Final answer:
The sentences '15 is equal to 8 more than a number' and 'The quotient of 35 and the number is 7' can be translated into the equations 15 = n + 8 and 35 / n = 7, respectively, where n is the unknown number. After forming the equations, operations such as addition, subtraction, multiplication, or division are used to solve for n.
Step-by-step explanation:
To translate the given words into equations, we need to assign a variable to the unknown number. Let's call this unknown number n.
A. The phrase, '15 is equal to 8 more than a number,' can be translated to the equation 15 = n + 8. This means that when you add 8 to the number n, the result is 15.
B. 'The quotient of 35 and the number is 7' translates to 35 / n = 7. This indicates that when you divide 35 by the number n, the outcome is 7.
It is important to follow the steps of equation manipulation to ensure accurate results. For the first equation, you subtract 8 from both sides to solve for n. For the second equation, you would multiply both sides by n and then divide by 7 to find the value of n.
Lastly, always check to ensure that these answers make sense in the context of the original word problems.