Equations with No Solutions or Multiple Solutions
We reviewed the expectations for how to properly check an answer for a problem by restating the original equation first and then showing the substitution. Students then learned how simple math word games can be translated into algebraic expressions. Once this is done, the expressions can be solved. This is the math that is used in some of those "mind reading" games that we sometimes play in math classes.
There are times, when solving equations, that you come across a statement that says something totally false, like "5 = 4". When this happens, there is no value that can be substituted in for the variable to make the problem work. The answer to these types of problems is "No Solution" or "ΓΈ".
In other problems, you might reach a point in solving the equation where you end up with a step that states something that is obviously true, like "7 = 7". In this case, any number you substitute in for the variable will work. The answer to these types of problems is "All real numbers".
Tonight's Homework: Page 799 ( 17 - 30 all, solve and check)
There are times, when solving equations, that you come across a statement that says something totally false, like "5 = 4". When this happens, there is no value that can be substituted in for the variable to make the problem work. The answer to these types of problems is "No Solution" or "ΓΈ".
In other problems, you might reach a point in solving the equation where you end up with a step that states something that is obviously true, like "7 = 7". In this case, any number you substitute in for the variable will work. The answer to these types of problems is "All real numbers".
Tonight's Homework: Page 799 ( 17 - 30 all, solve and check)
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