2.4E: Mazoezi
- Page ID
- 177569
Mazoezi hufanya kamili
Kutatua Equations Kutumia Mkakati Mkuu wa Kutatua Equations Linear
Katika mazoezi yafuatayo, tatua kila equation linear.
\(15(y-9)=-60\)
\(21(y-5)=-42\)
- Jibu
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\(y=3\)
\(-9(2 n+1)=36\)
\(-16(3 n+4)=32\)
- Jibu
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\(n=-2\)
\(8(22+11 r)=0\)
\(5(8+6 p)=0\)
- Jibu
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\(p=-\frac{4}{3}\)
\(-(w-12)=30\)
\(-(t-19)=28\)
- Jibu
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\(t=-9\)
\(9(6 a+8)+9=81\)
\(8(9 b-4)-12=100\)
- Jibu
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\(b=2\)
\(32+3(z+4)=41\)
\(21+2(m-4)=25\)
- Jibu
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\(m=6\)
\(51+5(4-q)=56\)
\(-6+6(5-k)=15\)
- Jibu
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\(k=\frac{3}{2}\)
\(2(9 s-6)-62=16\)
\(8(6 t-5)-35=-27\)
- Jibu
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\(t=1\)
\(3(10-2 x)+54=0\)
\(-2(11-7 x)+54=4\)
- Jibu
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\(x=-2\)
\(\frac{2}{3}(9 c-3)=22\)
\(\frac{3}{5}(10 x-5)=27\)
- Jibu
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\(x=5\)
\(\frac{1}{5}(15 c+10)=c+7\)
\(\frac{1}{4}(20 d+12)=d+7\)
- Jibu
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\(d=1\)
\(18-(9 r+7)=-16\)
\(15-(3 r+8)=28\)
- Jibu
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\(r=-7\)
\(5-(n-1)=19\)
\(-3-(m-1)=13\)
- Jibu
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\(m=-15\)
\(11-4(y-8)=43\)
\(18-2(y-3)=32\)
- Jibu
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\(y=-4\)
\(24-8(3 v+6)=0\)
\(35-5(2 w+8)=-10\)
- Jibu
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\(w=\frac{1}{2}\)
\(4(a-12)=3(a+5)\)
\(-2(a-6)=4(a-3)\)
- Jibu
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\(a=4\)
\(2(5-u)=-3(2 u+6)\)
\(5(8-r)=-2(2 r-16)\)
- Jibu
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\(r=8\)
\(3(4 n-1)-2=8 n+3\)
\(9(2 m-3)-8=4 m+7\)
- Jibu
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\(m=3\)
\(12+2(5-3 y)=-9(y-1)-2\)
\(-15+4(2-5 y)=-7(y-4)+4\)
- Jibu
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\(y=-3\)
\(8(x-4)-7 x=14\)
\(5(x-4)-4 x=14\)
- Jibu
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\(x=34\)
\(5+6(3 s-5)=-3+2(8 s-1)\)
\(-12+8(x-5)=-4+3(5 x-2)\)
- Jibu
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\(x=-6\)
\(4(u-1)-8=6(3 u-2)-7\)
\(7(2 n-5)=8(4 n-1)-9\)
- Jibu
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\(n=-1\)
\(4(p-4)-(p+7)=5(p-3)\)
\(3(a-2)-(a+6)=4(a-1)\)
- Jibu
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\(a=-4\)
\(\begin{array}{l}{-(9 y+5)-(3 y-7)} \\ {=16-(4 y-2)}\end{array}\)
\(\begin{array}{l}{-(7 m+4)-(2 m-5)} \\ {=14-(5 m-3)}\end{array}\)
- Jibu
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\(m=-4\)
\(\begin{array}{l}{4[5-8(4 c-3)]} \\ {=12(1-13 c)-8}\end{array}\)
\(\begin{array}{l}{5[9-2(6 d-1)]} \\ {=11(4-10 d)-139}\end{array}\)
- Jibu
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\(d=-3\)
\(\begin{array}{l}{3[-9+8(4 h-3)]} \\ {=2(5-12 h)-19}\end{array}\)
\(\begin{array}{l}{3[-14+2(15 k-6)]} \\ {=8(3-5 k)-24}\end{array}\)
- Jibu
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\(k=\frac{3}{5}\)
\(\begin{array}{l}{5[2(m+4)+8(m-7)]} \\ {=2[3(5+m)-(21-3 m)]}\end{array}\)
\(\begin{array}{l}{10[5(n+1)+4(n-1)]} \\ {=11[7(5+n)-(25-3 n)]}\end{array}\)
- Jibu
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\(n=-5\)
\(5(1.2 u-4.8)=-12\)
\(4(2.5 v-0.6)=7.6\)
- Jibu
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\(v=1\)
\(0.25(q-6)=0.1(q+18)\)
\(0.2(p-6)=0.4(p+14)\)
- Jibu
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\(p=-34\)
\(0.2(30 n+50)=28\)
\(0.5(16 m+34)=-15\)
- Jibu
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\(m=-4\)
Kuainisha milinganyo
Katika mazoezi yafuatayo, ainisha kila equation kama equation masharti, utambulisho, au utata na kisha hali ya ufumbuzi.
