Algebra progression

Systems of linear equations
<br />The sum of the 5th element and the 12th element of an arithmetic progression is 142. The sum of the 9th element and the 16th element is 206. What is the value of the 28th term?<br /> <br />The 10th term of an arithmetic progression has the value 0. Which term of the AP is 4 times the 18th element?<br /> <br />Which term of the following two arithmetic progressions will have the same value? -4, 3, 10, 17... and 172, 171, 170, 169...<br /> <br />Find the number of terms in the arithmetic progression 6, -1, -8,..., -281.<br /> <br />If the 45th element of an arithmetic progression is -324 and the 30th element is -204, then what is the 7th element?<br /> <br />What is the difference between the 34th term and 15th term of the arithmetic progression 6, -8, -22, -36?<br /> <div class="container"> <div class="page"> <h1>Schriftlich subtrahieren</h1> <div class="exercise"> <p class="number">1. Subtrahiere schriftlich.</p> <div class="equation"> <div>a) <br> 615 - 463</div> <div>b) <br> 786 - 372</div> <div>c) <br> 985 - 647</div> <div>d) <br> 732 - 415</div> </div> </div> <div class="exercise"> <p class="number">2. Schreibe stellen gerecht untereinander und subtrahiere schriftlich.</p> <div class="equation"> <div>a) <br> 476 - 248</div> <div>b) <br> 428 - 79</div> <div>c) <br> 927 - 569</div> <div>d) <br> 654 - 368</div> </div> </div> <div class="exercise"> <p class="number">3. Erkennst du die Regel? Setze fort.</p> <div class="equation"> <div>a) <br> 876 - 222</div> <div>b) <br> 765 - 222</div> </div> </div> <div class="exercise"> <p class="number">4. Klecksaufgaben. Welche Ziffern fehlen?</p> <div class="equation"> <div>a) <br> 537 - 225</div> <div>b) <br> 574 - 352</div> <div>c) <br> 648 - 324</div> <div>d) <br> 206 - 45</div> <div>e) <br> 968 - 201</div> <div>f) <br> 468 - 247</div> </div> </div> <div class="exercise"> <p class="number">5. Die Differenz ist immer 234. Finde passende Zahlen.</p> <div class="equation"> <div>a) <br> 678 - 444</div> <div>b) <br> 457 - 223</div> <div>c) <br> 789 - 555</div> <div>d) <br> 512 - 278</div> <div>e) <br> 801 - 567</div> <div>f) <br> 943 - 709</div> </div> </div> </div> <div class="page"> <h1>Schriftlich subtrahieren - Überschlagen</h1> <div class="exercise"> <p class="number">1. Welcher Überschlag passt? Verbinde erst und rechne dann genau.</p> <div class="equation"> <div>a) <br> 650 - 200</div> <div>b) <br> 300 - 200</div> <div>c) <br> 500 - 300</div> <div>d) <br> 600 - 250</div> <div>e) <br> 750 - 500</div> </div> </div> <div class="exercise"> <p class="number">2. Überschlage zuerst, rechne dann genau.</p> <div class="equation"> <div>a) <br> 615 - 183</div> <div>b) <br> 739 - 375</div> <div>c) <br> 573 - 228</div> <div>d) <br> 847 - 384</div> </div> </div> <div class="exercise"> <p class="number">3. Rechne nur die Aufgaben, deren Differenz größer als 200 und kleiner als 300 ist.</p> <div class="equation"> <div>a) <br> 872 - 567</div> <div>b) <br> 574 - 394</div> <div>c) <br> 971 - 584</div> <div>d) <br> 512 - 264</div> <div>e) <br> 476 - 259</div> <div>f) <br> 613 - 215</div> <div>g) <br> 953 - 447</div> <div>h) <br> 725 - 518</div> </div> </div> </div> </div>
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