A letter that is used to represent one or more numbers.
An expression that includes at least one variable.
An expression that represents repeated multiplication of the same factor.
Base of a Power
The number or expression that is used as a factor in a repeated multiplication.
The number or variable that represents the number of times the base of a power is used as a factor.
Order of Operations
Rules for evaluating an expression involving more than one operation.
Describes real-world situation using words as labels and using math symbols to relate the words.
A fraction that compares two quantities measured in different units.
A rate in which the denominator of the fraction is 1 unit.
An equation or an inequality that contains an algebraic expression.
a mathematical sentence formed by placing the = between two expressions.
A mathematical sentence formed by placing one of the symbols <, >, ≤,or ≥ between two expressions.
Solution of an Equation
A number that produces a true statement when substituted for the variable in the equation.
Solution of an Inequality
A number that produces a true statement when it is substituted for the variable in the inequality.
An equation that relates two or more quantities.
It consists of:
1. A set called the domain containing numbers called inputs, and a set called the range containing numbers called outputs.
2. A pairing of inputs with outputs such that each input is paired with exactly one output.
The set of all inputs of a function.
The set of all outputs of a function
The input variable of a function.
The output variable of a function.
Any pairing of a set of inputs with a set of outputs.
The numbers 0,1,2,3...
The numbers ...-3,-2,-1,0,1,2,3...
A number that can be written as a/b where a and b are integers and b is not equal to 0.
Two numbers that are the same distance from zero on a number line but are on opposite sides of 0.
The distance between a number and 0 on a number line.
A statement with a hypothesis and a conclusion
A collection of distinct objects.
Element of a Set
Each object in a set.
A set with no elements.
The set of all elements under consideration.
Of two sets A and B is the set of all elements in either A or B written in A U B.
Of two sets A and B is the set of all elements in both A and B written in A (upside down U) B
Complement of a Set
Of set A is the set of all elements in the universal set U that are not in A.
Cross Product of Two Sets
Of two sets A and B, written as A X B, is the set of all possible ordered pairs of the form (x,y) where x is an element of A and y is an element of B.
The number 0, because the sum of any number and 0 is the number.
The opposite of a number, the sum of a number and its opposite is 0.
The number 1, because the product of any number and 1 is the number.
Two expressions that have the same value for all values of the variable.
A property that can be used to find the product of a number and a sum or difference.
The parts of an expression that are added together.
The number part of a term with a variable part.
A term with a number part but no variable part.
Terms that have the same variable parts.
The reciprocal of a nonzero number.
A number that when multiplied by itself equals a given number.
The number or expression inside a radical symbol.
A number that is the square of an integer.
A number that cannot be written as the quotient of two integers.
The set of all rational and irrational numbers.
A number that when multiplied three times equals a given number.
Two operations that undo each other.
Equations that have the same solution.
An equation that is true for all values of the variable.
A comparison of two numbers using division.
An equation that states that two ratios are equivalent.
The product of the numerator of one ratio and the denominator of the other ratio.
A two-dimensional drawing in which the dimensions of the drawing are in proportion to the dimensions of the object.
A three-dimensional model in which the dimensions of the model are in proportion to the dimensions of the object.
A ratio that relates the dimensions of a scale drawing or model and the actual dimensions.
Percent of Change
A percent that indicates how much a quantity increases or decreases with respect to the original amount.
Percent of Increase
The percent of change in a quantity when the new amount of the quantity is greater than the original amount.
Percent of Decrese
The percent of change in a quantity when the new amount of the quantity is less that the original amount.
An equation in which letters are used to replace the coefficients and constants of another equation.
The four regions into which the coordinate plane is dived by the x-axis and the y-axis.
It produces an image by applying a rule to the coordinates of each point on the graph.
It moves every point on a graph the same distance in the same direction
Moves a point away from the x-axis.
Moves a point toward the x-axis.
Flips a point in a line.
Standard Form of a Linear Equation
Ax + By = C, where A,B, and C are real numbers and A and B are not both zero.
The equation Ax + By = C provided B does not equal 0.
A function with a graph that consists of isolated points.
A function with a graph that is unbroken.
The x-coordinate of the point where a graph crosses the x-axis.
The y-coordinate of a point where a graph crosses the y-axis.
The ratio of the vertical change to the horizontal change between any two points (x₁,y₁) and (x₂,y₂) on the line.
Rate of Change
A comparison of a change in one quantity with a change in another quantity.
y=mx+b where m is the slope and b is the y-intercept of the equation's graph.
Two lines in the same plane that do not intersect.
The relationship of two variable x and y if there is a nonzero number a such that y =ax.
Constant of Variation
The nonzero constant a in a direct or inverse variation equation.
