A | B |

absolute value | the distance from zero on a number linea number is. |

adding integers | integers with the same sign, add their absolute value. Give the result the same sign as the integers. Integers with different signs, subtract the lesser absolute value from the greater absolute value. Give the result the same sign as the |

addition property of inequality | For all numbers a, b, and c, the following is true: 1. If a > b, then a + c > b + c. 2. If a < b, then a + c < b + c. |

addition property of equality | For any numbers a, b, and c, if a = b, then a + c = b + c. |

additive identity | For any number a, a + 0 = 0 + a = a. |

additive inverse property | For any number a, a + (-a) = 0. |

algebraic expression | An expression consisting of one or more numbers and variables along with one or more arithmetic operations. |

associative property | For any numbers a, b, and c, (a + b) + c = a + (b + c) and (ab)c = a(bc). |

axes | Two perpendicular number lines that are used to locate points on a coordinate plane. |

base | In an expression of the form x^ n it is x. |

best-fit line | A line drawn on a scatter plot that passes close to most of the data points. |

binomial | The sum of two monomials. |

coefficient | The numerical factor in a term. |

commutative property | For any numbers a and b, a + b = b + c and ab = ba. |

comparison property | For any two numbers a and b, exactly one of the following sentences is true. a < b a = b a > b. |

complex fraction | If a fraction has one or more fractions in the numerator or denominator. |

compound inequality | Two inequalities connected by "and" or "or". |

consecutive integers | Integers in counting order. |

constants | Monomials that are real numbers. |

coordinate | The number that corresponds to a point on a number line. |

coordinate plane | The plane containing the x- and y-axes. |

cross products | When two fractions are compared, the products of the terms on the diagonals. |

defining the variable | Representing one of the unspecified numbers in a problem. |

degree of a monomial | the sum of the exponents of its variables. |

degree of a polynomial | the degree of the term of the greatest degree. |

dependent variable | The variable in a function whose value is determined by the independent variable. |

distributive property | For any numbers a, b and c: 1. a(b + c) = ab + ac and (b + c)a = ba + ca. 2. a(b - c) = ab - ac and (b - c)a = ba - ca. |

dividing rational numbers | The quotient of two rational numbers having the same sign is positive. The quotient of two rational numbers having different signs is negative. |

division property of inequality | For all numbers a, b, and c the following is true: 1. If c is positive and a < b, then a/c < b/c, and if c is positive and a > b, then a/c > b/c. 2. If c is negative and a < b, then a/c > b/c and if c is negative and a > b, then a/c < b/c. |

division property of equality | For any numbers a, b, and c, with c not equal to 0, if a = b, then a/c = b/c. |

domain | the set of all first coordinates from the ordered pairs in a relation. |

element | A member of a set. |

equation | A mathematical sentence that contains an equals sign, =. |

equation in two variables | contains two unknown values. |

equivalent equations | Equations that have the same solution. |

equivalent expressions | Expressions that denote the same number. |

evaluate | To find the value of an expression when the values of the variables are known. |

exponent | In an expression of the form x^n, it is n. |

factors | In a multiplication expression, the quantities being multiplied. |

family of graphs | includes graphs and equations of graphs that have at least one characteristice in common. |

FOIL method | To multiply two binomial find the sum of the products of F: the first terms, O: the outside terms, I: the inside terms, and L: the last terms. |

formula | An equation that states a rule for the relationship between certain quantities. |

function | A relation in which each element of the domain is paired with exactly one element of the range. |

functional notation | the equation y = x + 5 is written as f(x) = x + 5. |

graph | To draw, or plot, the points named by certain numbers or ordered pairs on a number line or coordinate plane, respectively. |

horizontal axis | The horizontal line in a graph that represents the independent variable. |

identity | An equation that is true for every value of the variable. |

independent variable | The variable in a function whose value is subject to choice is the independent variable. The independent variable affects the value of the dependent variable. |

inequality | A mathematical sentence havin the symbols <, < or equal to, >, or > or equal to. |

integers | The set of numbers represented as {..., -3, -2, -1, 0, 1, 2, 3, ...} |

intersection | the set of elements common to both A and B. |

irrational numbers | A number that cannot be expressed in the form a/b, where a and b are integers and b does not equal 0. |

like terms | Terms that contain the same variables, with corresponding variables with the same power. |

linear equation | An equation whose graph is a line. |

linear function | An equation whose graph is a nonvertical line. |

monomial | a number, a variable, or a product of a number and one or more variables. |

multi-step equations | equations that need more than one operation to solve them. |

multiplicative identity | For any number a, (a)(1) = (1)(a) = a. |

multiplicative inverse | For any nonzero number a/b, where a, b are not equal to 0, there is exactly one number b/a such that (a/b)(b/a) = 1. |

multiplication property of inequality | For all numbers a, b, and c, the following is true: 1. If c is positive and a < b, then ac < bc, c is not equal to 0 and if c is positive and a > b, then ac > bc, c is not equal to 0. 2. If c is negative and a < b, then ac > bc, c is not equal to 0 and |

multiplicatve property fo -1 | The product of an number and -1 is the additive inverse. -1(a) = -1 and a(-1) = -a. |

multiplicative property of equality | For any numbers a, b and c, if a = b, then ac = bc. |

multiplicative property of zero | For any number a, (a)(0) = (0)(a) = 0. |

negative correlation | the values of x and y are related in opposite ways. |

negative exponent | For any nonzero number a, and any integer n, a^(-n) is equal to 1/a^n power. |

