollegasi tarjoaa sinulle tästä hyvästä kahvit, on se kuitenkin ok.) Tämä jako-oikeus ei tarkoita kuitenkaan massajakamisia, heitä varten on seuraava kohta.\n- Saat kertoa, mistä tämän latasit, jotta muutkin tätä tarvitsevat tämän löytävät."]
["Mitä et saa tehdä:\n- Ilman erillistä lupaa et saa liittää tätä sovellusta osaksi maksullista tai ilmaista oppimateriaalipakettia.\n- Ilman erillistä lupaa et saa laittaa tätä yleiseen jakoon."]
["Miksi tällaiset ehdot:\n- Tämän systeemin tekemiseen on käytetty jonkin verran aikaa ja suklaata.\n- Käytetty aika on omalla osallani säästynyt jo sillä, ettei minun ole enää tarvinnut yhtä paljon tehdä käsin monisteita tai muokata niitä tarpeen mukaan.\n- Suklaata en tarvitse lisää, mutta haluan pitää itselläni oikeuden vaatia rahallista korvausta, jos joku oppimateriaalivalmistaja haluaa lisätä tämän sovelluksen jakamaansa oppimateriaaliin.\n- Ajansäästön lisäksi uskon myös opetukseni parantuneen, kun olen voinut tarjota oppilailleni juuri heidän taitotasolleen sopivia tehtäviä. Ja toivon muidenkin saavan saman hyödyn."]