Vocab Flashcards
Members of the set {1, 2, 3,…}
Not negative and not 0
Natural numbers
The set of numbers consisting of all the rational and irrational numbers
Real numbers
Members of the set {0, 1, 2, 3,…}
Not neg.
Whole numbers
Members of the set {…, -3, -2, -1, 0, 1, 2, 3,…}
Integers
Numbers that are the result of dividing an integer by a nonzero integer
-5/3
Rational numbers
Real numbers that are not rational, such as the square root of 7 and pi
The square root of 3
Irrational numbers
A symbol or group of symbols used to represent a number
3x4
Numerical expression
A numeral expression; a variable; or a sum, difference, product, or quotient that contains one or more variables
X
Y^2–2y+6
Algebraic expression
Ax+ By=C
Standard form
Y=mx+b
Slope intercept form
y-y1=m(x-x1)
Point slope form
An equation that is equivalent to an inequality with a polynomial as one with a polynomial as one side and 0 as the other side
X^2=5x+24
Polynomial equation
An equation that contains a radical with a variable in the radicand
40=the square root of 22d
Radical expression
2/3=x/3
Rational equation
A correspondence between two sets, D and R, that assigns to each member of D exactly one element
Function
An set of ordered pairs D R 1 0 1 2 2 1 3 2
Relation
A function f that can be defined by f(x)=mx+b, where x, m, and b are any real numbers.
F(x)=2x—3
Linear function
F(x)=5x^2
Polynomial function
A function defined by a simplified rational expression in one variable
Y=2x+5/x—1
Rational function
The set of all points (x, y) such that x is in the domain of the function and the rule of the function assigns y to x
Graph of a function
A radical expression expressed as a power or a product of powers
2^13/6
Exponential form
A sentence obtained by replacing the equals sign in a linear equation by an inequality symbol
Y>1/2x+1
Linear inequality
[0, 4)
Interval notation
A method of representing a number in the form m x 10^n, 1 is less than or equal to m < 10 and n is an integer
4006=4.006 x 10^3
Scientific notation
The greatest integer that is a factor of two or more integers
G.C.F.
(ax+b)^2=a^2+2ab+b^2
Perfect square trinominal
a^2—b^2=(a+b)(a—b)
Difference of squares
a^3+b^3=(a+b)(a^2—ab+b^2)
a^3—b^3=(a—b)(a^2+ab+b^2)
Sum and difference of cubes
A quadratic polynomial in which a, b, and c are all nonzero integers
ax^2+bx+c
Quadratic trinomial
