Understanding the Language of Algebra

Algebraic expressions are combinations of numbers, variables (like \(x\) or \(y\)), and arithmetic operations (such as +, -, ×, ÷). Learning how to manipulate these expressions is the building block for all of algebra.

Types of Expressions

• Monomials: Single term (e.g., \(5x\), \(-3\))
• Polynomials: Multiple terms (e.g., \(2x^2 + 3x - 4\))

Operations

You’ll often:

• Add or subtract like terms (\(3x + 4x = 7x\))
• Multiply expressions (\((x+2)(x-3)\))
• Factor polynomials (\(x^2 - 9 = (x+3)(x-3)\))

Why It Matters

Mastering these operations lets you simplify problems, solve equations, and is essential for calculus and science courses.

Tips for Success

• Always combine like terms.
• Watch out for negative signs.
• Practice expanding and factoring.