# Shared Flashcard Set

## Details

Algebra Terms Short List
Algebra Terms students have the most trouble with
71
Mathematics
Undergraduate 1
08/08/2009

## Cards Return to Set Details

Term
 Absolute Value of A Number
Definition
 The distance of the number from zero on the number line.
Term
 Additive Inverses
Definition
 Numbers that are the same distance from zero on the number line, but not opposite sides; also called opposites.
Term
 Binomial
Definition
 A polynomial of two terms.
Term
 Binomial Factor
Definition
 A factor that has two terms.
Term
 Coefficient
Definition
 The number part of a variable term.
Term
 Combining Like Terms
Definition
 Using the Distributive Property to add the coefficients of like variable terms; adding like terms of variable expressions.
Term
 Consecutive Even Integers
Definition
 Even integers that follow one another in order.
Term
 Consecutive Integers
Definition
 Integers that follow one another in order.
Term
 Consecutive Odd Integers
Definition
 Odd integers that follow one another in order.
Term
 Constant Term
Definition
 A term that includes no variable part; also called a constant.
Term
 Dependent Variable
Definition
 In a funtion, the variable whose value depends on the value of another variable known as the independent variable.
Term
 Equation
Definition
 A statement of the equality of two mathematical expressions.
Term
 Equivalent Equations
Definition
 Equations that have the same solution.
Term
 Evaluating A Variable Expression
Definition
 Replacing each variable by its value and then simplifying the resulting numerical expression.
Term
 Factor Completely
Definition
 Refers to writing a polynomial as a product of factors that are nonfactorable over the intergers.
Term
 Factor of A Number
Definition
 In multiplication, a number being multiplied.
Term
 Factor A Polynomial
Definition
 To write the polynomial as a product of other polynomials.
Term
 First-degree equation In Two Variables
Definition
 An equation of the form y=mx+b, where m is the coefficient and b is a constance; also called a linear equation in two variables
Term
 Formula
Definition
 A literal equation that states rules about measurements.
Term
 Function
Definition
 A relation in which no two ordered pairs that have the same first coordinate have different second coordinates.
Term
 Graph A Point In the Plane
Definition
 To place a dot at the location given by the ordered pair; also called plotting a point in the plane.
Term
 Graph of an Ordered Pair
Definition
 The dot drawn at the coordinants of the point in a plane.
Term
 Greater Than
Definition
 A number a is greater thananother number b, written a > b on the number line.
Term
 Greatest Common Factor (GCF)
Definition
 The greatest common factor of two or more integers is the GCF of the coefficients and the common variable factors.
Term
 Independent Variable
Definition
 In a function, the variable that varies independently and whose value determines the value of the dependent variable.
Term
 Inequality
Definition
 An expression that contains the symbol >, <, ≥ (is greater than or equal to), or ≤ (is less than or equal to).
Term
 Integers
Definition
 The numbers {..., -3, -2, -1, 0, 1, 2 , 3, ...}
Term
 Irrational Number
Definition
 The decimal representation of an irrational number never repeats or terminates and can only be approximated.
Term
 Least Common Denominator (LCD)
Definition
 The smallest number that is a multiple of each denominator in question.
Term
 Least Common Multiple (LCM)
Definition
 The LCM of two or more numbers is the smallest number that contains the prime factorizations of each number.
Term
 Less Than
Definition
 A number a is less than another number b, written a < b on the number line.
Term
 Like Terms
Definition
 Terms of a variable expression that have the same variable part.
Term
 Monomial
Definition
 A number, a variable, or a product of numbers and variables; a polynomial of one term.
Term
 Multiplicative Inverse
Definition
 The reciprocal of a number.
Term
 Natural Numbers
Definition
 The numbers {1, 2, 3, ...}
Term
 Negative Slope
Definition
 A property of a line that slants downward to the right.
Term
 Nonfactorable Over the Intergers
Definition
 A polynomial that does not factor using only intergers.
Term
 Numerical Coefficient
Definition
 The numerical part of a variable term. When the numerical coefficient is 1 or -1, the 1 is usually not written.
Term
 Opposite of A Polynomial
Definition
 The polonomial created when the sign of each term of the original polynomial is changed.
Term
 Ordered Pair
Definition
 Pair of numbers of the form that can be used to identify a point in the plane determined by the axes ofa rectangular coordinate system.
Term
 Order of Operations Agreement
Definition
 A set of rules that tell us in what order to perform the operations that occur in a numerical expression.
Term
 Perfect-Square Trinomial
Definition
 A trinomial that is a product of a binomial and itself.
Term
 Polynomial
Definition
 A variable expression in which the terms are monomials.
Term
 Prime Factorization
Definition
 Expressing a number as a product of prime numbers.
Term
 Prime Number
Definition
 Number whose only factors are 1 and the number.
Term
 Prime Polynomial
Definition
 A polynomial that is nonfactorable over the integers.
Term
 Pythagorean Theorem
Definition
 The square of the hypotenuse of a right triangle is equal to the sum of the squares of the two legs.
Term
 Ratio
Definition
 The quotient of two quatities that have the same unit.
Term
 Rational Expression
Definition
 A fraction in which the numerator or denominator is a polynomial.
Term
 Rational Number
Definition
 A number that can be written in the form of a/b, where a and b are integers and b is not equal to zero.
Term
 Real Numbers
Definition
 The rational numbers and the irrational numbers.
Term
 Reciprocal of A Fraction
Definition
 Fraction that results when the numerator and the denominator of a fraction are interchanged.
Term
 Relation
Definition
 Any set of ordered pairs.
Term
 Set
Definition
 A collection of objects.
Term
 Slope
Definition
 The measure of the slant of a line. The symbol for slope is m.
Term
 Slope-intercept Form
Definition
 The slope-intercept form of an equation of a straight line is y=mx+b.
Term
 Solution of an equation
Definition
 A number that, when substituted for the variable, results in a true equation.
Term
 Solution of an equation in two variables
Definition
 An ordered pair whose coordinates make the equation a true statement.
Term
 Solution Set of an Inequality
Definition
 A set of numbers, each element of which, when substitued for the variable, results in a true inequality.
Term
 Solving an Equation
Definition
 Finding a solution of the equation
Term
 Terms of A Variable Expression
Definition
 The addends of the expression.
Term
 Trinomial
Definition
 A polynomial of three terms.
Term
 Undefined Slope
Definition
 A property of a vertical line.
Term
 Value of a Variable
Definition
 The number assigned to the variable.
Term
 Variable
Definition
 A letter of the alphabet used to stand for a number that is unknown or that can change.
Term
 Variable Expression
Definition
 An expression that contains one or more variables.
Term
 Variable Part
Definition
 In a variable term, the variable or variables and their exponents.
Term
 Variable Term
Definition
 A term composed of a numerical coefficient and a variable part.
Term
 x-intercept
Definition
 The point at which a graph crosses the x-axis.
Term
 y-intercept
Definition
 The point at which a graph crosses the y-axis.
Term
 Zero Slope
Definition
 A property of a horizontal line.
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