Search All »
Math
»
JRA Algebra Basics

Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# JRA Algebra Basics

### Algebra II Chapter 1 Equations + Inequalities

Question | Answer |
---|---|

Symbols, usually letters, used to represent unknown quantities. | variables |

Expressions that contain at least one variable. | algebraic expression |

1. Evaluate expressions inside grouping symbols. 2. Evaluate all powers. 3. Multiply and/or divide from left to right. 4. Add and/or subtract from left to right. | order of operations |

An algebraic expression that is a number, a variable, or the product of a number and one or more variable(s). | monomial |

Monomials that contain no variables. | constants |

The numerical factor of a monomial. | coefficient |

The sum of the exponents of a monomial's variables. | degree |

An expression of the form x multiplied n times. | power |

A monomial or a sum of monomials. | polynomial |

The monomials that make up a polynomial. | terms |

Two or more terms of a polynomial that can be combined. | like terms |

A polynomial with three unlike terms. | trinomial |

A polynomial with two unlike terms. | binomial |

A mathematical sentence that expresses the relationship between certain quantities. | formula |

The numbers that you use in everyday life. | real numbers |

A real number that can be written as a fraction. | rational number |

A real number that cannot be written as a fraction. | irrational number |

The rational numbers that you use for counting beginning with 1. | natural (counting) numbers |

All rational numbers beginning with 0 that do not have any decimals. | whole numbers |

All the rational numbers without decimals (includes negative numbers). | integers |

a+b = b+a or a(b) = b(a) | commutative property |

(a+b)+c = a+(b+c) or (ab)c = a(bc) | associative property |

a+0 = a = 0+a or a(1) = 1(a) | identity property |

a+(-a) = 0 = (-a)+a or if a does not equal 0, then a(1/a) = 1 - 1/a(a) | inverse property |

a(b+c) = ab+bc and (b+c)a = ba+ca | distributive property |

A mathematical sentence containing one or more variables. | open sentence |

A mathematical sentence stating that two mathematical expressions are equal. | equation |

Each replacement in an open sentence that results in a true sentence. | solution |

a = a | reflexive property |

If a = b, then b = a. | symmetric property |

If a = b, and b = c, then a = c. | transitive property |

If a = b, then a may be replaced by b and b may be replaced by a. | substitution property |

A number's distance from 0 on the number line. | absolute value |

The solution set for an absolute value equation that is not true. | empty set |

The property that states for any two real number, a and b, a < b, a = b, and a > b. | Trichotomy Property |

A solution set of an inequality which is read as "the set of all numbers x such that x is >, <, or = to y. | set-builder notation |

An inequality that consists of two inequalities joined by the word and or the word or. | compound inequality |

The graph of a compound inequality containing and. | intersection |

Compound inequalities involving the word and. | conjunctions |

Compound inequalities involving the word or. | disjunctions |

The graph of a compound inequality containing or. | union |

Created by:
LOSBH47