Chapter 1.1, Problem 2P

a.

To determine

Write an algebraic expression.

Answer to Problem 2P

  $6n$

Explanation of Solution

Given information:

  $6timesanumbern$

Calculation:

  $\begin{array}{l}\underset{\_}{wordphrase}\underset{\_}{\mathrm{mod}el}\underset{\_}{Expression}\\ 6timesn.n.n.n.n.n6\times n=6n\\ anumbern\end{array}$

Hence, an algebraic expression is $6n$ .

b.

To determine

Write an algebraic expression.

Answer to Problem 2P

  $\frac{18}{n}$

Explanation of Solution

Given information:

  $thequotientof18andanumbern$

Calculation:

  $\begin{array}{l}\underset{\_}{wordphrase}\underset{\_}{\mathrm{mod}el}\underset{\_}{Expression}\\ thequotientof1818÷n,\frac{18}{n}\\ 18and\\ anumbern\end{array}$

Hence, an algebraic expression is $\frac{18}{n}$ .

c.

To determine

Verify that the phrases are same.

Answer to Problem 2P

Phrases are same.

Explanation of Solution

Given information:

  $6lessanumberyand6lessthananumbery$

Calculation:

Consider first phrase,

  $6lessanumbery$

The expression for the phrase,

  $y-6$

Consider second phrase,

  $6lessthananumbery$

The expression for the phrase,

  $y-6$

Hence, both phrases are the same.