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

Answer:

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

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

Hence,

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

$\Rightarrow\frac{m-2}{n-3}$

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