Questions and Answers
What is the foil method used for?
What is a parent function?
The simplest of functions in a family
Define an arithmetic sequence.
A numerical pattern that increases or decreases at a constant rate
What is an ordered pair?
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What defines a geometric sequence?
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What is a dependent system of equations?
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Define bivariate data.
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What is an asymptote?
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What is direct variation?
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Define a trinomial.
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What does the standard form of a linear equation look like?
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What is the domain of a function?
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Define an inconsistent system of equations.
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What does it mean for lines to be perpendicular?
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What are integers?
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What is a function?
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Define scientific notation.
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What is a perfect square?
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What is the rate of change in mathematics?
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What is the slope-intercept form of a linear equation?
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What is a system in terms of equations?
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What are parallel lines?
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Define the x-intercept.
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What is zero in terms of functions?
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What is the range of a function?
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What is the constant of variation in direct variation?
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Define an independent system of equations.
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What does it mean for a system to be consistent?
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What is a discrete function?
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What is the origin in a coordinate plane?
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What is the axis of symmetry in a parabola?
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Define a parabola.
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What is a radicand?
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What is a coordinate plane?
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What is the vertical line test?
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What does it mean to discriminate in the context of quadratic equations?
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What is the point-slope form of a linear equation?
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Define a continuous function.
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What does it mean for a function to be non-linear?
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Define a binomial.
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What is a vertex in relation to a parabola?
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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.
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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.