Algebra 2 Honors Flashcards

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Questions and Answers

What is the absolute value of a number?

A number's distance from zero (correct)

A negative number

A number's distance from one

None of the above

What does it mean if a number is approximate?

A number or measurement that is close to or near its exact value.

What is area?

The number of square units needed to cover a surface.

What is an asymptote?

A straight line associated with a curve that the curve approaches but never touches. Signup and view all the answers

What are axes in a coordinate plane?

The horizontal and vertical number lines used. Signup and view all the answers

What is a coefficient?

The number that multiplies the variable(s) in an algebraic expression. Signup and view all the answers

What is a complex number?

A number that can be written in the form a+bi. Signup and view all the answers

What does composition of functions mean?

Combining two functions by taking the output of one and using it as the input of another. Signup and view all the answers

What is a constant?

Any value that does not change. Signup and view all the answers

What is a coordinate plane?

A two-dimensional network of horizontal and vertical lines. Signup and view all the answers

What is the difference in mathematics?

A number that is the result of subtraction. Signup and view all the answers

What does dimension refer to?

The number of coordinates used to express a position. Signup and view all the answers

What is the discriminant?

An expression that determines the number and type of solutions of a quadratic equation. Signup and view all the answers

What is a domain in mathematics?

The set of values of the independent variable(s) for which a function is defined. Signup and view all the answers

What does end behavior refer to in a function?

A function's value for extreme values of its independent variable. Signup and view all the answers

What does it mean for two values to be equal?

Having the same value. Signup and view all the answers

What is an equation?

A mathematical sentence stating that two expressions have the same value. Signup and view all the answers

What is an expression in mathematics?

A mathematical phrase that does not contain equal or inequality signs. Signup and view all the answers

What is a factor?

A number or expression that is multiplied by others to yield a product. Signup and view all the answers

What is a formula in mathematics?

A rule that shows the relationships between quantities. Signup and view all the answers

What does height refer to in geometry?

A line segment extending from the vertex or apex to the base. Signup and view all the answers

What is the imaginary part of a complex number?

The coefficient of i in a complex number. Signup and view all the answers

What is an independent variable?

The variable representing the x variable on a graph. Signup and view all the answers

What does infinite mean?

Has no end or goes on forever. Signup and view all the answers

What are integers?

The set of numbers { ... -4, -3, -2, -1, 0 , 1, 2, 3, 4, ... }. Signup and view all the answers

What is an intercept in mathematics?

The point where a curve or line intersects the axes. Signup and view all the answers

What is joint variation?

A quantity that varies directly with two or more quantities. Signup and view all the answers

What is length?

A one-dimensional measure of line segments. Signup and view all the answers

What is a line?

A collection of an infinite number of points in a straight pathway. Signup and view all the answers

What is a net in geometry?

A two-dimensional diagram that can be folded into a three-dimensional figure. Signup and view all the answers

What does oblique mean?

Tilted at an angle; neither vertical nor horizontal. Signup and view all the answers

What is an operation in mathematics?

Any mathematical process, such as addition or multiplication. Signup and view all the answers

What is a point in geometry?

A specific location in space without length or width. Signup and view all the answers

What is a product in mathematics?

The result of multiplying numbers together. Signup and view all the answers

What does proportional mean?

Having the same or constant ratio. Signup and view all the answers

What is a radius?

A line segment extending from the center of a circle or sphere to a point on it. Signup and view all the answers

What is a real number?

The set of all rational and irrational numbers. Signup and view all the answers

What is a real-world problem in mathematics?

An application of a mathematical concept in a real-life situation. Signup and view all the answers

What is a rectangle?

A parallelogram with four right angles. Signup and view all the answers

What is a remainder?

The final undivided part that is left over after division. Signup and view all the answers

A _______ of a polynomial is a number x such that P(x)=0.

Root Signup and view all the answers

What is a rule in mathematics?

A general statement written to describe how to determine terms in a pattern. Signup and view all the answers

What is a sequence?

A list of numbers set apart by commas. Signup and view all the answers

What is a series in mathematics?

