Algebra in Words: A Guide of Hints, Strategies and Simple by Gregory P. Bullock Ph.D.

By Gregory P. Bullock Ph.D.

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They can’t be factors because factors are multiplied, not split apart by plus or minus signs. Be careful not to use “factor” and “term” interchangeably. What is a “Like-Term”? A like-term is a term with a common base and common exponent. Terms must have both the same variable (letter) and the same exponent to be eligible to be combined. Only like-terms can be added or subtracted (*see note below). If there are terms that are not variables, they must only be constants (numbers) which count as like-terms and can simply be added or subtracted together.

This is Algebra in Words. Why Do You Need Algebra? ” These are completely valid questions. On one hand, that question can be asked about any general education class which does not seem to relate to one’s major. The general stock answer is: Because it makes you more well-rounded. And that’s true, but for many, that answer is still vague and unacceptable. With regards to math specifically, many instructors put forth great effort and creativity to exhibit reasons and scenarios as to how math is used in everyday life.

This example follows that: Any number over one equals that number (the top number), and Zero over any non-zero number equals zero. 0 ÷ 0 = undefined, also seen as a fraction: = undefined. In words: Zero divided by zero is undefined, because any number divided by zero is undefined. ” Zero divided by zero does not equal zero, as some mistakenly think. This property is especially useful when looking at: Slopes of Vertical Lines (see: A Vertical Line, and: When x1 = x2), and Extraneous Solutions (see: Solving Equations with Rational Expressions and Extraneous Solutions).