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# Algebra 1 Vocabulary

### 8th Grade Review

Term | Definition |
---|---|

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