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.

sum
more than
increased by
exceeds
in all
combined
total
gain
plus

deposit
 SUBTRACT
subtract
difference
less than
decreased by
diminished by
minus
fewer
reduced by
take away
withdraw
 MULTIPLY
multiplied by
of
product
times
double
twice
triple
 DIVIDE
divide
quotient
divided equally
per
ratio of
split into
fraction

"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