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Absolute Value WORD: DEFINITION: The PAGES: WORD: distance from zero, distance is always positive. EXAMPLE(S) COUNTEREXAMPLE(S): DEFINITION: Angle than WORD: EXAMPLE(S): but less . EXAMPLE(S): function whose rule contains an absolute value expression. COUNTEREXAMPLE(S): Alternate Exterior Angles in the same plane that have a common vertex and common side. EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Alternate Interior Angles two lines cut by a transversal, a pair of angles that lies on opposite sides of the transversal and outside the other two lines. DEFINITION: For EXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): PAGES: DEFINITION: Angles PAGES: DEFINITION: For COUNTEREXAMPLE(S): Adjacent Angles WORD: that measures greater than PAGES: DEFINITION: A PAGES: Acute Angle WORD: Absolute Value Function PAGES: two lines cut by a transversal, a pair of nonadjacent angles that lie on opposite sides of the transversal and between the other two lines. COUNTEREXAMPLE(S): WORD: Arithmetic Sequence PAGES: WORD: DEFINITION: a Associative Property sequence whose successive terms have a common difference (like a linear function). DEFINITION: (a+b)+c=a+(b+c) EXAMPLE(S) EXAMPLE(S): COUNTEREXAMPLE(S): PAGES: Asymptote WORD: and (a*b)*c=a*(b*c) COUNTEREXAMPLE(S): Axis of Symmetry WORD: PAGES: PAGES: DEFINITION: a line that a graph gets closer to as the value of DEFINITION: a line that divides a figure into two congruent a variable becomes extremely large or extremely small. halves. EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Biased Question DEFINITION: a PAGES: question that leads people to give a certain answer. EXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): WORD: COUNTEREXAMPLE(S): Biased Sample PAGES: DEFINITION: a sample that does not fairly represent the population. EXAMPLE(S): COUNTEREXAMPLE(S): PAGES: WORD: Binomial DEFINITION: a polynomial with two terms. EXAMPLE(S) Boundary Line WORD: DEFINITION: to COUNTEREXAMPLE(S): EXAMPLE(S): PAGES: WORD: DEFINITION: a DEFINITION: a EXAMPLE(S): EXAMPLE(S): WORD: Coefficient DEFINITION: the EXAMPLE(S): WORD: COUNTEREXAMPLE(S): COUNTEREXAMPLE(S): PAGES: method of showing data that utilizes the median, minimum, maximum, and quartiles. PAGES: number that is multiplied by a variable. divide into two congruent parts. Box and Whisker Plot line that divides a coordinate plane into two half-planes. COUNTEREXAMPLE(S): PAGES: Bisect WORD: COUNTEREXAMPLE(S): Common Difference PAGES: DEFINITION: in an arithmetic sequence, the nonzero constant difference between any term and the pervious term. EXAMPLE(S): COUNTEREXAMPLE(S): Common Ratio WORD: PAGES: WORD: DEFINITION: in Commutative Property a geometric sequence, the constant ratio of any term to the previous term. DEFINITION: a+b=b+a EXAMPLE(S) EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Complementary Angles DEFINITION: two PAGES: WORD: angles whose measure have a sum of . and a*b=b*a COUNTEREXAMPLE(S): Completing the Square DEFINITION: a WORD: COUNTEREXAMPLE(S): Complex Fraction EXAMPLE(S): PAGES: DEFINITION: a WORD: DEFINITION: a EXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): add COUNTEREXAMPLE(S): Composite Figure fraction that contains one or more fractions within the numerator and/or denominator. PAGES: process used to form a perfect-square trinomial. to complete the square of EXAMPLE(S): PAGES: PAGES: figure made up of multiple shapes. COUNTEREXAMPLE(S): . WORD: Compound Interest PAGES: WORD: Compound Inequality earned or paid on principal and previously earned or paid interest. DEFINITION: two EXAMPLE(S) EXAMPLE(S): DEFINITION: interest COUNTEREXAMPLE(S): COUNTEREXAMPLE(S): three-dimensional figure with one vertex and one circular base. DEFINITION: having EXAMPLE(S): EXAMPLE(S): WORD: COUNTEREXAMPLE(S): DEFINITION: a EXAMPLE(S): WORD: value that does not change. COUNTEREXAMPLE(S): the same size and shape, denoted with . PAGES: Constant PAGES: Congruent WORD: DEFINITION: a inequalities that are combined into one statement. PAGES: Cone WORD: PAGES: COUNTEREXAMPLE(S): Coordinate Plane PAGES: DEFINITION: