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Identifying Terms in an Expression
To identify the terms within an algebraic expression, locate the parts of the expression separated by addition () or subtraction () signs. Each separated part is a single term.
- In $9x^2 + 7x + 12, the addition signs divide the expression into three terms: $9x^2, $7x, and{12}$.
- In $8x + 3y, the addition sign separates two terms: $8xand $3y$.
A standalone constant such as qualifies as its own term, and terms with different variable parts—like $9x^2xsquared) versus \7xx$ to the first power)—are counted as distinct terms.
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A logistics coordinator uses the expression 45w + 12g + 150 to calculate the total shipping cost for a delivery, where 'w' represents the weight in pounds, 'g' represents the number of fragile items, and 150 is a flat handling fee. Which of the following correctly identifies the individual terms in this expression?
A medical billing specialist uses the expression 120v + 45m + 15 to calculate a patient's total charges. In algebra, the individual parts of this expression (120v, 45m, and 15) that are separated by the addition signs are each called a(n) ____.
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A project coordinator uses the expression $2500 + 45h - 100d$ to estimate project costs. According to the rules for identifying terms in an algebraic expression, which specific symbols are used to define the boundaries between the individual terms?
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