Polynomials
General Algebra Symbols & Vocabulary
Simultaneous Equations
Inequalities
Relations and Ordered Pairs
100
Called like terms.
If two terms of a polynomial have the same variables raised to the same powers, the terms are called
100
What is the symbol for root, square root, radical?
100
A system of equations
A set of two or more equations with the same variables is called a...?
100
Called inequalities
Mathematical sentences containing <, >, ≥, or ≤ are called...?
100
A relation
From set A to set B, is any set of ordered pairs in A x B, what is it called...?
200
A monomial.
A polynomial with a single term is a...?
200
A variable.
A letter that takes the place of a number; an unknown quantity.
200
Elimination method
In what method do we try to get an equation with only one variable, or to eliminate a variable?
200
the solution set
The set of all solutions is called the...?
200
the range
The set of all second members in a relation is the...? (the y's)
300
A binomial.
A polynomial with two terms is called a...?
300
Constant
A numerical value that does not change is called a...?
300
y = x - 1 2x - 3y = 7 (what method is best to use? Disconsider graphing method.)
In what occasion is the substitution method best to use?
300
the empty set
If sets have no common members, the intersection is the...?
300
the domain
The set of all first members in a relation is the...? (the x's)
400
A trinomial.
A polynomial with three terms is called a...?
400
An open phrase
An algebraic expression that contains a variable but does not contain enough information to solve for the variable is called the...? (ex.: x+3)
400
2x + 4y = 14 -3x + y = 14 (what method is best to use? Disconsider graphing method)
In what occasions is it best to use elimination method?
400
An intersection
The set of common elements of two or more sets is called the...?
400
The Cartesian Product.
The set of all ordered pairs formed and denoted as A x B, is called the...?
500
The power of each term adds. (x^a+b)
When x^a * x^b, the power of each term...?
500
An open sentence
An algebraic expression that not only contains a variable, but also provides enough information to solve for the variable is called the ...? Is an equation or inequality. (ex.: x - 7 = 18)
500
Method of linear combinations.
If all variable have coefficients other than 1, we can use the multiplication and addition properties to find a combination of the linear equations that will eliminate a variable, what method do we use?
500
Called conjunction.
When two or more statements are joined by the word and, the new compound statement is called a...?
500
is set-builder notation
When we need to refer to those elements that satisfy a certain condition we use...? (ex.: x l x > 3)