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Translate the sentence into an equation.
Five times the sum of a number and 6 is 2 .
Use the variable
y for the unknown number.

Translate the sentence into an equation. $\newline$ Five times the sum of a number and $6$ is $2$ . $\newline$ Use the variable $y$ for the unknown number.

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Write an equation from words

Full solution

Q. Translate the sentence into an equation.

\newline

Five times the sum of a number and

6

is

2

.

\newline

Use the variable

y

for the unknown number.

Identify Operation: Identify the math operation found in the phrase: $\newline$ “Five times the sum of a number and $6$ ” $\newline$ The phrase indicates a multiplication of $5$ with the sum of a number and $6$ . $\newline$ The operation involves both addition and multiplication.
Write Sum Expression: Write an expression to represent “the sum of a number and $6$ ”. Let the unknown number be represented by the variable $y$ . The sum of $y$ and $6$ is written as $(y + 6)$ .
Write Times Expression: Write an expression to represent “Five times the sum of a number and $6$ ”. Now, we multiply the sum from Step $2$ by $5$ . This is written as $5 \times (y + 6)$ .
Write Equation: Write an equation to represent “Five times the sum of a number and $6$ is $2$ ”. The sentence can be translated into the equation $5 \times (y + 6) = 2$ .

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