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?

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

What are axes in a coordinate plane?

<p>The horizontal and vertical number lines used.</p> Signup and view all the answers

What is a coefficient?

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

What is a complex number?

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

What does composition of functions mean?

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

What is a constant?

<p>Any value that does not change.</p> Signup and view all the answers

What is a coordinate plane?

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

What is the difference in mathematics?

<p>A number that is the result of subtraction.</p> Signup and view all the answers

What does dimension refer to?

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

What is the discriminant?

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

What is a domain in mathematics?

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

What does end behavior refer to in a function?

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

What does it mean for two values to be equal?

<p>Having the same value.</p> Signup and view all the answers

What is an equation?

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

What is an expression in mathematics?

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

What is a factor?

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

What is a formula in mathematics?

<p>A rule that shows the relationships between quantities.</p> Signup and view all the answers

What does height refer to in geometry?

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

What is the imaginary part of a complex number?

<p>The coefficient of i in a complex number.</p> Signup and view all the answers

What is an independent variable?

<p>The variable representing the x variable on a graph.</p> Signup and view all the answers

What does infinite mean?

<p>Has no end or goes on forever.</p> Signup and view all the answers

What are integers?

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

What is an intercept in mathematics?

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

What is joint variation?

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

What is length?

<p>A one-dimensional measure of line segments.</p> Signup and view all the answers

What is a line?

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

What is a net in geometry?

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

What does oblique mean?

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

What is an operation in mathematics?

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

What is a point in geometry?

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

What is a product in mathematics?

<p>The result of multiplying numbers together.</p> Signup and view all the answers

What does proportional mean?

<p>Having the same or constant ratio.</p> Signup and view all the answers

What is a radius?

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

What is a real number?

<p>The set of all rational and irrational numbers.</p> Signup and view all the answers

What is a real-world problem in mathematics?

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

What is a rectangle?

<p>A parallelogram with four right angles.</p> Signup and view all the answers

What is a remainder?

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

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

<p>Root</p> Signup and view all the answers

What is a rule in mathematics?

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

What is a sequence?

<p>A list of numbers set apart by commas.</p> Signup and view all the answers

What is a series in mathematics?

<p>An indicated sum of successive terms of a sequence.</p> Signup and view all the answers

What is a set in mathematics?

<p>A finite or infinite collection of distinct objects.</p> Signup and view all the answers

What is a side in geometry?

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

What does it mean to simplify a fraction?

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

What is a square?

<p>A rectangle with four congruent sides.</p> Signup and view all the answers

What is a sum in mathematics?

<p>The result of adding numbers or expressions together.</p> Signup and view all the answers

What is symmetry?

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

What is synthetic division?

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

What is a system of equations?

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

What is a theorem?

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

What does transformation refer to in geometry?

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

What is a triangle?

<p>A polygon with three sides.</p> Signup and view all the answers

What is a unit in measurement?

<p>A determinate quantity adopted as a standard.</p> Signup and view all the answers

What is a variable?

<p>Any symbol that can represent a number.</p> Signup and view all the answers

What is the Binomial Theorem?

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

What is a circle in geometry?

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

What are conic sections?

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

What is a degree in terms of measurement?

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

What is eccentricity in geometry?

<p>A ratio describing the shape of a conic section.</p> Signup and view all the answers

What is an exponent?

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

What is an exponential function?

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

What is a function in mathematics?

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

What is an inequality?

<p>A mathematical sentence that compares values.</p> Signup and view all the answers

What is a logarithm?

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

What is a monomial?

<p>A polynomial with one term.</p> Signup and view all the answers

What is a parabola?

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

What is a polynomial?

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

What is power in mathematics?

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

What is a radical?

<p>A symbol used to indicate a root.</p> Signup and view all the answers

What is a vertex in geometry?

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

What is volume in mathematics?

<p>The amount of space occupied in three dimensions.</p> Signup and view all the answers

What is width in geometry?

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

Flashcards

Absolute Value

A number's distance from zero on a number line; always positive.

Approximate

Near the exact value; not precise.

Area

Space covered by a flat surface, measured in square units.

Asymptote

A line a curve approaches but never touches.

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Axes

Horizontal (x-axis) and vertical (y-axis) lines in a graph.

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Coefficient

The number in front of a variable in an expression.

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Complex Number

A number of the form a + bi, where a and b are real numbers and i is √-1

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Composition of Functions

Combining functions, where the output of one is input for another.

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Constant

A value that does not change.

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Coordinate Plane

A two-dimensional graph with x and y axes.

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Difference

Result of subtraction.

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Dimension

Number of coordinates needed to locate a point.

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Discriminant

(D) = b² - 4ac used to find the type of solutions to a quadratic equation.

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Domain

Set of all possible input values for a function.

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End Behavior

How a function behaves as the input gets very large or very small.

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Equal

Having the same value.

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Equation

A mathematical statement saying two expressions are equal.

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Expression

A combination of numbers, variables, and math operations.

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Factor

Numbers or expressions multiplied together.

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Formula

A rule relating quantities.

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Height

Distance from a vertex to a base at a right angle.

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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.

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