SAT Math | Pre-Algebra | Algebra 1 | How to Find "How Much Greater" One Expression Is Than Another

Let's tackle a fundamental algebra problem that asks 'How much greater than n-11 is n+3?' In this video, you'll learn the straightforward method for finding the difference between two algebraic expressions. We'll show you how to correctly set up the subtraction, meticulously distribute the negative sign across the second expression, and then combine like terms to simplify the result. This tutorial is perfect for solidifying your understanding of basic algebraic operations and precisely interpreting mathematical phrases! #algebra #subtractingexpressions #algebraicdifference #math #tutorial #problemsolving #prealgebra #algebraicoperations #simplifyexpressions #howmuchgreater

Problem: How much greater than n-11 is n+3?
Option (A) : 8
Option (B) : 10
Option (C) : 12
Option (D) : 14
*This video is suitable for students studying SAT Math, Pre-Algebra, Algebra 1 (US curriculum).*

Solution:
To find out how much greater one number is than another, we subtract the smaller number from the larger number.
In this case, we want to find the difference between (n+3) and (n-11).

Difference = (n + 3) - (n - 11)

Distribute the negative sign to the terms inside the second parenthesis:
Difference = n + 3 - n + 11

Combine like terms:
Difference = (n - n) + (3 + 11)
Difference = 0 + 14
Difference = 14

So, n+3 is 14 greater than n-11.

Compare the result with the given options:
Option (A) : 8
Option (B) : 10
Option (C) : 12
Option (D) : 14

The calculated difference is 14, which matches Option (D).

The final answer is D.

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