An indicated sum of successive terms of a sequence. Signup and view all the answers

What is a set in mathematics?

A finite or infinite collection of distinct objects. Signup and view all the answers

What is a side in geometry?

The edge of a polygon or one of the rays that make up an angle. Signup and view all the answers

What does it mean to simplify a fraction?

Converting it to an equivalent fraction with a numerator and denominator of GCF one. Signup and view all the answers

What is a square?

A rectangle with four congruent sides. Signup and view all the answers

What is a sum in mathematics?

The result of adding numbers or expressions together. Signup and view all the answers

What is symmetry?

An intrinsic property that remains invariant under certain transformations. Signup and view all the answers

What is synthetic division?

A shortcut method for dividing a polynomial by a first degree polynomial. Signup and view all the answers

What is a system of equations?

A group of equations related to the same situation and sharing variables. Signup and view all the answers

What is a theorem?

A statement or conjecture that can be proven true. Signup and view all the answers

What does transformation refer to in geometry?

An operation that creates a new image from a figure. Signup and view all the answers

What is a triangle?

A polygon with three sides. Signup and view all the answers

What is a unit in measurement?

A determinate quantity adopted as a standard. Signup and view all the answers

What is a variable?

Any symbol that can represent a number. Signup and view all the answers

What is the Binomial Theorem?

A formula that tells how to expand a binomial of the form (a+b)^n. Signup and view all the answers

What is a circle in geometry?

A closed figure with all points the same distance from the center. Signup and view all the answers

What are conic sections?

The family of curves including circles, ellipses, parabolas, and hyperbolas. Signup and view all the answers

What is a degree in terms of measurement?

The unit of measure for angles, equal to 1/360 of a complete revolution. Signup and view all the answers

What is eccentricity in geometry?

A ratio describing the shape of a conic section. Signup and view all the answers

What is an exponent?

The number of times a base occurs as a factor. Signup and view all the answers

What is an exponential function?

A function described by y = a*b^x, with b > 0 and b ≠ 1. Signup and view all the answers

What is a function in mathematics?

A relation where each x value is paired with a unique y value. Signup and view all the answers

What is an inequality?

A mathematical sentence that compares values. Signup and view all the answers

What is a logarithm?

The power to which b must be raised to be equal to x. Signup and view all the answers

What is a monomial?

A polynomial with one term. Signup and view all the answers

What is a parabola?

A U-shaped graph of a quadratic function. Signup and view all the answers

What is a polynomial?

The sum or difference of terms with variables raised to positive integer powers. Signup and view all the answers

What is power in mathematics?

The number of times an exponent indicates a factor occurs. Signup and view all the answers

What is a radical?

A symbol used to indicate a root. Signup and view all the answers

What is a vertex in geometry?

The point common to two rays of a polygon. Signup and view all the answers

What is volume in mathematics?

The amount of space occupied in three dimensions. Signup and view all the answers

What is width in geometry?