a plane formed by the intersection or a horizontal number line and a vertical number line. EXAMPLE(S): COUNTEREXAMPLE(S): PAGES: Correlation WORD: DEFINITION: the WORD: description of the relationship between two data sets. EXAMPLE(S) WORD: COUNTEREXAMPLE(S): Cube (geometric) DEFINITION: a PAGES: DEFINITION: for two lines cut by a transversal, a pair of angles that lie on the same side of the transversal and on the same side of the other two lines. EXAMPLE(S): PAGES: WORD: rectangular prism with six congruent square Corresponding Angles COUNTEREXAMPLE(S): Cube (numeration) DEFINITION: a PAGES: number raised to the third power. faces. EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Cube Root DEFINITION: a EXAMPLE(S): number, written EXAMPLE(S): PAGES: WORD: , whose cube is x. COUNTEREXAMPLE(S): COUNTEREXAMPLE(S): Cylinder PAGES: DEFINITION: a three-dimensional figure with two parallel, congruent circular bases connected by a curved lateral surface. EXAMPLE(S): COUNTEREXAMPLE(S): WORD: Dependent Events PAGES: WORD: DEFINITION: events Dependent Variable for which the occurrence or nonoccurrence of one even affects the probability of the other event. DEFINITION: the EXAMPLE(S) EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Degree of a Polynomial DEFINITION: the WORD: polynomial. EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Discriminant output of a function; a variable whose value depends on the value of the input, or independent variable. PAGES: highest power of the variable in a COUNTEREXAMPLE(S): Difference of Two Squares DEFINITION: a polynomial of the form written as the product EXAMPLE(S): PAGES: DEFINITION: the WORD: PAGES: which may be . COUNTEREXAMPLE(S): Domain discriminant of a quadratic equation is ; it tells how many real solutions the quadratic function will have. DEFINITION: the EXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): PAGES: PAGES: set of all inputs/x-values of a relation or function. COUNTEREXAMPLE(S): WORD: Element/Entry DEFINITION: each COUNTEREXAMPLE(S): EXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): Experimental Probability PAGES: DEFINITION: the ratio of the number of times an event occurs to the number of trials an activity/experiment is performed. COUNTEREXAMPLE(S): Exponent PAGES: method of solving systems of equations in which one variable is eliminated by adding or subtracting two equations of the system. WORD: set with no elements. Elimination Method DEFINITION: a PAGES: Empty Set DEFINITION: a WORD: WORD: member in a set or matrix. EXAMPLE(S) WORD: PAGES: EXAMPLE(S): PAGES: WORD: DEFINITION: the COUNTEREXAMPLE(S): Exponential Decay PAGES: number that indicates how many times the base is used as a factor. exponential function of the form in which . is the initial value and is the decay factor. EXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): DEFINITION: an COUNTEREXAMPLE(S): WORD: Exponential Function DEFINITION: a function of the form are real numbers, , , and EXAMPLE(S) WORD: PAGES: WORD: , where . and COUNTEREXAMPLE(S): DEFINITION: an in which factor. WORD: PAGES: exponential function of the form . is the initial value and is the growth EXAMPLE(S): PAGES: Factoring Exponential Growth COUNTEREXAMPLE(S): Fibonacci Sequence PAGES: process of writing a number of algebraic expression as a product of factors. in which each term is the sum of the two previous terms. Named for thirteenth century mathematician Leonardo Fibonacci. EXAMPLE(S): EXAMPLE(S): DEFINITION: the WORD: COUNTEREXAMPLE(S): First Quartile DEFINITION: the infinite sequence of numbers PAGES: DEFINITION: the WORD: median of the lower half of a data set, denoted Q1. Also called “lower quartile.” DEFINITION: a EXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): COUNTEREXAMPLE(S): FOIL PAGES: memory device for multiplying two binomials. FIRST, OUTSIDE, INSIDE, LAST. COUNTEREXAMPLE(S): PAGES: Function WORD: WORD: DEFINITION: a Function Notation relation in which every domain value is paired with exactly one range value. DEFINITION: if EXAMPLE(S) EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Geometric Sequence is the