Question

Translate the following verbal phrases into algebraic expressions and vice versa.1. The product of the sum of a and 7, and 22. The ratio of 2 subtracted from m, and 3 less than n3. The sum of r and s raised to the power of 104.5x^2 + 65.2c - 3

Answer 1

The first verbal phrase is given below as

1. The product of the sum of a and 7, and 2

We will first of all represent the sum of a and 7 below as

`\begin{gathered} sum\text{ of a and 7 is} \\ (a+7) \end{gathered}`

Product of the sum above and 2 will be represented below as

`2(a+7)`

2. The ratio of 2 subtracted from m, and 3 less than n

2 substracted from m is represented below as

`\begin{gathered} m-2 \\ 3\text{ less than n is represented below as} \\ n-3 \\ hence,the\text{ ratio will bee} \\ =(m-2)/(n-3) \end{gathered}`

Hence,

The ratio of 2 subtracted from m, and 3 less than n

`\Rightarrow(m-2)/(n-3)`

3. The sum of r and s raised to the power of 10

The sum of r and s is represented below as

`\begin{gathered} r+s \\ the\text{ sum of r and s raised to the power of 10 will be} \\ (r+s)^(10) \end{gathered}`

Hence,

The sum of r and s raised to the power of 10 will be translated as

`\Rightarrow(r+s)^(10)`

4. Translate the expression below to a verbal phrase

`5x^2+6`

This can be represeted as

6 more than the product of 5 and the square of x

5. Translate the expression below to a verbal phrase

`2c-3`

This can be represented as

3 less than the product of 2 and c