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  • Terme - vermischte Übungen - PDF
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  • 29.10.2022
  • Mathematik
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Name:
Terme - vermischte Übungen - PDF
06.10.2022
1
Klammere einen größtmöglichen Faktor aus.
  • −14x−168=−14(x+12)\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} -14 x -168=\cloze{-14(x+12)}
  • 2x+26=2(x+13)\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 2 x+26=\cloze{2(x+13)}
  • −4x−40=−4(x+10)\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} -4 x -40=\cloze{-4(x+10)}
  • 5x+15=5(x+3)\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 5 x+15=\cloze{5(x+3)}
  • −7x+84=−7(x−12)\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} -7 x +84=\cloze{-7(x -12)}
  • 13x−156=13(x−12)\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 13 x -156=\cloze{13(x -12)}
  • 13x+13=13(x+1)\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 13 x+13=\cloze{13(x+1)}
  • −4x−20=−4(x+5)\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} -4 x -20=\cloze{-4(x+5)}
2
Multipliziere den Term aus.
  • 4(x−10)=4x−40\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 4(x -10)=\cloze{4 x -40}
  • 5(x−5)=5x−25\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 5(x -5)=\cloze{5 x -25}
  • −3(x−14)=−3x+42\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} -3(x -14)=\cloze{-3 x +42}
  • 15(x+7)=15x+105\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 15(x+7)=\cloze{15 x+105}
  • −10(x+8)=−10x−80\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} -10(x+8)=\cloze{-10 x -80}
  • 11(x−9)=11x−99\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 11(x -9)=\cloze{11 x -99}
  • −10(x+5)=−10x−50\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} -10(x+5)=\cloze{-10 x -50}
  • −6(x+7)=−6x−42\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} -6(x+7)=\cloze{-6 x -42}
Mathematik
Seite 1/4
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Name:
Terme - vermischte Übungen - PDF
06.10.2022
3
Vereinfache den Term.
  • −15x+3y+5x+1y=−10x+4y\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} -15 x+ 3 y+5 x+1 y =\cloze{-10 x+4 y}
  • −6x+8y−11x+10y=−17x+18y\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} -6 x+ 8 y -11 x+10 y =\cloze{-17 x+18 y}
  • 9+14y+12+4y=21+18y\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 9 + 14 y+12 +4 y =\cloze{21 +18 y}
  • −2x−14+10x−3=8x−17\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} -2 x -14 +10 x -3 =\cloze{8 x -17}
  • −7x+5y−5x+1y=−12x+6y\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} -7 x+ 5 y -5 x+1 y =\cloze{-12 x+6 y}
  • 14x−11+10x−10=24x−21\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 14 x -11 +10 x -10 =\cloze{24 x -21}
  • 9x−13+4x−2=13x−15\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 9 x -13 +4 x -2 =\cloze{13 x -15}
  • 14+9y+3+6y=17+15y\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 14 + 9 y+3 +6 y =\cloze{17 +15 y}
4
Multipliziere aus und fasse zusammen.
  • (x−10)⋅(x+4)=x2−6x−40\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x -10)·(x+4)=\cloze{x² -6 x-40}
  • (x−3)⋅(x+13)=x2+10x−39\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x -3)·(x+13)=\cloze{x²+10 x -39}
  • (x+10)⋅(x+4)=x2+14x+40\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x+10)·(x+4)=\cloze{x²+14 x+40}
  • (x−7)⋅(x+11)=x2+4x−77\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x -7)·(x+11)=\cloze{x²+4 x -77}
  • (x+3)⋅(x+10)=x2+13x+30\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x+3)·(x+10)=\cloze{x²+13 x+30}
  • (x−8)⋅(x−12)=x2−20x+96\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x -8)·(x -12)=\cloze{x² -20 x+96}
  • (x+13)⋅(x+11)=x2+24x+143\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x+13)·(x+11)=\cloze{x²+24 x+143}
  • (x−11)⋅(x+2)=x2−9x−22\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x -11)·(x+2)=\cloze{x² -9 x-22}
Mathematik
Seite 2/4
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Name:
Terme - vermischte Übungen - PDF
06.10.2022
5
Bestimme die Platzhalter.
