2.2E: Mazoezi
- Page ID
- 177614
Mazoezi hufanya kamili
Kutatua Equations Kutumia Idara na Kuzidisha Mali ya Usawa
Katika mazoezi yafuatayo, tatua kila equation kwa kutumia Idara na Kuzidisha Mali ya Usawa na angalia suluhisho.
\(8x=56\)
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\(x=7\)
\(7 p=63\)
\(-5 c=55\)
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\(c=-11\)
\(-9 x=-27\)
\(-809=15 y\)
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\(y = -\frac{809}{15}\)
\(-731=19 y\)
\(-37 p=-541\)
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\(p=-\frac{541}{37}\)
\(-19 m=-586\)
\(0.25 z=3.25\)
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z= 13
\(0.75 a=11.25\)
\(-13x=0\)
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\(x=0\)
\(24x=0\)
\(\frac{x}{4} = 35\)
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\(x=140\)
\(\frac{z}{2}=54\)
\(-20=\frac{q}{-5}\)
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\(q=100\)
\(\frac{c}{-3}=-12\)
\(\frac{y}{9}=-16\)
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\(y=-144\)
\(\frac{q}{6}=-38\)
\(\frac{m}{-12}=45\)
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\(m=-540\)
\(-24=\frac{p}{-20}\)
\(-y=6\)
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\(y=-6\)
\(-u=15\)
\(-v=-72\)
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\(v=72\)
\(-x=-39\)
\(\frac{2}{3} y=48\)
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\(y=72\)
\(\frac{3}{5} r=75\)
\(-\frac{5}{8} w=40\)
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\(w=-64\)
\(24=-\frac{3}{4} x\)
\(-\frac{2}{5}=\frac{1}{10} a\)
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\(a=-4\)
\(-\frac{1}{3} q=-\frac{5}{6}\)
\(-\frac{7}{10} x=-\frac{14}{3}\)
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\(x=\frac{20}{3}\)
\(\frac{3}{8} y=-\frac{1}{4}\)
\(\frac{7}{12}=-\frac{3}{4} p\)
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\(p=-\frac{7}{9}\)
\(\frac{11}{18}=-\frac{5}{6} q\)
\(-\frac{5}{18}=-\frac{10}{9} u\)
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\(u=\frac{1}{4}\)
\(-\frac{7}{20}=-\frac{7}{4} v\)
Kutatua equations ambayo yanahitaji kurahisisha
Katika mazoezi yafuatayo, tatua kila equation inayohitaji kurahisisha.
\(100-16=4 p-10 p-p\)
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\(p=-12\)
\(-18-7=5 t-9 t-6 t\)
\(\frac{7}{8} n-\frac{3}{4} n=9+2\)
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\(n=88\)
\(\frac{5}{12} q+\frac{1}{2} q=25-3\)
\(0.25 d+0.10 d=6-0.75\)
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d=15
\(0.05 p-0.01 p=2+0.24\)
\(-10(q-4)-57=93\)
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\(q=-11\)
\(-12(d-5)-29=43\)
\(-10(x+4)-19=85\)
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\(x=-\frac{72}{5}\)
\(-15(z+9)-11=75\)
Mazoezi ya mchanganyiko
Katika mazoezi yafuatayo, tatua kila equation.
\(\frac{9}{10} x=90\)
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\(x=100\)
\(\frac{5}{12} y=60\)
\(y+46=55\)
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\(y=9\)
\(x+33=41\)
\(\frac{w}{-2}=99\)
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\(w=-198\)
\(\frac{s}{-3}=-60\)
\(27=6 a\)
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\(a=\frac{9}{2}\)
\(-a=7\)
\(-x=2\)
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\(x=-2\)
\(z-16=-59\)
\(m-41=-14\)
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\(m=27\)
\(0.04 r=52.60\)
\(63.90=0.03 p\)
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\(p=2130\)
\(-15 x=-120\)
\(84=-12 z\)
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\(y=-7\)
\(19.36=x-0.2 x\)
\(c-0.3 c=35.70\)
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\(c=51\)
\(-y=-9\)
\(-x=-8\)
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\(x=8\)
Tafsiri kwa Equation na Kutatua
Katika mazoezi yafuatayo, tafsiri kwa equation na kisha kutatua.