negative number | Any number that is less that zero. |

number line | A line with equal distances marked off to represent numbers. |

open sentences | Mathematical statements with one or more variables, or unknown numbers. |

opposites | its additive inverse. |

order of operations | 1. Simplify the expressions inside grouping symbols, such as parentheses, brackets, and braces, and as indicated by fraction bars. 2. Evaluate all powers. 3. Do all multiplications and divisions from left to right. 4. Do all additions and subtractions |

ordered pair | Pairs of numbers used to locate points in the coordinate plane. |

origin | The point of intersection of the two axes in the coordinate plane. |

parallel lines | Lines in the plane that never intersect. Nonvertical lines that have the same slope. |

parent graph | The simplest graph in a family of graphs. |

percent | is a ratio that compares a number to 100. |

percentage | The number that is divided by the base in a percent proportion. |

percent of decrease | The ratio of an amount of decrease to the previous amount, expressed as a percent. |

percent of increase | The ratio of an amount of increase to the previous amount expressed as a percent. |

perpendicular lines | Lines that meet to form right angles. |

point-slope form | For any point (x[1], y[1]) on a nonvertical line having slope m, the point-slope form of a linear equation is as follows: y - y[1] = m(x - x[1]) |

polynomial | is a monomial or a sum of monomials. |

positive correlation | if the values x and y are related in the same way. |

power | An expression of the form x^n |

power of a monomial | For any numbers a and b, and any integers m, n, and p, (a^mb^n)^p = a^mpb^np. |

power of a power | For any number a and all integers m and n, (a^m)^n = a^mn. |

power of a product | For all numbersa and b, and any integer m, (ab)^m = a^mb^m. |

product | The result of multiplication |

product of powers | For any number a, and all integers m and n, (a^m)(a^n) = a^(m + n). |

quadrant | One of the four regions into which the x- and y- axes separate the coordinate plane. |

quotient of powers | For all integers m and n and any nonzero number a, (a^m)/(a^n) = a^(m - n). |

range | The set of all second coordinates from the ordered pairs in the relation. |

ratio | is a comparison of two numbers by division. |

rational numbers | is a number that can be expressed in the form a/b, where a and b are integers and b does not equal to 0. |

real numbers | The set of rational number and the set of irrational numbers |

reciprocal | The multiplicative inverse of a number. |

reflexive property of equality | For any number a, a = a. |

regression line | The most accurate best-fit line for a set of data, and can be determined with a graphing calculator. |

relation | a set of ordered pairs. |

replacement set | A set of numbers from which replacements for a variable may be chosen. |

rise | The vertical change in a line. |

run | The horizontal change in a line. |

scalar multiplication | each element of a matrix is multiplied by a constant. |

scatter plot | the two sets of data are plotted as ordered pairs in the coordinate plane. |

scientific notation | the form "a" x 10^n, where 1 less than or equal to "a" < 10 and n is an integer. |

set | A collection of objects or numbers. |

set-builder notation | A notation use to describe the members of a set. For example, {y|y<17} represents the set of all numbers y such that y is less than 17. |

simplest form | an expression having no like terms and no parentheses. |

slope | The ratio of the rise to the run as you move from one point to another along a line. |

slope-intercept form | An equation of the form y = mx + b, where m is the slope and b is the y-intercept of a given line. |

solution | A replacement for the variable in an open sentence that results in a true sentence. |

solution of an equation in two variables | If a true statement results when the numbers in an ordered pair are substituted into an equation in two variables. |

solution set | The set of all replacements for the variable in an open sentence that result in a true statement. |

solve an equation | means to isolate the variable having a coefficient of 1 on one side of the equation. |

solving an open sentence | Finding a replacement for the variable that results in a true sentence. |

square of a difference | If an and b are any numbers, (a - b)^2 = a^2 - 2ab + b^2. |

square of a sum | If a and b are any numbers, (a + b)^2 = a^2 + 2ab + b^2. |

substitution property of equality | If a = b, thena may be replace by b in any expression. |

subtracting integers | To subtract a number, add its additive inverse. For any numbers a and b, a - b = a +(-b). |

subtraction property of inequality | For all numbers a, b, and c, the following are true: 1. if a > b, then a - c > b - c. 2. if a < b, then a - c < b - c. |

subtraction property of equality | For any numbers a, b, and c, if a = b,then a - c = b - c. |

symmetric property of equality | For any numbers a and b, if a = b, then b = a. |

term | A number, a variable, or a product or quotient of numbers and variables. |

transitive property of equality | For any numbers a, b, and c, if a = b and b = c, then a = c. |

trinomials | the sum of three monomials. |

uniform motion | When an object moves at a constant speed, or rate |

variable | Variables are symbols that are used to represent unspecified numbers. |

vertical axis | The vertical line in a graph that represents the dependent variable. |

vertical line test | If any vertical line passes through no more than one point of the graph of a relation, then the relation is a function. |

whole numbers | is represented by {0,1,2,3,...}. |

x-axis | The horizontal number line. |

x-coordinate | The first number in an ordered pair. |

x-intercept | The coordinate at which a graph intersects the x-axis. |

y-axis | The vertical number line. |

y-coordinate | The second number in an ordered pair. |

y-intercept | The coordinate at which a graph intersects the y-axis. |

zero exponent | For any nonzero number a, a^0 = 1. |