independent variable and is the dependent variable, then the function notation for is , which reads “ .” PAGES: COUNTEREXAMPLE(S): sequence in which the ratio of successive terms is a constant , called the common ratio, where . DEFINITION: the EXAMPLE(S): EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Independent Events side opposite the right angle in a right triangle. The longest side of any right triangle. PAGES: DEFINITION: events WORD: COUNTEREXAMPLE(S): Independent Variable for which the occurrence or nonoccurrence of one event does not affect the probability of the other events. DEFINITION: the EXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): PAGES: Hypotenuse WORD: DEFINITION: a PAGES: PAGES: input in a function; a variable whose value determines the value of the output, or dependent variable. COUNTEREXAMPLE(S): PAGES: Inequality WORD: DEFINITION: a statement that compares two expressions by using one of the following signs: . EXAMPLE(S) WORD: COUNTEREXAMPLE(S): Irrational Number DEFINITION: The relation formed when the independent variable is exchanged with the dependent variable in a given relation. The inverse may or may not be a function. Graphed by reflecting across the line . EXAMPLE(S): PAGES: WORD: DEFINITION: a PAGES: Inverse WORD: COUNTEREXAMPLE(S): Line of Best Fit PAGES: real number that cannot be expressed as the ratio of two integers. line that comes closest to all of the points in a data set. Also called the least-squared line; found using regression. EXAMPLE(S): EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Linear Function DEFINITION: the PAGES: DEFINITION: a WORD: Linear Regression function that can be written in the form ! where is the independent variable, and ! and are real numbers. The graph is a straight line. DEFINITION: a EXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): COUNTEREXAMPLE(S): PAGES: statistical method used to find a linear model to a data set. COUNTEREXAMPLE(S): WORD: Mapping Diagram PAGES: DEFINITION: a diagram that shows the relationship of elements in the domain to elements in the range of a relation or function. DEFINITION: a EXAMPLE(S) EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Maximum Value of a Function DEFINITION: the PAGES: WORD: y-value of the highest point on the graph of a function. EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Midpoint PAGES: DEFINITION: the rectangular array of elements. COUNTEREXAMPLE(S): Measure of Central Tendency PAGES: DEFINITION: a measure that describes the center of a data set (mean, median, mode). EXAMPLE(S): COUNTEREXAMPLE(S): WORD: Minimum point that divides a segment into two congruent segments. DEFINITION: the EXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): PAGES: Matrix WORD: Value of a Function PAGES: y-value of the lowest point on the graph of a function. COUNTEREXAMPLE(S): WORD: DEFINITION: a counting number EXAMPLE(S): WORD: % & any nonzero real number WORD: EXAMPLE(S): PAGES: and any integer data sets have no correlation if there is no relationship between the sets of values. EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Parabola data value that is far removed from the rest of the data. found by 1.5*Interquartile Range above and below the Interquartile range. DEFINITION: the EXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): PAGES: DEFINITION: two PAGES: DEFINITION: a COUNTEREXAMPLE(S): No Correlation WORD: COUNTEREXAMPLE(S): Outlier PAGES: data sets have a negative correlation if one set of data values increases as the other set decreases. . EXAMPLE(S): Negative Correlation DEFINITION: two . Negative Exponent #$ WORD: COUNTEREXAMPLE(S): DEFINITION: for ", PAGES: Natural Number PAGES: shape of the graph of a quadratic function. COUNTEREXAMPLE(S): WORD: Parallel Lines DEFINITION: lines PAGES: Perfect Square WORD: in the same plant that do not intersect. DEFINITION: a PAGES: number whose positive square root is a whole number. EXAMPLE(S): COUNTEREXAMPLE(S): PAGES: WORD: Plane DEFINITION: a flat surface that has no thickness and extends WORD: forever. EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Polynomial