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