I am helping my daughter with Algebra. She has been asked to generate algebraic expressions for each of the following verbal statements:
"Five times the quantity of x squared plus m, minus two times the quantity of x squared plus m."
"The product of six and x squared, increased by the sum of four and the square of x."
In the first question, does the presence of "the quantity of" imply that the following two terms are grouped together. Alternatively, should the statement be intrepreted in strict left to right order? Is it 5(x^2+m) or 5(x^2)+m etc. etc.?
In the second question, is the first part (6x)^2 or 6(x^2)?
I think I must be complicating things, but I'm absolutely at a loss as to how to help my daugther learn rules for interpreting these types of questions. We've reviewed her textbook and none of the examples have any level of ambiguity to them.