Algebraic Equations:
In the previous unit lesson Translating Expressions, we worked with some of the most common words and phrases used in translating algebraic expressions.
add 
subtract 
multiplied by 
divide 
“Expressions” and “equations” refer to two different entities in mathematics.
If you are dealing with an “equal sign”, you are dealing with an “equation”.
Unlike expressions, algebraic equations contain an equal sign.
EQUAtion EQUAL sign
An equation is a sentence where two algebraic expressions are equal.
To our list of “words” as shown in the chart at the top of this page,
we can now add a sampling of words that imply the need of “an equal sign”.
EQUAL 
is, are, was, were, equivalent to, same as, yields, gives 
Also, continue to look for commas, to help you group your terms.
If you are having trouble determining what the equation might be, make up a numerical problem to see how the numbers in the problem are related to one another. 
Translate the following verbal problems into equations, 
Verbal Statement 
Algebraic Equation 

1. 
Three times a number, divided by ten equals fifteen. 

2. 
Ten less than the quotient of a number and two is zero. 

3. 
Twelve more than the product of a number and two is thirtysix. 
2n + 12 = 36 
4. 
Represent the cost of access to a movie web site which charges a $5 fee for the first month, and then $28 a month for continued access after the first month. 
c = cost, m = months 
5. 
If chocolate doughnuts cost $1.50 and chocolate chip muffins cost $2.25, how many of each can you purchase for $20? 
d =doughnuts, m = muffins 
6. 
Express the area of a rectangle whose length is twice its width decreased by 6. 
A = area, w = width 
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