Q18. - Algebra 1

Question

Translate the following equation into a sentence:

$6d^2-7f=8d+f^2$

Step-by-Step Solution

Answer

The sentence for the equation $6d^2-7f=8d+f^2$ is:

“Six times the square of d minus 7 times f is equal to 8 times d plus the square of f”.

Step 1. Given information.

The given equation is:

$6d^2-7f=8d+f^2$

Step 2. Break the terms and write sentences.

The term “$d^2$” is written as the square of d. So, the term “$6d^2$” can be written as 6 times square of d.

The term “7f” is seven times f and the term “8d” is eight times d.

The term “$f^2$” is written as the square of f.

Step 3. Write the complete sentence.

The sentence for the equation is written as in below:

 “Six times the square of d minus 7 times f is equal to 8 times d plus the square of f”.