Practice Exercises and Solutions
The guide concludes with a set of practice exercises to help students apply the rules they've learned. These exercises cover various scenarios of Klammern auflösen, including simple bracket removal, distribution of factors, and expansion of multiple brackets.
Example: Exercise 1: 5x +3 - 7y+2
Solution: 5x +3-7y-2 = 5x +1-7y
This example demonstrates the application of the subtraction rule, where signs within the bracket are reversed.
Example: Exercise 2: 62x+3
Solution: 6·2x + 6·3 = 12x +18
This exercise shows the distribution of a factor to terms within a bracket.
Example: Exercise 3: 7x−22−4y
Solution: 7x·2+7x· −4y + −2·2 + −2·−4y = 14x-28xy -4 +8y
This more complex example requires expanding two brackets, carefully considering sign rules.
Highlight: Practice is key to mastering Klammern auflösen. Work through these exercises methodically, paying close attention to signs and the specific rules for each operation.
By providing a mix of examples and exercises, the guide offers students the opportunity to reinforce their understanding of Klammern auflösen and develop confidence in applying these crucial algebraic techniques.