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# Algebra 1 Vocabulary

TermDefinition
Algebra A branch of mathematics that substitutes letters, variables, in replace of numbers.
Algebraic Expression A mathematical phrase that is written using one or more variables and constants, but does not contain a relation symbol.
Associative Property A property of real numbers that states that the sum or product of a set of numbers or variables has the same value, regardless of how the numbers or variables are grouped.
Binomial An algebraic expression consisting of exactly two terms.
Closure A set of numbers is said to be closed, or to have closure, under a given operation if the result of the operations on any two numbers in the set is also in the set.
Coefficient The numerical factor of a term in a polynomial.
Commutative Property A property of real numbers that states that the sum or product of two terms is unaffected by the order in which the terms are added or multiplied.
Congruent Exactly equal in size, shape, and value.
Constant A term or expression with no variables. Also, a term or expression for which any variables cancel out.
Converse of Pythagorean Theorem Switching the hypothesis and conclusion of a conditional statement. If the Pythagorean Theorem work, then the triangle is a right triangle.
Cube Root A number written as (3rd power radical x) whose cube is x.
Degree of Monomial/Polynomial The highest degree of the monomial terms in the polynomials. The degree of a non-zero monomial is the sum of the exponents of the variables that appear in the monomial.
Distributive Property For all real numbers. You distribute the number in front of the parenthesis through out the parenthesis.
Equation A mathematical sentence stating that two expressions are equal.
Exponent The number that indicates how many times the base in a power is used as a factor.
Expression A mathematical phrase that combines numbers and/or variables using mathematical operations and does not have an equal sign.
Finite Decimal (Terminating Decimal) A finite decimal is one that stops.
Hypotenuse The side of a right triangle opposite the right angle; the longest side of a right triangle.
Identity Property of Addition States that the sum of zero and any number or variable is the number or variable itself.
Identity Property of Multiplication States that the product of one and any number or variable is the number or variable itself.
Index In the radical nth root of x, n is the index.
Infinite Decimal Is a non terminating decimal.
Integer A number expressible in the form a or -a from some whole number a.
Inverse Property of Addition Adding the opposite of a number to the number will give you a sum zero.
Inverse Property of Multiplication f you multiply a number by its reciprocal (multiplicative inverse) the product is 1.
Irrational Number Real numbers that are not . Numbers classified as _________ cannot be written as a fraction.
Leading Coefficient The numerical value of the first term in an expression when written in standard form. The value 5 is the leading coefficient of the polynomial 5x2 – 3x + 7.
Leading Term The first term of an expression when written in standard form. The term 5x2 is called the leading term of the polynomial 5x2 – 3x + 7.
Legs of Right Triangle The two sides of a right triangle that form the right angle.
Like Terms Terms which have the same and and/or . They can be combined using addition or subtraction. If they aren't ________ they cannot be combined using addition or subtraction.
Monomial A polynomial with one term; it is a number, a variable, or the product of a number (the coefficient) and one or more variables.
Negative Exponent For any nonzero real number x and any integer n,
Numerical Expression An expression that contains only numerical symbols (no variables) and that evaluates to a single number.
Perfect Square Any number that is the square of a .
Polynomial A monomial or sum of monomials.
Power The result of raising a to an . For example, 8 is a power of 2 since 8 is 23.
Pythagorean Theorem a2+b2=c2
Radical The root of a quantity as indicated by the radical sign.
Radicand The quantity under a radical sign; a number or expression from which a root is extracted.
Rational Number A number expressible in the form or for some fraction . The rational numbers include the integers.
Rationalizing the Denominator 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.
Real Numbers The set of numbers that includes all rational and irrational numbers.
Reciprocal A reciprocal is the multiplicative inverse of a number. The numerator and denominator switch positions. The reciprocal of is , the reciprocal of 4 is .
Right Triangle A triangle with one right angle.
Square Root A value that, when multiplied by itself, gives the number.
Terminating Decimal A decimal that ends.
Trinomial A polynomial with exactly three terms.
Variable A quantity whose value can change or vary; in algebra, letters often represent variables.
Created by: Lana Smith