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# Algebra Vocabulary Flashcards

Created by
@HandsomeVariable

## Questions and Answers

### What is the foil method used for?

• Subtracting two binomials
• Multiplying two binomials (correct)
• Adding two binomials
• Dividing two binomials
• ### 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?

<p>A pair of numbers that can be used to locate a point on a coordinate plane</p> Signup and view all the answers

### What defines a geometric sequence?

<p>A sequence in which each term is found by multiplying the previous term by the same number</p> Signup and view all the answers

### What is a dependent system of equations?

<p>A system of equations that has an infinite number of solutions</p> Signup and view all the answers

### Define bivariate data.

<p>Data with 2 variables</p> Signup and view all the answers

### What is an asymptote?

<p>A line that a graph approaches</p> Signup and view all the answers

### What is direct variation?

<p>A linear equation that runs through the origin</p> Signup and view all the answers

### Define a trinomial.

<p>A polynomial with 3 terms</p> Signup and view all the answers

### What does the standard form of a linear equation look like?

<p>Ax + By = C</p> Signup and view all the answers

### What is the domain of a function?

<p>The x values of a relation</p> Signup and view all the answers

### Define an inconsistent system of equations.

<p>A system of equations that has no solutions</p> Signup and view all the answers

### What does it mean for lines to be perpendicular?

<p>Lines with opposite reciprocal slopes</p> Signup and view all the answers

### What are integers?

<p>The set of whole numbers and their opposites</p> Signup and view all the answers

### What is a function?

<p>A relation in which each input has exactly one output</p> Signup and view all the answers

### Define scientific notation.

<p>A way to write really big and really small numbers</p> Signup and view all the answers

### What is a perfect square?

<p>A rational number whose square root is a whole number</p> Signup and view all the answers

### What is the rate of change in mathematics?

<p>Another word for slope</p> Signup and view all the answers

### What is the slope-intercept form of a linear equation?

<p>y = mx + b</p> Signup and view all the answers

### What is a system in terms of equations?

<p>A set of equations or inequalities with the same variables</p> Signup and view all the answers

### What are parallel lines?

<p>Lines with the same slopes but different y-intercepts</p> Signup and view all the answers

### Define the x-intercept.

<p>The point where a graph crosses the x-axis</p> Signup and view all the answers

### What is zero in terms of functions?

<p>Another name for the x-intercept or solution of a function</p> Signup and view all the answers

### What is the range of a function?

<p>The y-values of a relation</p> Signup and view all the answers

### What is the constant of variation in direct variation?

<p>The name for k in direct variation</p> Signup and view all the answers

### Define an independent system of equations.

<p>A system of equations with exactly one solution</p> Signup and view all the answers

### What does it mean for a system to be consistent?

<p>A system of equations with at least 1 solution</p> Signup and view all the answers

### What is a discrete function?

<p>A function with points that are not connected</p> Signup and view all the answers

### What is the origin in a coordinate plane?

<p>The point where the axes intersect on a graph</p> Signup and view all the answers

### What is the axis of symmetry in a parabola?

<p>The vertex line containing the vertex of a parabola</p> Signup and view all the answers

### Define a parabola.

<p>The graph of a quadratic function</p> Signup and view all the answers

### What is a radicand?

<p>The expression that is under the radical sign</p> Signup and view all the answers

### What is a coordinate plane?

<p>The plane containing the x and y axes</p> Signup and view all the answers

### What is the vertical line test?

<p>A way to determine if a graph is a function or not</p> Signup and view all the answers

### What does it mean to discriminate in the context of quadratic equations?

<p>The expression under the radical sign in the quadratic formula</p> Signup and view all the answers

### What is the point-slope form of a linear equation?

<p>y - y1 = m(x - x1)</p> Signup and view all the answers

### Define a continuous function.

<p>A function with points that can be connected by a line or smooth curve</p> Signup and view all the answers

### What does it mean for a function to be non-linear?

<p>A function that does not make a straight line</p> Signup and view all the answers

### Define a binomial.

<p>A polynomial with two terms</p> Signup and view all the answers

### What is a vertex in relation to a parabola?

<p>The maximum or minimum point in a parabola</p> 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.

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## 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.

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