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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
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