Podcast
Questions and Answers
What is the foil method used for?
What is the foil method used for?
What is a parent function?
What is a parent function?
The simplest of functions in a family
Define an arithmetic sequence.
Define an arithmetic sequence.
A numerical pattern that increases or decreases at a constant rate
What is an ordered pair?
What is an ordered pair?
Signup and view all the answers
What defines a geometric sequence?
What defines a geometric sequence?
Signup and view all the answers
What is a dependent system of equations?
What is a dependent system of equations?
Signup and view all the answers
Define bivariate data.
Define bivariate data.
Signup and view all the answers
What is an asymptote?
What is an asymptote?
Signup and view all the answers
What is direct variation?
What is direct variation?
Signup and view all the answers
Define a trinomial.
Define a trinomial.
Signup and view all the answers
What does the standard form of a linear equation look like?
What does the standard form of a linear equation look like?
Signup and view all the answers
What is the domain of a function?
What is the domain of a function?
Signup and view all the answers
Define an inconsistent system of equations.
Define an inconsistent system of equations.
Signup and view all the answers
What does it mean for lines to be perpendicular?
What does it mean for lines to be perpendicular?
Signup and view all the answers
What are integers?
What are integers?
Signup and view all the answers
What is a function?
What is a function?
Signup and view all the answers
Define scientific notation.
Define scientific notation.
Signup and view all the answers
What is a perfect square?
What is a perfect square?
Signup and view all the answers
What is the rate of change in mathematics?
What is the rate of change in mathematics?
Signup and view all the answers
What is the slope-intercept form of a linear equation?
What is the slope-intercept form of a linear equation?
Signup and view all the answers
What is a system in terms of equations?
What is a system in terms of equations?
Signup and view all the answers
What are parallel lines?
What are parallel lines?
Signup and view all the answers
Define the x-intercept.
Define the x-intercept.
Signup and view all the answers
What is zero in terms of functions?
What is zero in terms of functions?
Signup and view all the answers
What is the range of a function?
What is the range of a function?
Signup and view all the answers
What is the constant of variation in direct variation?
What is the constant of variation in direct variation?
Signup and view all the answers
Define an independent system of equations.
Define an independent system of equations.
Signup and view all the answers
What does it mean for a system to be consistent?
What does it mean for a system to be consistent?
Signup and view all the answers
What is a discrete function?
What is a discrete function?
Signup and view all the answers
What is the origin in a coordinate plane?
What is the origin in a coordinate plane?
Signup and view all the answers
What is the axis of symmetry in a parabola?
What is the axis of symmetry in a parabola?
Signup and view all the answers
Define a parabola.
Define a parabola.
Signup and view all the answers
What is a radicand?
What is a radicand?
Signup and view all the answers
What is a coordinate plane?
What is a coordinate plane?
Signup and view all the answers
What is the vertical line test?
What is the vertical line test?
Signup and view all the answers
What does it mean to discriminate in the context of quadratic equations?
What does it mean to discriminate in the context of quadratic equations?
Signup and view all the answers
What is the point-slope form of a linear equation?
What is the point-slope form of a linear equation?
Signup and view all the answers
Define a continuous function.
Define a continuous function.
Signup and view all the answers
What does it mean for a function to be non-linear?
What does it mean for a function to be non-linear?
Signup and view all the answers
Define a binomial.
Define a binomial.
Signup and view all the answers
What is a vertex in relation to a parabola?
What is a vertex in relation to a parabola?
Signup and view all the answers
Study Notes
Algebra Vocabulary
- Foil: A method for multiplying two binomials, producing four products which are then combined.
- Parent Function: The simplest function in a family that serves as a prototype for more complex functions.
- Arithmetic Sequence: A numerical pattern with a consistent increase or decrease (common difference) between terms.
- Ordered Pair: A pair of numbers (x, y) used to locate a point on a coordinate plane.
- Geometric Sequence: A sequence where each term is found by multiplying the previous term by a fixed, non-zero number (common ratio).
- Dependent: Refers to a system of equations with an infinite number of solutions, indicating a line overlap.
- Bivariate: Data involving two variables, often used in statistical analysis.
- Asymptote: A line that a graph approaches but never touches, indicating the behavior of a function as it diverges.
- Direct Variation: A linear equation that passes through the origin, expressed as y = kx, where k is a constant.
- Trinomial: A polynomial composed of three terms, often expressed in the form ax^2 + bx + c.
- Standard Form: The standard expression of a linear equation, represented as Ax + By = C.
- Domain: The set of possible x-values for a given relation or function.
- Inconsistent: Refers to a system of equations with no solution, indicating parallel lines that never intersect.
- Perpendicular: Lines with slopes that are opposite reciprocals, intersecting at right angles.
- Integers: The set of whole numbers and their negatives, covering both positive and negative values.
- Function: A relation where each input (x-value) corresponds to exactly one output (y-value).
- Scientific Notation: A method to express very large or small numbers, using powers of ten.
- Perfect Square: A rational number whose square root is an integer, such as 1, 4, 9, 16.
- Rate of Change: Another term for slope, representing the change in y over the change in x.
- Slope Intercept Form: A way to express linear equations as y = mx + b, where m is the slope and b is the y-intercept.
- System: A collection of equations or inequalities that share the same variables.
- Parallel: Lines that have the same slope but differ in y-intercept, thus never intersecting.
- X-Intercept: The point where a graph crosses the x-axis, indicating the values of x when y=0.
- Zero: Also referred to as the x-intercept, representing the solution of a function where y=0.
- Range: The set of possible y-values for a function or relation.
- Constant of Variation: The constant 'k' in direct variation equations, indicating the proportional relationship.
- Independent: A system of equations that has exactly one solution, meaning the lines intersect at a single point.
- Consistent: Refers to a system of equations that has at least one solution, indicating a solution exists.
- Discrete Function: A function made up of isolated points that are not connected.
- Origin: The point (0,0) where the x-axis and y-axis intersect on a graph.
- Axis of Symmetry: The vertical line that runs through the vertex of a parabola, dividing it into two mirror-image halves.
- Parabola: The U-shaped graph representing a quadratic function, defined by the equation y = ax^2 + bx + c.
- Radicand: The expression that lies under the radical sign in square roots or other root expressions.
- Coordinate Plane: A two-dimensional plane formed by the intersection of the x-axis and y-axis.
- Vertical Line Test: A method to determine if a relation qualifies as a function by checking if any vertical line intersects the graph at more than one point.
- Discriminant: The expression under the radical sign in the quadratic formula, used to determine the nature of roots.
- Point-Slope Form: A linear equation represented as y - y1 = m(x - x1), where (x1, y1) is a known point on the line.
- Continuous Function: A function with points that can be joined by a line or smooth curve without breaks.
- Non-linear: Functions that do not produce straight lines on a graph, often involving quadratic or higher degree equations.
- Binomial: A polynomial that consists of two terms, such as a + b.
- Vertex: The maximum or minimum point of a parabola, representing its highest or lowest value.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your understanding of essential algebra vocabulary with these flashcards. Cover terms like 'foil', 'parent function', and more. Perfect for students looking to reinforce their knowledge in algebra.
