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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 (=).
Max goes to the gym every fourth day. Ellen's exercise routine is to go every third day. Today is Monday and both Max and Ellen are at the gym. What will the day of the week be the
What is a rational number?
Horizontal asymptotes : Such as we can have vertical asymptotes defined in terms of limits we can also have horizontal asymptotes explained in terms of limits. Definition
7 3/4-3 5/6=
Model of 180 meter tall building using a scale of 1.5 centimeters = 3.5 meters. How tall will the model be?
Rule 1 The logarithm of 1 to any base is 0. Proof We know that any number raised to zero equals 1. That is, a 0 = 1, where "a" takes any value. Therefore, the loga
Examples of logarithms: log 2 8 = 3 since 8 = 2 3 log 10 0.01 = -2 since 0.01 = 10
Three quantities a, b and c are said to be in harmonic progression if, In this case we observe that we have to consider three terms in o
Inverse Cosine : Now see at inverse cosine. Following is the definition for the inverse cosine. y = cos -1 x ⇔ cos y = x for
The locus of the midpoint of the chords of an ellipse which are drawn through an end of minor axis is called
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