187 ni bidhaa ya\(-17\) na\(m\)
133 ni bidhaa ya\(-19\) na\(n\)
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\(133=-19 n ; n=-7\)
\(-184\)ni bidhaa ya 23 na\(p\)
\(-152\)ni bidhaa ya 8 na\(q\)
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\(-152=8 q ; q=-19\)
\(u\)kugawanywa na 7 ni sawa na\(-49\)
\(r\)kugawanywa na 12 ni sawa na\(-48\)
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\(\frac{r}{12}=-48 ; r=-576\)
\(h\)kugawanywa\(-13\) na ni sawa na\(-65\)
\(j\)kugawanywa\(-20\) na ni sawa na\(-80\)
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\(\frac{j}{-20}=-80 ; j=1,600\)
Quotient\(c\) na\(-19\) ni\(38 .\)
Quotient ya\(b\) na\(-6\) ni 18
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\(\frac{b}{-6}=18 ; b=-108\)
Quotient ya\(h\) na 26 ni\(-52\)
Quotient\(k\) na 22 ni\(-66\)
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\(\frac{k}{22}=-66 ; k=-1,452\)
Tano-sixths ya\(y\) ni 15
Tatu ya kumi ya\(x\) ni 15
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\(\frac{3}{10} x=15 ; x=50\)
Theluthi nne ya\(w\) ni 36
Nusu tano ya\(v\) ni 50
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\(\frac{5}{2} v=50 ; v=20\)
Jumla ya tisa ya kumi na\(g\) ni theluthi mbili.
Jumla ya mbili-tano na\(f\) ni nusu moja.
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\(\frac{2}{5}+f=\frac{1}{2} ; f=\frac{1}{10}\)
Tofauti ya\(p\) na moja ya sita ni theluthi mbili.
Tofauti ya\(q\) na moja ya nane ni tatu na nne.
- Jibu
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\(q-\frac{1}{8}=\frac{3}{4} ; q=\frac{7}{8}\)
Tafsiri na Kutatua Maombi
Katika mazoezi yafuatayo, tafsiri katika equation na kutatua.
Darasa la chekechea la Kindergarten Connie lina watoto 24 Anataka waingie katika makundi 4 sawa. Je, ataweka watoto wangapi katika kila kikundi?
Balloons Ramona alinunua balloons 18 kwa chama. Anataka kufanya makundi 3 sawa. Alitumia balloons ngapi katika kila kundi?
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6 balloons
Tickets Mollie kulipwa $36.25 kwa 5 tiketi movie. Bei ya kila tiketi ilikuwa nini?
Ununuzi wa Serena ulilipa $12.96 kwa pakiti ya jozi 12 za soksi za michezo. Je! Bei ya jozi ya soksi za michezo ilikuwa nini?
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$1.08
Kushona Nancy alitumia yadi 14 za kitambaa kutengeneza bendera kwa theluthi moja ya timu ya kuchimba. Kiasi gani kitambaa, bila Nancy haja ya kufanya bendera kwa timu nzima?
MPG John SUV anapata 18 maili kwa kila lita (mpg). Hii ni nusu kama mpg wengi kama gari mke wake mseto. Je, gari la mseto linapata maili ngapi kwa kila lita?
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36 mpg
Urefu Aiden ni 27 inches mrefu. Yeye ni mrefu\(\frac{3}{8}\) kama baba yake. Baba yake ni mrefu gani?
Mali isiyohamishika Bea chuma\(\$ 11,700\) tume kwa ajili ya kuuza nyumba, mahesabu kama\(\frac{6}{100}\) ya bei ya kuuza. Nini ilikuwa
bei ya kuuza ya nyumba?
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$195,000
kila siku Math
Tume Kila wiki Perry analipwa\(\$150\) pamoja 12% ya jumla ya mauzo yake kiasi. Kutatua equation
\(840=150+0.12(a-1250)\)\(a\) kwa kupata jumla ya kiasi Perry lazima kuuza ili kulipwa wiki\(\$ 840\) moja.
Mihuri Travis kununuliwa $9.45 yenye thamani ya mihuri 49-asilimia na mihuri 21-asilimia. Idadi ya mihuri ya asilimia 21 ilikuwa 5 chini ya idadi ya mihuri 49-cent. Tatua equation 0.49+0.21 (s-5) =9.45 kwa s, ili kupata idadi ya mihuri 49-cent Travis kununuliwa.
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15 mihuri 49-cent
Mazoezi ya kuandika
Frida alianza kutatua equation -3x=36 kwa kuongeza 3 kwa pande zote mbili. Eleza kwa nini njia ya Frida haiwezi kutatua equation.
Emiliano anadhani\(x=40\) ni ufumbuzi wa equation\(\frac{1}{2} x=80 .\) Eleza kwa nini yeye ni makosa.
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Majibu yatatofautiana.
Self Check
ⓐ Baada ya kukamilisha mazoezi, tumia orodha hii ili kutathmini ujuzi wako wa malengo ya sehemu hii.
ⓑ Orodha hii inakuambia nini kuhusu ujuzi wako wa sehemu hii? Ni hatua gani utachukua ili kuboresha?