vocabulary for Algebra 1
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| Coefficient | The number in front of a variable in an algebraic term (a constant)
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| Dependent Variable | An output value that depends on the value of the independent variable
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| Distributive | Every term inside grouping symbols is multiplied by the term immediately outside
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| Expression | A group of signed terms (no equal sign)
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| Function | Relationship in which one value depends on the other (input & output)
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| Independent Variable | The input value in a function which is subject to choice and determines the result (output)
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| Identity Property | Adding zero or multiplying by one results in the same value
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| Inequality | A statement that has 2 sides with one less or greater than another; there must be an inequality sign
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| Like Terms | Algebraic expressions having the same variable and power, so they can be add or subtracted
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| Radical Sign | The symbol used to indicate the root of a number
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| Simplest Form | An expression having no like terms or parentheses
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| Solution Set | Any and all values of the variables that satisfies an equation, inequality , or system
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| Solve | To find all solutions to an equation, inequality, or system
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| Term | Signed product of a constant and variable
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| Variable | Symbol or letter representing an unknown or changing value
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| Formula | Equation that states a rule for the relationship between certain quantities
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| Domain | Set of values of the independent variable (x-values)
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| Function Notation | The equation y = 3x - 8 is written as f(x) = 3x - 8
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| Inverse Relations | Switching x and y variables
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| Linear Equation | Can be represented by a straight-line graph
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| Range | Set of all values of the dependent variable (y-values) resulting from all possible x-values
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| Standard Form | A linear equation of the form Ax + By = C
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| Vertical Line Test | A test to determine if any x value corresponds to more than one y value on a graph (not a function)
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| X-Intercept | The x-coordinate at which a graph intersects the x-axis
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| Y-Intercept | The y-coordinate at which a graph intersects the y-axis
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| Constant of Variation | The rate of change in a direct variation function usually represented by k
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| Direct Variation | A function in which one variable changes at a constant rate as the other variable changes (y = kx)
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| Negative Reciprocal | Flipped ratio with opposite sign
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| Parallel | Lines that never intersect and have the same slope
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| Parent Function | Cuts the coordinate plane diagonally through the origin with slope of 1 (y = x)
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| Perpendicular | Lines that intersect to form right angles, having slopes that are negative reciprocals of each other
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| Point Slope Form | A form used to find an unknown point, given one point and slope
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| Rate of Change | Shows how quantities change in relation to each other
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| Slope | The difference in y coordinates divided by the difference in x coordinates of any 2 points (rise
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| Slope-Intercept Form | An equation in the form y = mx + b, where m is the slope and be is the y-intercept
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| Elimination | Using addition or subtraction to remove one variable and solve systems
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| Infinite Solutions | Equations for the same line having the same solutions to infinity
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| No Solutions | Equations of parallel lines with no solutions in common
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| Substitution | Using the value of one variable to solve a system of equations
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| System of Equations | Set of equations with the same variables
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| Absolute Value | The positive distance to zero on the number line
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| Compound Inequality | 2 or more inequalities connected by “and” or “or”
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| Set-Builder Notation | The set {x : x > 0} or {x | x > 0} are read aloud, "the set of all x such that x is greater than 0."
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| Binomial | Expression with 2 unlike terms joined by + or -
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| Constant | A term that has a fixed value and does not contain a variable
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| Degree | Sum of exponents in a monomial; greatest degree in a polynomial
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| FOIL Method | Distributing 2 binomials by multiplying the first terms, the outer terms, the inner terms, then the last terms; like terms are then combined
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| Monomial | Number, variable, or product of number and variable
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| Negative Exponent | Way of indicating reciprocals
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| Polynomial | Monomial or sum of monomials
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| Power of a Power | A power raised to a power multiplies the exponents
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| Trinomial | Sum of 3 monomials
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| Zero Exponent | Following a pattern of exponents, anything to the zero power is 1
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| Factoring | Writing a number as a product of its factors in order to solve for an unknown
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| Greatest Common Factor | Largest integer that will divide evenly into each of a given set of numbers
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| Zero Product Property | If the product of 2 or more factors is zero, at least 1 of the factors must equal zero
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| Axis of Symmetry | Part of the graph on one side of a line is a reflection of the part on the other side
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| Completing the Square | Number is added to both sides of the equation so that one side is a perfect square
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| Exponential Decay | Decrease in number or size at a constantly growing rate
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| Exponential Function | A function whose value is a constant raised to the power which is a variable
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| Exponential Growth | Increase in number or size, at a constantly growing rate
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| Maximum | Highest point on the graph of a curve
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| Minimum | Lowest point on the graph of a curve
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| Parabola | Graph of a quadratic function having a U shape
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| Quadratic Equation | Second degree polynomial
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| Quadratic Formula | formula in the form for finding roots of the quadratic equation
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| Quadratic Function | Large part of mathematical relationships of the world (i.e. area & gravity) graphs as a parabola
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| Roots | Solution(s) of a quadratic equation
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| Vertex | Maximum or minimum point of a parabola
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| Zeros | X and y intercepts found by solving for x = 0 and y = 0
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