Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# 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