Q2. - Algebra 1

Question

Translate each sentence into an equation. (Lesson 2-1)

One fourth of m minus six is equal to two times the sum of m and 9.

Step-by-Step Solution

Answer

$\frac{m}{4}-6=2\left(m+9\right)$

Step 1. Given Statement.

One fourth of m minus six is equal to two times the sum of m and 9.

Step 2. Description of step.

To convert the above statement into an equation, first notice the fist operation mentioned in the statement, that is

“One fourth of m” that can be written as

$\frac{1}{4}\left(m\right)=\frac{m}{4}$ 

Now two times the sum of m and 9 can be written as,

$2\left(m+9\right)$

Step 3. Conclusion.

Thus, the whole statement “One fourth of m minus six is equal to two times the sum of m and 9” can be translated into an equation as:

$\frac{m}{4}-6=2\left(m+9\right)$