Algebra 2 Honors Vocabulary Flashcards

Real Numbers

• Include both rational (fractions, integers) and irrational numbers (non-repeating decimals).

Opposites

• Defined as numbers equidistant from zero but located on opposite sides of the number line.

Absolute Value

• Represents the distance from zero on the number line, always positive.

Algebraic Expression

• Combinations of numbers, variables, and operational symbols (sum, difference, product, quotient).

Commutative Property

• In both addition and multiplication, order of operations does not affect the result.

Associative Property

• For addition and multiplication, how numbers are grouped does not change the outcome.

Distributive Property

• Multiplication can be distributed across addition, facilitating simplification of expressions.

Conjunction

• A logical statement formed by combining two statements with "and".

Disjunction

• A logical statement formed by combining two statements with "or".

Coordinate

• An ordered pair (x, y) representing a specific point in the xy-coordinate plane.

Origin

• The point of intersection for the x and y axes, denoted as (0,0).

Quadrant

• The coordinate plane is divided into four regions by the intersecting axes.

Slope of a Line

• Measures how steep a line is, calculated as the ratio of vertical change to horizontal change.

Standard Form

• Represents a linear equation in the form Ax + By = C.

Point-Slope Form

• Format for linear equations expressed as y - Y = M(x - X), capturing slope and a point on the line.

Coefficient

• The numerical factor that multiplies a variable in an algebraic term.

Slope-Intercept Form

• Linear equations expressed as y = mx + b, where m is the slope and b is the y-intercept.

Monomial

• A single term that can be a constant, variable, or a product of constants and variables.

Degree of a Polynomial

• Identifies the highest degree among the terms in a polynomial after simplification.

Function

• A relation where each input has a unique output, ensuring no repeated first coordinates.

Relation

• A set of ordered pairs that can represent various mathematical relationships.

Prime Number

• An integer greater than one with no divisors other than one and itself.

Prime Factorization

• The process of breaking down a positive integer into a product of prime numbers.

Rational Expression

• An algebraic expression that can be simplified into a quotient of two polynomials.

Extraneous Root

• A solution to a modified equation that does not satisfy the original equation.

Like Radicals

• Radicals that share the same index and radicand, permitting direct addition or subtraction.

Rational Number

• Any number that can be expressed as a fraction or ratio of two integers.

Irrational Number

• A number that cannot be expressed as a simple fraction, characterized by infinitely non-repeating decimals.

Pure Imaginary Number

• A complex number exclusively of the form bi, where b is a real number.

Complex Number

• A number expressed in the form a + bi, combining a real part (a) and an imaginary part (bi).

Quadratic Formula

• The solution for quadratic equations in the standard form ax² + bx + c = 0.

Discriminant

• Calculated as b² - 4ac, helps determine the nature and number of roots of a quadratic equation.

Parabola

• The graph representation of a quadratic equation characterized by the form y - k = a(x - h)².

Vertex

• The highest or lowest point of a parabola, identified as the point (h, k).

Dividend

• The quantity that is being divided in a division operation.

Divisor

• The quantity by which another quantity is divided during the division process.

Division Algorithm

• Describes the relationship: Dividend = Quotient × Divisor + Remainder.

Test your understanding of key vocabulary in Algebra 2 Honors. This quiz includes definitions of important terms such as real numbers, opposites, absolute value, and algebraic expressions. Perfect for students looking to reinforce their algebra vocabulary skills.