Q. 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.
Identify Operation: Identify the math operation found in the phrase:“Five times the sum of a number and 6”The phrase indicates a multiplication of 5 with the sum of a number and 6.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×(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×(y+6)=2.