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Describe Common Phrases to Represent Math Operations?
The table below shows the common phrases used in word problems to represent addition, subtraction, multiplication, and division.
+
-
*
/
plus more than sum increased by total
minus less than difference subtract decreased by
times product multiplied
divided quotient
plus more than sum increased by total minus less than difference subtract decreased by times product multiplied divided quotient
The following examples show common operations translated into algebraic expressions: a. 8 dollars more than the cost of a tape: 8+tb. 3 times faster than Fred's car: 3fc. 2 inches less than Gail's height: g-2
The following examples show the above expressions as equations: a. A CD costs 8 dollars more than a tape: c=8+tb. Heather's car is 3 times faster than Fred's car: h =3fc. Isabel's height is 2 inches less than Gail's height: i= g-2 The word "is" gives you a clue that a sentence translates into an equation. In other words, "is" represents the equal sign (=).
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Product Rule If the two functions f(x) & g(x) are differentiable (i.e. the derivative exist) then the product is differentiable and,
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