91Ó°ÊÓ

Writing about mathematics will help you to learn mathematics. For all writing exercises in this book, use complete sentences to respond to the questions. Some writing exercises can be answered in a sentence; others require a paragraph or two. You can decide how much you need to write as long as your writing clearly and directly answers the question in the exercise. Standard references such as a dictionary and a thesaurus should be helpful. How do you tell the difference between an algebraic expression and an equation?

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. Because there are four quarters in a dollar, I can use the formula \(q=4 d\) to determine the number of quarters, \(q,\) in \(d\) dollars.

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable \(x\) represent the number. \(\frac{1}{5}\) of a number

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable \(x\) represent the number. \(\frac{1}{6}\) of a number

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable \(x\) represent the number. A number decreased by \(\frac{1}{4}\) of itself

I read that a certain star is \(10^{4}\) light-years from Earth, which means \(100,000\) light-years. When I evaluated \((-1)^{n},\) I obtained positive numbers when \(n\) was even and negative numbers when \(n\) was odd

Explain how to subtract real numbers.

In Exercises \(109-116\), write a numerical expression for each phrase. Then simplify the numerical expression by performing the given operations. The product of \(-6\) and \(-4,\) decreased by \(-5\)

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Some whole numbers are not integers.

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable \(x\) represent the number. The product of \(\frac{3}{4}\) and a number, increased by \(9,\) is 2 less than the number.