Question

Kate writes an algebraic expression using each of the variables x and y only once. they first expression she writes uses x and y as factors. Than she writes another expression that uses x and y as terms. if x and y are both negative integers, write a comparison between the two expressions

Choice A: More information is needed.
Choice B: Using x and y factor results in an expression of greater value than using x and y as terms.
Choice C: None of the other answers are correct.
Choice D: The two expressions are of equal value.

Answer 1

B: Using x and y factor results in an expression of greater value than using x and y as terms.

Explanation:

For her first expression, x and y are factors;

xy

For her second expression, x and y are written as terms;

x + y

For x and y are both negative integers, then;

-x * -y = xy ............... 1

-x + (-y) = - x - y

= - (x + y) .............. 2

Therefore, the value of x and y factors is greater than that when x and y are as terms. Thus the correct option is B.