\(23 z+19=3(5 z-9)+8 z+46\)
\(15 y+32=2(10 y-7)-5 y+46\)
- Jibu
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utambulisho; namba zote halisi
\(5(b-9)+4(3 b+9)=6(4 b-5)-7 b+21\)
\(9(a-4)+3(2 a+5)=7(3 a-4)-6 a+7\)
- Jibu
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utambulisho; namba zote halisi
\(18(5 j-1)+29=47\)
\(24(3 d-4)+100=52\)
- Jibu
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equation ya masharti;\(d=\frac{2}{3}\)
\(22(3 m-4)=8(2 m+9)\)
\(30(2 n-1)=5(10 n+8)\)
- Jibu
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equation ya masharti;\(n=7\)
\(7 v+42=11(3 v+8)-2(13 v-1)\)
\(18 u-51=9(4 u+5)-6(3 u-10)\)
- Jibu
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utata; hakuna suluhisho
\(3(6 q-9)+7(q+4)=5(6 q+8)-5(q+1)\)
\(5(p+4)+8(2 p-1)=9(3 p-5)-6(p-2)\)
- Jibu
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utata; hakuna suluhisho
\(12(6 h-1)=8(8 h+5)-4\)
\(9(4 k-7)=11(3 k+1)+4\)
- Jibu
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equation ya masharti;\(k=26\)
\(45(3 y-2)=9(15 y-6)\)
\(60(2 x-1)=15(8 x+5)\)
- Jibu
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utata; hakuna suluhisho
\(16(6 n+15)=48(2 n+5)\)
\(36(4 m+5)=12(12 m+15)\)
- Jibu
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utambulisho; namba zote halisi
\(9(14 d+9)+4 d=13(10 d+6)+3\)
\(11(8 c+5)-8 c=2(40 c+25)+5\)
- Jibu
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utambulisho; namba zote halisi
kila siku Math
Uzio Micah una futi 44 za uzio wa kufanya mbwa kukimbia katika yadi yake. Anataka urefu uwe na futi 2.5 zaidi ya upana. Pata urefu, L, kwa kutatua equation 2L+2 (L-2.5) =44.
Sarafu Rhonda ina\(\$ 1.90\) katika nickels na dimes. Idadi ya dimes ni moja chini ya mara mbili idadi ya nickels. Kupata
idadi ya nickels,\(n,\) kwa kutatua equation\(0.05 n+0.10(2 n-1)=1.90 .\)
- Jibu
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8 nickels
Mazoezi ya kuandika
Kutumia maneno yako mwenyewe, weka hatua katika mkakati wa jumla wa kutatua equations linear.
Eleza kwa nini unapaswa kurahisisha pande zote mbili za equation iwezekanavyo kabla ya kukusanya maneno ya kutofautiana kwa upande mmoja na masharti ya mara kwa mara kwa upande mwingine.
- Jibu
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Majibu yatatofautiana.
Ni hatua gani ya kwanza ya kuchukua wakati wa kutatua equation\(3-7(y-4)=38 ?\) Kwa nini hii ni hatua yako ya kwanza?
Tatua equation\(\frac{1}{4}(8 x+20)=3 x-4\) kuelezea hatua zote za ufumbuzi wako kama katika mifano katika sehemu hii.
- Jibu
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Majibu yatatofautiana.
Self Check
ⓐ Baada ya kukamilisha mazoezi, tumia orodha hii ili kutathmini ujuzi wako wa lengo la sehemu hii.
ⓑ Kwa kiwango cha 1-10, ungewezaje kupima ujuzi wako wa sehemu hii kwa kuzingatia majibu yako kwenye orodha? Unawezaje kuboresha hii?
faharasa
- equation ya masharti
- Equation ambayo ni kweli kwa maadili moja au zaidi ya kutofautiana na uongo kwa maadili mengine yote ya kutofautiana ni equation masharti.
- utata
- Equation ambayo ni ya uongo kwa maadili yote ya variable inaitwa utata. Utata hauna suluhisho.
- utambulisho
- Equation kwamba ni kweli kwa thamani yoyote ya variable inaitwa utambulisho. Suluhisho la utambulisho ni namba zote halisi.