an operation that combines 2 or more functions (ie f(g(x)))
Back
joint variation
Front
z = k x y where k is the constant of variation
Back
linear combination
Front
also known as elimination or the adding of 2 linear equations
Back
coefficient
Front
the constant factor in a variable
Back
direct variation
Front
y = mx or y = kx
Back
matrix
Front
a rectangular array of numbers which are called elements
Back
constant
Front
a number
Back
conjunction
Front
a mathematical sentence formed using the word and
Back
function
Front
x values do not repeat, passes the vertical line test
Back
domain of a function
Front
all the x values possible for the function
Back
fractional equation
Front
a variable occurs in the denominator
Back
inverse variation
Front
y = k/x where k is the constant of variation
Back
exponential equation
Front
a variable appears as an exponent
Back
discriminant
Front
b^2 - 4ac of a quadratic equation and determines the nature of the roots
Back
monomial
Front
a constant, variable or product of a constant and 1 or more variables
Back
completing the square
Front
changing the form of a quadratic equation to make the left side a trinomial square
Back
like radicals
Front
have the same index number and radicand
Back
median
Front
middle number of data in numerical order
Back
mode
Front
number that occurs the most in a set of data
Back
Quadratic formula
Front
allows you to calculate the solution to any quadratic equation
Back
factor a polynomial
Front
the simplified product of other polynomials
Back
Conjugate
Front
where 2 binomials are identical except for the middle operation (ie. a + bi & a - bi) the product is a difference of squares
Back
disjunction
Front
a mathematical sentence formed using the word or
Back
polynomial
Front
a monomial or sum of monomials
Back
quadratic equation in 1 variable
Front
ax^2 + bx + c = 0
Back
imaginary number
Front
i = square root of -1
Back
equation
Front
mathematical sentence with an equal sign
Back
Axes
Front
x & y axis intersecting at the origin (0,0)
Back
quadratic form
Front
an equation that can be rewritten in the form
A[f(x)]^2 + B[f(x)] + C = 0
Back
LCM
Front
the smallest positive monomial that all your terms will divide evenly into
Back
prime factorization
Front
writing a positive integer as a product of prime numbers
Back
mean
Front
average
Back
Linear function
Front
f(x) = mx + b
Back
GCF
Front
the largest expression that divides evenly into all of the terms
Back
exponent
Front
how many times the base occurs as a factor
Back
empty set
Front
no solution
Back
extraneous solution
Front
appears to be a solution but does not make the equation true
Back
open sentence
Front
a mathematical sentence that contains 1 or more variables
Back
complex fraction
Front
a fraction with numerator and/or denominator having 1 or more fractions or powers with negative exponents
Back
quotient
Front
the result of division
Back
Standard form of linear equation
Front
Ax + By = C
Back
binomial
Front
a polynomial with 2 terms
Back
degree of a polynomial
Front
the largest degree of its terms after its been simplified
Back
Absolute value
Front
the distance from 0 on the number line
Back
complex number
Front
where you have a real & imaginary part (a + bi)
Back
Base of a power
Front
the repeated factor of the power
Back
cube root
Front
the cube root of a number b is a solution to the equation or expression
Back
parabola
Front
a set of points equidistant from the line of symmetry and also has a vertex
Back
Section 2
(25 cards)
simplified polynomial
Front
a polynomial in which no two terms are similar and cannot be reduced any further
Back
Descartes rules is used to...
Front
determine the nature of the roots of higher degree polynomials P(x) = 0 and P(-x) = 0 with a given polynomial. Create your chart
Back
when dividing rational expression
Front
you keep the first fraction the same, change division to multiplication and flip the next fraction. You DO NOT need a common denominator
Back
vertex of a parabola
Front
(H, K)
Back
rational function
Front
a function defined by a simplified rational expression in 1 variable
Back
equation solver
Front
Using your calculator program to determine real roots of a polynomial where there are sign changes in the y - values to determine where the root will fall between the x-values. Usually rounded to the nearest tenth.
Back
radical equation
Front
Contains a variable within a radical
Back
Slope
Front
Rate of change
Back
solving with a variable in the exponent
Front
you must make sure that both bases are the same on either side of the = sign, then you can set the exponents = to each other and solve
Back
h/k is used for what?
Front
to find all the possible rational roots of a polynomial
Back
trinomial
Front
a polynomial with 3 terms
Back
Domain of a rational expression
Front
set the denominator = 0 and find what values x cannot = b/c it will make the expression undefined. Cannot divide by 0
Back
RREF
Front
reduced row echelon form - use of matrices and solving a system of equations on the calculator using this tool
Back
questions to ask yourself when factoring
Front
1. is there a gcf
2. is there a special case
3. how can I factor - by grouping or guess and check
Back
What do you know about imaginary roots
Front
they come in conjugate pairs
Back
Rationalizing
Front
This means you cannot have a radical or imaginary number in the denominator and need to multiply by a form of 1, usually the conjugate of the denominator
Back
root
Front
solution that satisfies the equation
Back
Difference of cubes
Front
a^3 - b^3 = (a-b)(a^2 + ab + b^2)
Back
Sum of cubes
Front
a^3 + b^3 = (a+b)(a^2 - ab + b^2)
Back
logarithm
Front
see picture
Back
synthetic division
Front
Back
range of a function
Front
The y - values of a function
Back
Zeros of a rational expression
Front
set the numerator = to 0 and solve to find the values for zero
Back
Adding rational expression
Front
you must have a common denominator for all fractions
Back
How do you write a quadratic equation knowing R1 and R2
Front
You take R1 + R2 and the opposite is your b in your quadratic and R1 (R2) is your C term in your quadratic equation. If you have fractions, you need to multiply through by the LCM