The shorter length of a two-dimensional figure. Signup and view all the answers

Study Notes

Key Algebra Terms and Definitions

Absolute Value: Represents a number's distance from zero on a number line, always a positive value.
Approximate: Refers to a number or measurement that is near its exact value.
Area: Measures the number of square units needed to cover a given surface.
Asymptote: A straight line associated with a curve, approaching zero distance as a point moves along the curve.
Axes: Horizontal and vertical number lines in a coordinate plane system.
Coefficient: The numerical factor multiplying variable(s) in an algebraic expression.
Complex Number: Expressed in the form a + bi, where a and b are real numbers and i is the square root of -1.
Composition of Functions: The act of combining two functions, where the output of one is used as the input for another, denoted as f(g(x)).
Constant: Any value that does not change across situations.
Coordinate Plane: A two-dimensional setup with horizontal and vertical lines for locating points and displaying data.
Difference: The result obtained from performing subtraction.
Dimension: Represents the number of coordinates necessary to express a position in space.
Discriminant (D): From a quadratic equation ax² + bx + c = 0, calculated as D = b² - 4ac, used to determine the number and type of solutions.
Domain: The set of independent variable values for which a function or relation is defined.
End Behavior: Refers to a function's values as its independent variable approaches extreme values.
Equal: Denotes equivalence in value.
Equation: A mathematical statement asserting that two expressions hold the same value.
Expression: A mathematical phrase involving numbers, variables, and operations without equality or inequality signs.
Factor: Numbers or expressions that multiply together to yield a product.
Formula: A rule showing the relationship between two or more quantities involving variables and/or numbers.
Height: A segment from a vertex to the base of a figure, forming a right angle.
Imaginary Part: The coefficient of "i" in a complex number.
Independent Variable: The variable represented as x on a graph.
Infinite: Describes something with no end or that continues indefinitely.
Integers: The set of whole numbers including negative numbers, zero, and positive numbers.
Intercept: Points where a curve or line intersects the axes in a graph.
Joint Variation: A scenario where a quantity varies directly with two or more other quantities.
Length: A one-dimensional measure of a line segment.
Line: An infinite collection of points extending indefinitely in both directions.
Net: A two-dimensional representation that can form a three-dimensional figure when folded.
Oblique: Tilted or angled, neither vertical nor horizontal.
Operation: Any mathematical process, such as addition or multiplication.
Point: A location in space that has no length or width.
Product: The outcome when multiplying numbers together.
Proportional: Describes two quantities that have a constant ratio.
Radius: A line segment from the center of a circle to any point on its circumference.
Real Number: Includes all rational and irrational numbers.
Real-World Problem: Mathematical concepts applied to practical, everyday situations.
Rectangle: A parallelogram characterized by having four right angles.
Remainder: The surplus portion left after division that is smaller than the divisor.
Root: A value of x such that P(x) = 0 for a polynomial P.
Rule: A statement describing how to determine terms in a pattern or relationship.
Sequence: An ordered list of numbers.
Series: The summed result of successive terms in a sequence.
Set: A collection of distinct objects where order does not matter.
Side: Refers to the edges of polygons or rays forming angles.
Simplify: The process of reducing a fraction to its simplest form.
Square: A rectangle with four equal sides.
Sum: The result obtained from adding numbers or expressions together.
Symmetry: A property indicating invariance under specific transformations.
Synthetic Division: A method for dividing polynomials by another polynomial of the first degree.
System of Equations: Multiple equations sharing variables connected to the same context.
Theorem: A statement that is proven true based on other established math concepts.
Transformation: An operation that creates a new figure from an existing one.
Triangle: A polygon comprising three sides.
Unit: A standard measurement quantity.
Variable: A symbol, typically a letter, representing a number.
Binomial Theorem: Provides a formula for expanding binomials of the form (a + b)ⁿ.
Circle: A closed figure where all points are equidistant from the center.
Conic Section: A family of curves which includes circles, ellipses, parabolas, and hyperbolas.
Degree: A unit measuring angles, representing 1/360 of a complete revolution.
Eccentricity: A ratio detailing the shape of a conic section.
Exponent: Indicates the number of times a base is used as a factor.
Exponential Function: Functions expressed in the form y = a * b^x with specific conditions for b.
Function: A relation connecting each x value to a unique y value.
Inequality: A mathematical sentence comparing values (e.g., less than, greater than).
Logarithm: The exponent to which a base must be raised to yield a particular number.
Monomial: A polynomial consisting of a single term.
Parabola: A U-shaped graph representing a quadratic function.
Polynomial: A sum or difference of terms featuring variables to positive integer powers.
Power: Indicates how many times a number is used as a factor according to the exponent.
Radical: A symbol indicating a root, such as the nth root of x.
Vertex: The common point of rays in an angle or edges of a polygon.
Volume: The three-dimensional space occupied by an object, expressed in cubic units.
Width: The shorter length of a two-dimensional figure.

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Test your understanding of key concepts in Algebra 2 with these flashcards. Each card covers essential vocabulary and definitions that are crucial for mastering the subject. Perfect for review before exams or as a study aid.