  • (x+18)2=x2+36x+324\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x+18)²=\cloze{x²+36 x+324}
  • (x+3)2=x2+6x+9\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x+3)²=\cloze{x²+6 x+9}
  • (x+11)2=x2+22x+121\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x+11)²=\cloze{x²+22 x+121}
  • (x−13)2=x2−26x+169\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x-13)²=\cloze{x²-26 x+169}
  • (x−5)2=x2−10x+25\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x-5)²=\cloze{x²-10 x+25}
  • (x−2)2=x2−4x+4\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x-2)²=\cloze{x²-4 x+4}
  • (x+12)2=x2+24x+144\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x+12)²=\cloze{x²+24 x+144}
  • (x+16)2=x2+32x+256\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x+16)²=\cloze{x²+32 x+256}
6
Bestimme die Platzhalter.
  • (x+14)2=x2+28x+196\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x\cloze{+14})²=x²\cloze{+28} x+196
  • (x+10)2=x2+20x+100\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x\cloze{+10})²=x²\cloze{+20} x+100
  • (x−17)2=x2−34x+289\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x \cloze{-17})²=x²-34 x+\cloze{289}
  • (x−17)2=x2−34x+289\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x \cloze{-17})²=x²\cloze{-34} x+289
  • (x+20)2=x2+40x+400\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x\cloze{+20})²=x²+40 x+\cloze{400}
  • (x−12)2=x2−24x+144\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x \cloze{-12})²=x²-24 x+\cloze{144}
  • (x+19)2=x2+38x+361\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x\cloze{+19})²=x²+38 x+\cloze{361}
  • (x+18)2=x2+36x+324\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} (x+18)²=x²\cloze{+36} x+\cloze{324}
Mathematik
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Name:
Terme - vermischte Übungen - PDF
06.10.2022
7
Verwende die 1. und 2. Binomische Formel.
  • x2−18x+81=(x−9)2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} x²-18 x+{81}=\cloze{(x-9)²}
  • x2+16x+64=(x+8)2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} x²+16 x+64=\cloze{(x+8)²}
  • x2−34x+289=(x−17)2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} x²-34 x+{289}=\cloze{(x-17)²}
  • x2+18x+81=(x+9)2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} x²+18 x+81=\cloze{(x+9)²}
  • x2−24x+144=(x−12)2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} x²-24 x+144=\cloze{(x -12)²}
  • x2−30x+225=(x−15)2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} x²-30 x+225=\cloze{(x-15)²}
  • x2+8x+16=(x+4)2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} x²+8 x+16=\cloze{(x+4)²}
  • x2+30x+225=(x+15)2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} x²+30 x+225=\cloze{(x+15)²}
8
Verwende die 1. und 2. Binomische Formel.
  • 1,44=1,2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{1{,}44}=\cloze{1{,}2}
  • 0,01=0,1\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{0{,}01}=\cloze{0{,}1}
  • 4=2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{4}=\cloze{2}
  • 192=361\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 19²=\cloze{361}
  • 202=400\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 20²=\cloze{400}
  • 4,41=2,1\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{4{,}41}=\cloze{2{,}1}
  • 0,42=0,16\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 0{,}4²=\cloze{0{,}16}
  • 576=24\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{576}=\cloze{24}
  • 2,56=1,6\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{2{,}56}=\cloze{1{,}6}
  • 1,96=1,4\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{1{,}96}=\cloze{1{,}4}
  • 242=576\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 24²=\cloze{576}
  • 625=25\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{625}=\cloze{25}
  • 196=14\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{196}=\cloze{14}
  • 1,82=3,24\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 1{,}8²=\cloze{3{,}24}
  • 2,92=8,41\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 2{,}9²=\cloze{8{,}41}
  • 25=5\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{25}=\cloze{5}
  • 841=29\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{841}=\cloze{29}
  • 32=9\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 3²=\cloze{9}
  • 2,62=6,76\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 2{,}6²=\cloze{6{,}76}
  • 2,89=1,7\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \sqrt{2{,}89}=\cloze{1{,}7}
Mathematik
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