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8th Grade Review

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Term
Definition
Algebra   A branch of mathematics that substitutes letters, variables, in replace of numbers.  
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Algebraic Expression   A mathematical phrase that is written using one or more variables and constants, but does not contain a relation symbol.  
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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.  
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Binomial   An algebraic expression consisting of exactly two terms.  
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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.  
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Coefficient   The numerical factor of a term in a polynomial.  
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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.  
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Congruent   Exactly equal in size, shape, and value.  
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Constant   A term or expression with no variables. Also, a term or expression for which any variables cancel out.  
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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.  
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Cube Root   A number written as (3rd power radical x) whose cube is x.  
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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.  
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Distributive Property   For all real numbers. You distribute the number in front of the parenthesis through out the parenthesis.  
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Equation   A mathematical sentence stating that two expressions are equal.  
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Exponent   The number that indicates how many times the base in a power is used as a factor.  
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Expression   A mathematical phrase that combines numbers and/or variables using mathematical operations and does not have an equal sign.  
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Finite Decimal (Terminating Decimal)   A finite decimal is one that stops.  
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Hypotenuse   The side of a right triangle opposite the right angle; the longest side of a right triangle.  
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Identity Property of Addition   States that the sum of zero and any number or variable is the number or variable itself.  
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Identity Property of Multiplication   States that the product of one and any number or variable is the number or variable itself.  
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Index   In the radical nth root of x, n is the index.  
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Infinite Decimal   Is a non terminating decimal.  
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Integer   A number expressible in the form a or -a from some whole number a.  
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Inverse Property of Addition   Adding the opposite of a number to the number will give you a sum zero.  
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Inverse Property of Multiplication   f you multiply a number by its reciprocal (multiplicative inverse) the product is 1.  
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Irrational Number   Real numbers that are not . Numbers classified as _________ cannot be written as a fraction.  
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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.  
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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.  
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Legs of Right Triangle   The two sides of a right triangle that form the right angle.  
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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.  
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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.  
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Negative Exponent   For any nonzero real number x and any integer n,  
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Numerical Expression   An expression that contains only numerical symbols (no variables) and that evaluates to a single number.  
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Perfect Square   Any number that is the square of a .  
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Polynomial   A monomial or sum of monomials.  
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Power   The result of raising a to an . For example, 8 is a power of 2 since 8 is 23.  
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Pythagorean Theorem   a2+b2=c2  
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Radical   The root of a quantity as indicated by the radical sign.  
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Radicand   The quantity under a radical sign; a number or expression from which a root is extracted.  
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Rational Number   A number expressible in the form or for some fraction . The rational numbers include the integers.  
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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.  
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Real Numbers   The set of numbers that includes all rational and irrational numbers.  
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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 .  
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Right Triangle   A triangle with one right angle.  
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Square Root   A value that, when multiplied by itself, gives the number.  
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Terminating Decimal   A decimal that ends.  
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Trinomial   A polynomial with exactly three terms.  
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Variable   A quantity whose value can change or vary; in algebra, letters often represent variables.  
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