Adding and Subtracting Algebraic Expressions | Step-by-Step Algebra

Learn how to add and subtract algebraic expressions with this easy-to-follow, step-by-step algebra lesson! In this video, we'll work through six examples to help you understand how to remove parentheses, handle negative signs, identify like terms, and simplify algebraic expressions. Whether you're learning algebra for the first time or reviewing for a test, this lesson will help you understand the rules and apply them with confidence. WHAT YOU'LL LEARN: How to add algebraic expressions. How to subtract algebraic expressions. When to keep signs the same and when to change signs. How to remove parentheses correctly. How to combine positive and negative like terms. How to combine terms with squared variables. How to simplify algebraic expressions step by step. PRACTICE PROBLEMS COVERED: 1. (4x − 4) + (3x − 9) 2. (10 − 2r) + (r − 8) 3. (8x² + x) + (−4x + x²) 4. (22 + 6p) − (9p + 5) 5. (15y − 25) − (6 − 2y) 6. (3w² − 7) − (−4w² − 3w) THE THREE IMPORTANT RULES: 1. Adding expressions: Remove parentheses and keep the signs the same. 2. Subtracting expressions: Change the sign of every term inside the second parentheses. 3. Combining like terms: Combine only terms with the same variable and exponent. By the end of this lesson, you'll have a better understanding of how to simplify algebraic expressions and solve these problems on your own. Math made clear. One step at a time. WATCH THESE VIDEOS: