Answer :
Final answer:
The sentence "Seven more than a number is 15" is translated into the equation 'x + 7 = 15.' Solving for 'x' involves subtracting 7 from both sides, resulting in 'x = 8.'
Explanation:
When writing an equation for the sentence "Seven more than a number is 15," we interpret this as a basic arithmetic relationship. To translate this sentence into a mathematical statement, we let a variable, often 'x', represent the unknown number. Then we express "seven more than a number" as 'x + 7.' The word "is" in the sentence indicates equality, so the complete equation reflecting the given sentence is:
In order to solve for 'x,' we will perform a subtraction operation, removing 7 from both sides of the equation to maintain algebraic balance. This will yield:
x + 7 - 7 = 15 - 7
Which simplifies to:
x = 8
The solution indicates that "the number" referred to in the sentence is 8.