Скачать или смотреть Simplify (3p + 4) + (2p − 7) Step by Step Algebra Problem Solved

In this lesson we simplify the algebraic expression (3p + 4) + (2p − 7) in a clear, step-by-step process. This problem is a good introduction to combining like terms when parentheses are involved. Because the parentheses are connected by addition, they can be removed without changing any signs, which makes the problem easier to manage.

Here’s the breakdown of the process:

Step 1: Remove parentheses
Since both groups are added, we simply drop the parentheses and rewrite the expression as 3p + 4 + 2p − 7.

Step 2: Group like terms
Next, we look for terms with the same variable and terms that are constants. The variable terms are 3p and 2p, and the constants are +4 and −7.

Step 3: Combine like terms
Add the coefficients of the p-terms: 3p + 2p = 5p.
Combine the constants: 4 − 7 = −3.

Step 4: State the simplified expression
The final simplified result is 5p − 3.

This type of problem shows up often in Algebra 1 and beyond. It’s a foundation for solving equations, working with polynomials, and preparing for exams like the SAT, ACT, and other standardized tests. The more you practice these, the faster and more accurate you’ll get when simplifying expressions.

📘 Perfect for:

Algebra 1 students

High school math review

SAT and ACT prep

Anyone refreshing their algebra basics

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