The rule for this process is to operate the numbers with the numbers, and the letters with the letters. Unlike addition and subtraction, like terms are not necessary for multiplication and division. Because now we have an actual value, we can carry out the operations ( ,×,) in the expression using this value. After 10 years he will be twice the age of his brother. Similar variants of the above mistake include: Problem 1 : Martin is four times as old as his brother Luther at present. So, they must be kept as separate terms when added.Ī good way to remember avoiding mistake is to note that \( x y \) will not produce \( xy \). The below examples illustrate this process of simplification.Įxpressions with unlike terms cannot be simplified further.Ī common mistake is writing \( 2x 3y \) as \( 5xy \). Hence, the process is called “ collecting like terms”. Look for the words of and and to find the numbers to subtract. The key word is difference, which tells us the operation is subtraction. The key aspect of this process is that only like terms can be combined. The quadratic formula expresses the solution of the equation ax2 bx c 0, where a is not zero, in terms of its coefficients a, b and c. Translate each word phrase into an algebraic expression: 1. This is known as simplifying the expression. Lengthy expressions such as \( 3a 2a a b 2b 3b \) can be written in a much shorter form. Pronumerals essentially represent numbers, and, hence, they can be added, subtracted, multiplied and divided – the four number operations.Īddition and Subtraction – Collecting like terms
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