Chapter 1.1, Problem 2LC

a.

To determine

Find the algebraic expression for the phrase.

Answer to Problem 2LC

  $9t$

Explanation of Solution

Given information:

  $Theproductof9andanumbert$.

Calculation:

Here, we have to write an algebraic expression for the following phrase:

  $Theproductof9andanumbert$

Now, it means to multiply $9witht$

Hence, the product of $9$ and a number $t$ is $9t$ .

b.

To determine

Find the algebraic expression for the phrase.

Answer to Problem 2LC

  $x-\frac{1}{2}$

Explanation of Solution

Given information:

  $The\text{ difference of a number x and }\frac{1}{2}$.

Calculation:

Here, we have to write an algebraic expression for the following phrase:

  $The\text{ difference of a number x and }\frac{1}{2}$

Now, it means to subtract $\frac{1}{2}fromx$

Hence, the difference of a number $xand\frac{1}{2}$ is $x-\frac{1}{2}$ .

c.

To determine

Find the algebraic expression for the phrase.

Answer to Problem 2LC

  $m+7.1$

Explanation of Solution

Given information:

  $The\text{ sum of a number m and 7}\text{.1}$.

Calculation:

Here, we have to write an algebraic expression for the following phrase:

  $The\text{ sum of a number m and 7}\text{.1}$

Now, it means to add $7.1tom$

Hence, the sum of a number $mand7.1$ is $m+7.1$ .

d.

To determine

Find the algebraic expression for the phrase.

Answer to Problem 2LC

  $\frac{207}{n}$

Explanation of Solution

Given information:

  $The\text{ quotient of 207 and a number n}$.

Calculation:

Here, we have to write an algebraic expression for the following phrase:

  $The\text{ quotient of 207 and a number n}$

Now, it means to divide $207byn$

Hence, the quotient of $207$ and a number $n$ is $\frac{207}{n}$ .