DEFINITION: an COUNTEREXAMPLE(S): PAGES: DEFINITION: the point-slope form of a linear equation is ! % % , where ! is the slope and % % is a point on the line. EXAMPLE(S): WORD: expression having two or more algebraic COUNTEREXAMPLE(S): Point-Slope Form PAGES: terms. EXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): Population PAGES: DEFINITION: the entire group of objects or individuals considered for a survey or sample. EXAMPLE(S): COUNTEREXAMPLE(S): WORD: Positive Correlation PAGES: WORD: Power of a Power Property PAGES: data sets have a positive correlation if both DEFINITION: if is any nonzero real number and ! and " $ $ sets of data values increase. are integers, then . DEFINITION: two EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Power of a Product Property PAGES: and are any nonzero real numbers and " $ $ $ is any integer, then . DEFINITION: if EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Probability EXAMPLE(S): COUNTEREXAMPLE(S): WORD: Power of a Quotient Property DEFINITION: if and is any integer, then EXAMPLE(S): PAGES: WORD: PAGES: are any nonzero real numbers and " ' $ '& & . COUNTEREXAMPLE(S): Power of Powers Property PAGES: number from 0 to 1 that is the measure of how likely an event is to occur. is any nonzero real number and ! and " $ $ are integers, then . EXAMPLE(S): EXAMPLE(S): DEFINITION: a COUNTEREXAMPLE(S): DEFINITION: if COUNTEREXAMPLE(S): WORD: Product Property of Square Roots DEFINITION: For EXAMPLE(S): , DEFINITION: an . EXAMPLE(S): WORD: . COUNTEREXAMPLE(S): Quadratic Equation WORD: WORD: and PAGES: Quadratic Function EXAMPLE(S): function whose standard form is written where ()* are real numbers and The graph is a parabola. COUNTEREXAMPLE(S): and . COUNTEREXAMPLE(S): Quadratic Formula DEFINITION: the formula # + PAGES: , #-'. which gives solutions, or roots, of a quadratic equation in standard form. EXAMPLE(S): PAGES: DEFINITION: a EXAMPLE(S): a right triangle has legs of lengths and a hypotenuse of length , then WORD: COUNTEREXAMPLE(S): PAGES: DEFINITION: if PAGES: equation that can be written in the form where ()* are real numbers and Pythagorean Theorem WORD: ' COUNTEREXAMPLE(S): Quartile PAGES: DEFINITION: the median of the upper and lower half of a set . of data. First Quartile (Q1) and Third quartile (Q3). EXAMPLE(S): COUNTEREXAMPLE(S): WORD: Quotient of Powers Property PAGES: WORD: Quotient Property of Square Roots is any nonzero real number and ! and " '& #$ . are integers, then / DEFINITION: For EXAMPLE(S): EXAMPLE(S): DEFINITION: if and ' WORD: COUNTEREXAMPLE(S): Radical Symbol PAGES: WORD: ,0 ' ' . COUNTEREXAMPLE(S): PAGES: Radicand symbol used to denote a root. The symbol is used alone to indicate a square root or with an & to indicate the nth root. index DEFINITION: the expression under a radical sign. EXAMPLE(S): EXAMPLE(S): DEFINITION: the WORD: COUNTEREXAMPLE(S): Range of a Function DEFINITION: the PAGES: set of all y-value. WORD: COUNTEREXAMPLE(S): exponent that can be expressed as ! and " are integers, then EXAMPLE(S): COUNTEREXAMPLE(S): PAGES: Rational Exponent DEFINITION: an EXAMPLE(S): PAGES: / & & . COUNTEREXAMPLE(S): $ when WORD: Rational Number PAGES: WORD: ' DEFINITION: a where number that can be written in the form , and are integers and . EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Real Number Rationalizing the Denominator DEFINITION: a method of rewriting a fraction by multiplying by another fraction that is equivalent to 1 in order to remove radical terms from the denominator. EXAMPLE(S): PAGES: WORD: DEFINITION: a COUNTEREXAMPLE(S): product of reciprocals is 1. EXAMPLE(S): EXAMPLE(S): WORD: Residual DEFINITION: for a real number PAGES: WORD: DEFINITION: the , the reciprocal of % is . The ' COUNTEREXAMPLE(S): Sample Space signed vertical distance between a data point and a line of fit. DEFINITION: the EXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): PAGES: Reciprocal rational or irrational number. Every point on the number line represents a real number. COUNTEREXAMPLE(S): PAGES: PAGES: set of all possible outcomes of a probability experiment. COUNTEREXAMPLE(S): WORD: PAGES: Scale