1.3E: Mazoezi
- Page ID
- 177978
Mazoezi hufanya kamili
Tumia Vigezo na Algebraic Algebraic
Katika mazoezi yafuatayo, tafsiri kutoka algebra hadi Kiingereza.
\(16−9\)
- Jibu
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\(16\)minus\(9\), tofauti ya kumi na sita na tisa
\(3\cdot 9\)
\(28\div 4\)
- Jibu
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\(28\)kugawanywa na\(4\), quotient ya ishirini na nane na nne
\(x+11\)
\((2)(7)\)
- Jibu
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\(2\)mara\(7\), bidhaa ya mbili na saba
\((4)(8)\)
\(14<21\)
- Jibu
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kumi na nne ni chini ya ishirini na moja
\(17<35\)
\(36\geq 19\)
- Jibu
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thelathini na sita ni kubwa kuliko au sawa na kumi na tisa
\(6n=36\)
\(y−1>6\)
- Jibu
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\(y\)minus\(1\) ni kubwa kuliko\(6\), tofauti ya\(y\) na moja ni kubwa kuliko sita
\(y−4>8\)
\(2\leq 18\div 6\)
- Jibu
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\(2\)ni chini ya au sawa na\(18\) kugawanywa na\(6\);\(2\) ni chini ya au sawa na quotient ya kumi na nane na sita
\(a\neq 1\cdot12\)
Katika mazoezi yafuatayo, onyesha kama kila mmoja ni kujieleza au equation.
\(9\cdot 6=54\)
- Jibu
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mlinganyo
\(7\cdot 9=63\)
\(5\cdot 4+3\)
- Jibu
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kujieleza
\(x+7\)
\(x + 9\)
- Jibu
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kujieleza
\(y−5=25\)
Kurahisisha Maneno Kutumia Utaratibu wa Uendeshaji
Katika mazoezi yafuatayo, kurahisisha kila kujieleza.
\(5^{3}\)
- Jibu
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\(125\)
\(8^{3}\)
\(2^{8}\)
- Jibu
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\(256\)
\(10^{5}\)
Katika mazoezi yafuatayo, kurahisisha kutumia utaratibu wa shughuli.
- \(3+8\cdot 5\)
- \((3+8)\cdot 5\)
- Jibu
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- \(43\)
- \(55\)
- \(2+6\cdot 3\)
- \((2+6)\cdot 3\)
\(2^{3}−12\div (9−5)\)
- Jibu
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\(5\)
\(3^{2}−18\div(11−5)\)
\(3\cdot 8+5\cdot 2\)
- Jibu
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\(34\)
\(4\cdot 7+3\cdot 5\)
\(2+8(6+1)\)
- Jibu
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\(58\)
\(4+6(3+6)\)
\(4\cdot 12/8\)
- Jibu
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\(6\)
\(2\cdot 36/6\)
\((6+10)\div(2+2)\)
- Jibu
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\(4\)
\((9+12)\div(3+4)\)
\(20\div4+6\cdot5\)
- Jibu
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\(35\)
\(33\div3+8\cdot2\)
\(3^{2}+7^{2}\)
- Jibu
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\(58\)
\((3+7)^{2}\)
\(3(1+9\cdot6)−4^{2}\)
- Jibu
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\(149\)
\(5(2+8\cdot4)−7^{2}\)
\(2[1+3(10−2)]\)
- Jibu
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\(50\)
\(5[2+4(3−2)]\)
Tathmini ya Kuelezea
Katika mazoezi yafuatayo, tathmini maneno yafuatayo.
\(7x+8\)lini\(x=2\)
- Jibu
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\(22\)
\(8x−6\)lini\(x=7\)
\(x^{2}\)lini\(x = 12\)
- Jibu
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\(144\)
\(x^{3}\)lini\(x = 5\)
\(x^{5}\)lini\(x = 2\)
- Jibu
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\(32\)
\(4^{x}\)lini\(x = 2\)
\(x^{2}+3x−7\)lini\(x = 4\)
- Jibu
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\(21\)
\(6x + 3y - 9\)lini\(x = 10, y = 7\)
- Jibu
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\(9\)
\((x + y)^{2}\)lini\(x = 6, y = 9\)
\(a^{2} + b^{2}\)lini\(a = 3, b = 8\)
- Jibu
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\(73\)
\(r^{2} - s^{2}\)lini\(r = 12, s = 5\)
\(2l + 2w\)lini\(l = 15, w = 12\)
- Jibu
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\(54\)
\(2l + 2w\)lini\(l = 18, w = 14\)
Kurahisisha Maneno kwa Kuchanganya Kama Masharti
Katika mazoezi yafuatayo, tambua mgawo wa kila neno.
\(8a\)
- Jibu
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\(8\)
\(13m\)
\(5r^{2}\)
- Jibu
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\(5\)
\(6x^{3}\)
Katika mazoezi yafuatayo, tambua maneno kama hayo.
