Math Basics

Number Systems

• Natural Numbers: 1, 2, 3,... (positive integers)
• Whole Numbers: 0, 1, 2, 3,... (non-negative integers)
• Integers:..., -3, -2, -1, 0, 1, 2, 3,... (positive and negative whole numbers, including zero)
• Rational Numbers: a/b, where a and b are integers, and b ≠ 0 (fractions)
• Irrational Numbers: cannot be expressed as a/b, where a and b are integers (e.g. π, e)
• Real Numbers: includes rational and irrational numbers
• Complex Numbers: a + bi, where a and b are real numbers, and i is the imaginary unit (i² = -1)

Algebra

• Variables: letters or symbols that represent unknown values
• Constants: numbers
• Expressions: combinations of variables, constants, and mathematical operations
• Equations: statements that two expressions are equal
• Inequalities: statements that one expression is greater than, less than, or equal to another

Geometry

• Points: locations in space, represented by coordinates (x, y) in 2D, or (x, y, z) in 3D
• Lines: sets of points extending infinitely in two directions
• Rays: lines extending from a single point
• Angles: formed by two rays sharing a common endpoint
• Triangles: polygons with three sides and three angles

Calculus

• Limits: the behavior of a function as the input approaches a certain value
• Derivatives: rates of change of functions with respect to the input
• Integrals: accumulation of rates of change over a defined interval
• Differentiation: finding the derivative of a function
• Integration: finding the integral of a function

This is a brief overview of some key concepts in mathematics. There is much more to explore in each of these areas!

Review the fundamentals of mathematics, covering number systems, algebra, geometry, and calculus. This quiz covers key concepts such as integers, variables, points, and limits. Test your knowledge of these essential math topics!