Factor DEFINITION: the multiplier used on each dimension to change one figure into a similar figure. DEFINITION: a EXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): Sequence DEFINITION: a list of terms (usually numbers) that form a WORD: patter. EXAMPLE(S): WORD: Solution graph with points plotted to show a possible relationship between two sets of data. PAGES: WORD: COUNTEREXAMPLE(S): of a System of Equations PAGES: DEFINITION: any COUNTEREXAMPLE(S): Slope-Intercept Form PAGES: DEFINITION: the slope-intercept form of a linear equation is ! , where ! is the slope and EXAMPLE(S): WORD: Solution ordered pair(s) that satisfies all the equations in a system. DEFINITION: any EXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): PAGES: Scatter Plot WORD: is the y-intercept. COUNTEREXAMPLE(S): of a System of Inequalities PAGES: ordered pairs that satisfy all the inequalities in a system. COUNTEREXAMPLE(S): PAGES: Solution Set WORD: DEFINITION: the set of values that make a statement true. WORD: Standard Form of a Linear Equation WORD: Standard COUNTEREXAMPLE(S): Form of a Polynomial PAGES: EXAMPLE(S): WORD: Standard Form of a Quadratic polynomial when the terms are in order from greatest degree to least degree. DEFINITION: EXAMPLE(S): EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Substitution Method COUNTEREXAMPLE(S): Equation DEFINITION: a 1 ()* 2 are real numbers DEFINITION: and EXAMPLE(S): 1 2 where ()* 1 are not both 0. numbers and PAGES: WORD: PAGES: 13 . 2 , where PAGES: 1 ()* 2 are real COUNTEREXAMPLE(S): Surface Area PAGES: DEFINITION: a method used to solve systems of equations for DEFINITION: the total area of all faces and curved surfaces one variable and substituting the resulting expression of a three-dimensional figure. into the other equation(s). EXAMPLE(S): COUNTEREXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): WORD: System of Linear Equations PAGES: WORD: DEFINITION: a System of Linear Inequalities system of equations in which all of the equations are linear. DEFINITION: a EXAMPLE(S): EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Third Quartile system of inequalities in which all of the inequalities are linear. PAGES: WORD: DEFINITION: the COUNTEREXAMPLE(S): Transformation median of the upper half of a data set, denoted Q3. Also called “upper quartile.” DEFINITION: a EXAMPLE(S): EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Trend Line WORD: COUNTEREXAMPLE(S): PAGES: Trinomial line on a scatter plot that helps show the correlation between data sets more clearly. DEFINITION: a EXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): PAGES: change in the position, size, and/or shape of a figure (rotation, reflection, translation, dilation). PAGES: DEFINITION: a PAGES: polynomial with three terms. COUNTEREXAMPLE(S): PAGES: Unit Rate WORD: WORD: DEFINITION: a Vertex of a Parabola rate in which the second quantity in the comparison is one unit. DEFINITION: the EXAMPLE(S): EXAMPLE(S): WORD: COUNTEREXAMPLE(S): Vertical Angles DEFINITION: the WORD: lines EXAMPLE(S): WORD: COUNTEREXAMPLE(S): X-Intercept DEFINITION: the EXAMPLE(S): PAGES: DEFINITION: a test used to determine whether a relation is a function. if any vertical line crosses the graph of a relation more than once, the relation is not a function. EXAMPLE(S): WORD: axis. COUNTEREXAMPLE(S): Vertical Line Test PAGES: point(s) where the graph intercepts the x- maximum or minimum point on the parabola. PAGES: nonadjacent angles formed by intersecting PAGES: COUNTEREXAMPLE(S): Y-Intercept DEFINITION: the PAGES: point(s) where the graph intercepts the y- axis. COUNTEREXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): WORD: Zero Exponent DEFINITION: for any nonzero real number , PAGES: 4 WORD: . Zero of a Function DEFINITION: for the function , any number PAGES: such that . EXAMPLE(S): WORD: COUNTEREXAMPLE(S): PAGES: DEFINITION: EXAMPLE(S): WORD: WORD: COUNTEREXAMPLE(S): PAGES: DEFINITION: COUNTEREXAMPLE(S): PAGES: DEFINITION: EXAMPLE(S): EXAMPLE(S): EXAMPLE(S): WORD: COUNTEREXAMPLE(S): PAGES: DEFINITION: COUNTEREXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S):