Q50. - Algebra 1

Question

Explain how to translate a verbal sentence into an algebraic equation.

Step-by-Step Solution

Answer

The verbal sentence can be translated into the equation by writing variables and signs as stated in the equation keeping the BODMAS rule in mind. 

Step 1. Given information.

The perimeter of the rectangle is P and w be the width of the rectangle.

Step 2. Concept used.

To convert the sentence into an equation, start reading the sentence from the beginning and keep converting each variable and sign into an equation, keeping in mind, the rule of BODMAS.

Step 3. Write an example.

The sum of 2 and the quotient of a number and 8 are equal to 16.

The equation can be written as:

$2+\frac{x}{8}=16$

This equation can also be written as below:

$$\begin{gathered} \frac{x}{8}=16-2 \\ \frac{x}{8}=14 \\ x=14\left(8\right) \end{gathered}$$

Step 4. Write another example.

The product of 27 and k is equal to 9 less than the square of h.

The equation can be written as:

$27k=h^2-9$

So,

$h^2-27k-9=0$