\(x^{3}, 8x, 14, 8y, 5, 8x^{3}\)
- Jibu
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\(x^{3}\)na\(8x^{3}\),\(14\) na\(5\)
\(6z, 3w^{2}, 1, 6z^{2}, 4z, w^{2}\)
\(9a, a^{2}, 16, 16b^{2}, 4, 9b^{2}\)
- Jibu
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\(16\)na\(4\),\(16b^{2}\) na\(9b^{2}\)
\(3, 25r^{2}, 10s, 10r, 4r^{2}, 3s\)
Katika mazoezi yafuatayo, tambua maneno katika kila kujieleza.
\(15x^{2} + 6x + 2\)
- Jibu
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\(15x^{2}, 6x, 2\)
\(11x^{2} + 8x + 5\)
\(10y^{3} + y + 2\)
- Jibu
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\(10y^{3}, y, 2\)
\(9y^{3} + y + 5\)
Katika mazoezi yafuatayo, kurahisisha maneno yafuatayo kwa kuchanganya maneno kama hayo.
\(10x+3x\)
- Jibu
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\(13x\)
\(15x+4x\)
\(4c + 2c + c\)
- Jibu
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\(7c\)
\(6y + 4y + y\)
\(7u + 2 + 3u + 1\)
- Jibu
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\(10u + 3\)
\(8d + 6 + 2d + 5\)
\(10a + 7 + 5a - 2 + 7a - 4\)
- Jibu
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\(22a + 1\)
\(7c + 4 + 6c - 3 + 9c - 1\)
\(3x^{2} + 12x + 11 + 14x^{2} + 8x + 5\)
- Jibu
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\(17x^{2} + 20x + 16\)
\(5b^{2} + 9b + 10 + 2b^{2} + 3b - 4\)
Tafsiri Maneno ya Kiingereza kwa kujieleza kwa Kialgebraic
Katika mazoezi yafuatayo, tafsiri maneno katika maneno ya algebraic.
tofauti ya\(14\) na\(9\)
- Jibu
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\(14−9\)
tofauti ya\(19\) na\(8\)
bidhaa ya\(9\) na\(7\)
- Jibu
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\(9\cdot 7\)
bidhaa ya\(8\) na\(7\)
quotient ya\(36\) na\(9\)
- Jibu
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\(36\div 9\)
quotient ya\(42\) na\(7\)
jumla ya\(8x\) na\(3x\)
- Jibu
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\(8x+3x\)
jumla ya\(13x\) na\(3x\)
quotient ya\(y\) na\(3\)
- Jibu
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\(\frac{y}{3}\)
quotient ya\(y\) na\(8\)
mara nane tofauti ya\(y\) na tisa
- Jibu
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\(8(y−9)\)
mara saba tofauti ya\(y\) na moja
Eric ina mwamba na classical CD katika gari lake. Idadi ya CD za mwamba ni\(3\) zaidi ya idadi ya CD za classical. Hebu\(c\) kuwakilisha idadi ya CD za classical. Andika maneno kwa idadi ya CD za mwamba.
- Jibu
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\(c+3\)
Idadi ya wasichana katika darasa la pili ni\(4\) chini ya idadi ya wavulana. Hebu\(b\) kuwakilisha idadi ya wavulana. Andika maneno kwa idadi ya wasichana.
Greg ina nickels na pennies katika mfuko wake. Idadi ya pennies ni saba chini ya mara mbili idadi ya nickels. Hebu\(n\) kuwakilisha idadi ya nickels. Andika maneno kwa idadi ya pennies.
- Jibu
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\(2n - 7\)
Jeannette ina $5 na $10 bili katika mkoba wake. Idadi ya fives ni tatu zaidi ya mara sita idadi ya makumi. Hebu\(t\) kuwakilisha idadi ya makumi. Andika maneno kwa idadi ya fives.
kila siku Math
Bima ya gari Justin ya bima ya gari ina $750 GNU kwa tukio. Hii ina maana kwamba analipa $750 na kampuni yake ya bima italipa gharama zote zaidi ya $750. Kama Justin files madai ya $2,100.
- atalipa kiasi gani?
- ni kiasi gani kampuni yake ya bima kulipa?
- Jibu
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- $750
- $1,350
Home bima Armando ya nyumbani bima ina $2,500 GNU kwa tukio. Hii ina maana kwamba analipa $2,500 na kampuni ya bima italipa gharama zote zaidi ya $2,500. Kama Armando files madai ya $19,400.
- atalipa kiasi gani?
- Kampuni ya bima italipa kiasi gani?
Mazoezi ya kuandika
Eleza tofauti kati ya kujieleza na equation.
- Jibu
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Majibu inaweza kutofautiana
Kwa nini ni muhimu kutumia utaratibu wa shughuli ili kurahisisha kujieleza?
Eleza jinsi unavyotambua maneno kama hayo katika maneno\(8a^{2} + 4a + 9 - a^{2} - 1\)
- Jibu
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Majibu inaweza kutofautiana
Eleza tofauti kati ya maneno “\(4\)mara jumla ya\(x\) na\(y\)” na “jumla ya\(4\) nyakati\(x\) na\(y\).”
Self Check
ⓐ Tumia orodha hii ili kutathmini ujuzi wako wa malengo ya sehemu hii.
ⓑ Baada ya kuchunguza orodha hii, utafanya nini ili uwe na ujasiri kwa malengo yote?