Explain how you determine each of the two expressions of the equation when the mathematical statement is given in words. Explain how you determine each of the two expressions of the equation when the mathematical statement is given in words.

This can be done by properly interpreting the words into appropriate signs and digits.

Please check below for explanation of WORD PROBLEMS.

Step-by-step explanation: In mathematics, as you move to a higher level, you would encounter more of word problems than simply figures and signs. This simply means, you would be presented with series of statements that should be interpreted and hence an equation would be derived and then solution proffered. First it is really important to note that an equation only exists when the expression on one side is equal to that on the other side. Equally important are the following expressions;

(1) Sum refers to addition (plus)

(2) Difference refers to subtraction (minus)

(3) Product refers to multiplication (times) and

(4) Quotient refers to division (divide)

(5) The same as refers to equal to

Hence, interpreting the expression is largely determined by the use of any of the above expressions and the slightest error in interpreting negates everything afterwards.

So on the one hand, one set of statements will usually tell you that, "so and so is the same as" this and that. This is interpreted as "so and so" is equal to "this and that."

A simple example would help to illustrate this;

Illustration:

(a) Four times a number added to a dozen would result in seven times that same number.

Solution; Let the number be x. Four times a number means 4 times x, which gives you 4x.

Added to a dozen means you add 4x to  a dozen, that is 4x + 12.

This would result in seven times that same number. Simply put, what you just did above (4x + 12) would result in or would be equal to 7 times x which is 7x. This now gives you,

4x + 12 = 7x.

Therefore to determine each of the two expressions of an equation is largely dependent on properly interpreting the words into the appropriate signs and figures (that is, plus, minus, times, divide and equal to).

the first option is the answer.