A way to name a function using the symbol f(x) instead of y.
Family of Functions
A group of functions with similar characteristics.
Parent Linear Function
The function f(x) = x, which is the most basic function in the family of linear functions.
y − y₁= m(x − x₁) that passes through a given point (x₁, y₁) with a slope of m.
An ordered list of numbers.
A sequence in which the difference between consecutive terms is constant.
The constant difference between consecutive terms of an arithmetic sequence.
The statement formed by interchanging the hypothesis and conclusion of the conditional.
Two lines in the same planes that intersect to form a right angle.
A graph used to determine whether there is a relationship or trend between paired data.
The relationship between paired data.
Line of Fit
A line used model the trend in data having a positive or negative correlation.
The line that most closely follows a trend in data.
The process of finding the best-fitting line to model a set of data.
Using a line or its equation to approximate a value between two known values.
Using a line or its equation to approximate a value outside the range of known values
Zero of a Function
An x-value for which f(x) = 0.
Graph of an Inequality
On a number line, the set of points that represent all solutions of the inequality.
Inequalities that have the same solution
Two inequalities joined by "and" or "or"
Absolute Value Equation
An equation that contains an absolute value expression.
A number x from a given value is the absolute value of the difference of x and the given value.
Linear Inequality in Two Variables
An inequality that is the result of replacing the = sign in a linear equation with <, ≤, >, or ≥.
Graph of an Inequality in Two Variables
In a coordinate plane, the set of points that represent all solutions of the inequality.
System of Linear Equations
Two or more linear equations in the same variables.
Solution of a System of Linear Equations
An ordered pair that is a solution of each equation in the system.
Consistent Independent System
A linear system with exactly one solution.
A linear system with no solution.
Consistent Dependent System
A linear system with infinitely many solutions.
System of Linear Inequalities
Two or more linear inequalities in the same variables.
Solution of a System of Linear Inequalities
An ordered pair that is a solution of each inequality in the system.
Graph of a System of Linear Inequalities
The graph of all solutions of the system.
Order of Magnitude
The power of 10 nearest the quantity.
Numbers are written in the form c x 10^n where 1≤c<10 and n is an integer.
A number, variable, or the product of a number and one or more variables with whole number exponents.
Degree of a Monomial
The sum of the exponents of the variables in the monomial
Degree of a Polynomial
The greatest degree of the terms of the polynomial.
A monomial or sum of monomials.
The coefficient of the forest term.
A polynomial with two terms.
A polynomial with three terms.
The solutions of a polynomial equation.
Vertical Motion Model
A model for the height of an object that is propelled into the air but has no power to keep itself up in the air.
Perfect Square Trinomial
Trinomials of the form a²+2ab+b² or a²- 2ab+b².
Factor by Grouping
Factor a common monomial from pairs of terms and then look for a common binomial factor.
A factorable polynomial with integer coefficients when it is written as a product of unfactorable polynomials with integer coefficients.
A nonlinear function that can be written in the standard form y=ax²+bx+c where a≠0.
The U-shaped graph of a quadratic function.
Parent Quadratic Function
The function y=x².
The lowest or highest point on a parabola.
Axis of Symmetry
The line that passes through the vertex and divides the parabola into two symmetric parts.
The y-coordinate of the vertex for y= ax²+bx+c, where a>0.
The y-coordinate of the vertex for y=ax²+bx+c when a<0.
Intercept Form of a Quadratic Function
A quadratic function in the form y=a(x-p)(x-q).
An equation that can be written in the standard form ax² + bx + c = 0, where a ≠ 0.
Completing the Square
The process of rewriting a quadratic expression so that it is a perfect square trinomial.
Vertex Form of a Quadratic Function
A quadratic function in the form y=a(x-h)²+k.
The formula x=(-b±√b²-4ac)/2a can be used to find the solutions of the quadratic equation ax²+bx+c=0 where a≠0 and b²-4ac≥0
The expression b² - 4ac of the associated equation ax² + bx + c = 0.
Simplest Form of Radical Expression
A radical expression that has no perfect square factors other than 1 in the radicand, no fractions in the radicand, and no radicands appearing in the denominator of the fraction.
Rationalizing the Denominator
The process of eliminating a radical from an expression's denominator.
The relationship of two variables x and y if there is a nonzero number a such that y=a/x
The graph of the inverse variation equation y=a/x.
Branches of a Hyperbola
The two symmetrical parts of a hyperbola.
Asymptotes of a Hyperbola
Lines that a hyperbola approaches but does not intersect.
An expression that can be written as the ratio of two polynomials where the denominator is not 0.
A number that makes a rational expression undefined.