Algebraic Terms & Expressions

Welcome to the entry point of Algebra. Learn how to dissect algebraic terms into variables, constants, coefficients, and powers, and visually combine like items into simplified expressions.

Introductory Anatomy

Anatomy of a Term

An **algebraic term** is a product of signs, numbers (coefficients), variables (bases), and exponents. Adjust the sliders below to change the values and inspect the term's component diagram.

Active Term

-3x²
Coefficient (c) 3
Exponent / Power (p) 2
Expanded Algebraic Product:
-1 · 3 · x · x
Interactive Builder

Expression Builder

Assemble algebraic expressions. Tap components to add coefficients, variables, and constants. Watch the terms arrange, and inspect their breakdown details below.

Tactile Component Inputs


Builder HUD:

• **Coefficient**: A multiplier positioned next to a variable.
• **Variable**: A letter representing an unknown shifting value.
• **Constant**: A fixed number without a variable.

Built Algebraic Expression

Expression is empty. Tap inputs on the left.

Terms Component Breakdown


Like Terms Combiner

Combining Like Terms

**Like Terms** are terms containing identical variables raised to identical powers. Only like terms can be added or subtracted. Tap the animate button to watch blocks align and merge!

Expression State

3x + 2 + 2x + 5 - y + 3y

Simplification Stages:
• Initial expression: 3x + 2 + 2x + 5 - y + 3y
• Group like terms: (3x + 2x) + (-y + 3y) + (2 + 5)
• Simplified: 5x + 2y + 7
Self Evaluation

Conceptual Quiz

Test your algebraic vocabulary, variables, constants, coefficients, and combining logic.

Question 1 of 5 Score: 0/0

In the term -7x³, what value represents the COEFFICIENT?

Correct Answer!

Explanation text goes here.

Focus Benchmarks


  • Coefficients (term multipliers)
  • Variables (symbolic values)
  • Constants (fixed numbers)
  • Powers (exponents)
  • Like terms combining rules