Q12. - Algebra 1

Question

Translate each equation into a sentence.

$3p+8=20$

Step-by-Step Solution

Answer

The required sentence is:

The sum of the thrice times of the p with the 8 is equal to the 20.

Step 1. Apply the concept of multiplication of a constant and a variable.

When a constant is multiplied by a variable we just append the constant in front of the variable.

We are given the expression $3p+8$, so variable $p$ is being multiplied by 3. 

Step 2. Apply the concept of sum for unlike terms.

Like terms are the terms having the same variables and being raised to the same index. A coefficient is the appended number in front of the variable; if no number is shown then we assume it to be 1.

For example, $4x$ and $5x$ are like terms.

Unlike terms are the terms not having the same variables and or are raised to a different index.

For example, 4 and $5x$ are unlike terms.

We can add like terms by adding their coefficients, we cannot add the unlike terms.

Now we are given the expression $3p+8$, so $3p$ is being added with 8.

Step 3. Evaluate the results.

Now it is given that the expression $3p+8$, is equal to 20. 

Thus, the required sentence is:

The sum of the thrice times of the $p$ with the 8 is equal to the 20.