Question

The sum of twice a number, n, and 14 is 30. Write an equation that models this

statement. Then explain how you might use reasoning to find the value of n.

Answer 1

The equation modeling the word problem is 2n + 14 = 30. By subtracting 14 and then dividing by 2, we find that the number n is 8.

Step-by-step explanation:

The student is asking how to write an equation based on a word problem and solve for a variable using reasoning. The word problem states: 'The sum of twice a number, n, and 14 is 30.' To model this statement, we can create the equation: 2n + 14 = 30.

To solve for n, we can first subtract 14 from both sides of the equation:
2n + 14 - 14 = 30 - 14
2n = 16

Then we divide both sides by 2 to find the value of n:
2n / 2 = 16 / 2
n = 8

Through this reasoning, we determine that the value of n is 8. This method is a systematic way of isolating the variable to find its value using basic arithmetic operations.

Answer 2

2n +14 = 30 I can use inverse operations and solve for n.

Step-by-step explanation:

twice means 2 so twice a number,n, means 2 times n thus 2n.

sum means add so, 2n + 14

is means equal so 2n + 14 = 30

If you solve it you will find n = 8