Algebra Vocabulary Flashcards

Algebra Vocabulary Study Notes

• Variable: Represents an unknown number, commonly denoted by letters (e.g., x, y).

• Equation: A statement asserting the equality of two expressions, often containing variables.

• Distributive Property: Establishes that for all real numbers a, b, and c, the equation a(b + c) = ab + ac holds true.

• Formula: An equation that reveals how different measurements relate to each other, often used in various fields of study.

• Coefficient: A numerical factor that multiplies a variable in an expression, affecting its value.

• Opposite: The negative counterpart of a real number a, represented as -a.

• Reciprocal: For a nonzero real number a, its reciprocal is defined as 1/a, crucial in division operations.

• Factor: The process of expressing a number or expression as a product of its components.

• Power: Refers to an expression where a number, called the base, is multiplied by itself a specified number of times.

• Polynomial: A mathematical expression that is the sum of one or more monomials.

• Binomial: A specific type of polynomial that contains exactly two terms.

• Prime Polynomial: A polynomial that cannot be factored further, having a greatest monomial factor of 1.

• Integers: Include all whole numbers and their negative counterparts, forming a complete set of opposites.

• Quadratic: A polynomial of degree two, characterized by its highest exponent, providing a rich field for solutions.

• Ordered Pair: Two elements represented in a specific order, e.g., (x, y), essential for graphing coordinates.

• Coordinate System: A framework comprising two intersecting number lines (axes) used for graphing ordered pairs.

• Solution: An ordered pair that makes an equation true, representing a point of intersection in graphing.

• Graph: A visual representation of all points that satisfy a particular equation, illustrating relationships between variables.

• Slope: Reflects the steepness of a line, calculated as the ratio of the difference in y-coordinates to the difference in x-coordinates, also termed rise over run.

• Y-Intercept: The specific point where a graph crosses the y-axis, defined by its y-coordinate when x=0.

• Slope-Intercept Form: The standard form of a linear equation written as y = mx + b, where m signifies slope and b signifies the y-intercept.

• System of Equations: A collection of two or more equations that share common variables, often solved simultaneously.

• Function: A relation characterized by unique first elements (inputs) for each ordered pair, ensuring no repetition.

• Direct Variation: A relationship defined by y = kx, where k is a nonzero constant, signifying proportionality between x and y.

• Inverse Variation: Represented by y = k/x, where k is a nonzero constant, indicating an inverse relationship between x and y.

• Radical: An expression involving roots, typically seen in square root forms, essential in simplifying equations.

• Quadratic Formula: A solution method for quadratic equations, given by x = -b±√(b²-4ac)/(2a), applicable when a is not zero.

• Parabola: The graphical representation of a quadratic function, displaying a distinct U-shape on the coordinate plane.

Enhance your understanding of key algebra vocabulary with these flashcards. Each card defines essential terms such as variable, equation, and distributive. Perfect for students looking to solidify their math language skills.